Keywords: Sistemas Electrónicos de Potencia, Control Clásico, Control de Sistemas No Lineales
Abstract: In this paper, we present a proposed toolbox designed to calculate the tuning parameters of the current-mode lead-lag phase controller of a boost converter. This toolbox uses user-supplied specifications, such as electronic components, operating values, and step response parameters. Unlike heuristic or numerical optimization techniques, the tuning methodology offers a unique solution for tuning the controller parameters, which is simple to automate. In addition, the toolbox provides simulations and reports on controller tuning parameters. It also presents graphs of the step response, Bode diagram, and control signal. This toolbox stands out due to its validation through implementation on an analog design development board for didactic purposes. In this way, it proves to be a valuable tool for teaching and learning in the field of power electronics and classical control systems.

Keywords: Sistemas Electrónicos de Potencia, Sistemas Eléctricos de Potencia, Control Basado en pasividad
Abstract: In this paper, an alternative use of a single-phase reduced active front-end as LVDC point-to-point transmission is modeled and used as a power stage for grid-tied applications. An alternative to direct power control (DPC) is used to improve the transfer of active power between LVAC grids and microgrids. The aim is to define active power and reactive power as state variables is to simplify a control law based on a passivity-based approach. Simulations are carried out to show the effectiveness of the proposed research.

Keywords: Control de Sistemas No Lineales, Control Discontinuo (modos deslizantes)
Abstract: The use of renewable energy has experienced significant growth as part of efforts to reduce fossil fuel consumption. Mexico, due to its geographical location, holds significant potential for solar energy development. However, this valuable resource remains underutilized, largely due to the low efficiency of photovoltaic panels. To meet user demand for power, implementing a power converter and control algorithms is essential. This article focuses on the implications of not having a voltage converter and analyzes the performance of various controllers applied to the Maximum Power Point tracking problem. Specifically, it examines Proportional Integral Derivative control, first-order sliding mode control, and Super Twisting sliding mode control under abrupt and smooth changes in temperature and irradiance. The objective is to determine the most efficient and reliable control strategy for solving the stated problem.

Keywords: Sistemas Electrónicos de Potencia, Sistemas Eléctricos de Potencia, Control Inteligente
Abstract: The article reviews multilevel converters and fundamental technologies in high-power and energy-efficient applications. Different converter topologies and their most common applications in industry are examined. One of the critical aspects of the study is the evaluation of fault diagnosis strategies in these systems. Early identification and correction of faults are crucial for maintaining the reliability and efficiency of multilevel converters. Various diagnostic techniques are analyzed, highlighting their accuracy, response time, and execution speed. Finally, the article emphasizes the OC at rapid fault detection and diagnosis prevent failures and optimize the performance and lifespan of multilevel converters.

Keywords: Modelado e Identificación de Sistemas, Robótica y Mecatrónica, Control de Sistemas No Lineales
Abstract: In this paper we present a comparative numerical simulation study of three dynamic regressor extension and mixing estimators applied to the quadrotor system. Our main objective is to compare the transient performance of these three parameter estimators a topic that plays a major role in parameter estimation tasks. Our study goes beyond verifying theoretically validated (asymptotic) properties. We delve into aspects not previously explored, such as sensitivity to tuning parameters, focusing specifically on a quadrotor dynamic model. The ultimate goal of this study is to provide useful design guidelines for the unmanned aerial vehicles community interested in utilizing these estimators.

Keywords: Robótica y Mecatrónica
Abstract: In this paper, the design of state observer control strategy for the formation following of pair of differential robots using leader-follower scheme is presented. The mathematical model of the mobile robots is constructed from kinematic extension. The non-measurable states of system are estimated by means of Luenberger-type state observers. This proposal is based on enabling a robot follower to maintain a predefined formation with respect to a robot leader. The task of the leading robot is to follow a pre-established by the user trajectory. The theoretical results are numerically and experimentally validated.

Keywords: Robótica y Mecatrónica, Sistemas Multi-Agente
Abstract: In this work, a formation tracking control strategy for multi-agent system is proposed. The agents of the system are differential robots with second-order models obtained from a kinematic extension. The proposed control strategy is based on Luenberger observers to estimate agent's velocities. The theoretical results are validated experimentally.

Keywords: Robótica y Mecatrónica, Sistemas Electromecánicos
Abstract: This paper addresses the attitude stabilization problem of a flying robot with four rotors. We propose an alternative attitude dynamic model based on the unit quaternion. The proposed dynamic model resembles the equation of motion of a four degrees of freedom robot manipulator and shares similar properties. If the desired attitude is constant, we show that a PD controller renders the equilibrium point oft closed-loop dynamics exponentially stable. The validity of the dynamic model and effectiveness of the controller were assessed by experimental results on a small quadrotor

Keywords: Control Óptimo, Control de Sistemas No Lineales, Robótica y Mecatrónica
Abstract: The present work addressed the problem of autonomous navigation of wheeled mobile robots, specifically the Differential Driving Robot (DDR). The DDR kinematic model is nonlinear, which requires adequate automatic control strategies for good performance in autonomous navigation. The variables of the DDR mathematical model are the robot's position expressed in a global Cartesian reference frame, its orientation, its linear speed, and its angular speed. It was proposed that the navigation problem of a DDR be solved by following a reference trajectory using model-based nonlinear predictive control. In addition, a potential field algorithm was added for obstacle avoidance. Experiments were carried out in a dynamic simulator. Several simulations provided convincing evidence of the feasibility of implementing a real robot using the proposed approach.

Keywords: Control Óptimo, Control de Sistemas Lineales, Sistemas Electromecánicos
Abstract: This work focuses on tuning of an I-PD controller using the Differential Evolution (ED) algorithm. The cost function employed in this research aims to minimize both the tracking error and the energy consumption of the controller. The ED algorithm shows satisfactory results in finding suitable gain values for the I-PD controller, which were validated on an experimental platform. Additionally, the study highlights the importance of incorporating the stability conditions imposed to the controller gains as constraints in the tuning process to ensure that the solutions provided by the ED algorithm produce a stable closed-loop system.

Keywords: Control Óptimo, Control de Sistemas No Lineales, Sistemas Electromecánicos
Abstract: This work presents the design of an extended Kalman filter for electrical angular position error estimation of a permanent-magnet synchronous motor. The method uses the Riccati equation to find an optimal gain value for the filter. The Riccati equation is solved using a 4th-order Runge-Kutta algorithm. The filter also successfully estimates the motor currents and angular speed. The Kalman filter allows to perform speed control when the motor presents a misalignment error and is subjected to a time-varying load torque. Finally, high-precision emulations validate the operation of the filter.

Keywords: Control Óptimo, Control de Sistemas No Lineales, Sistemas Estocásticos
Abstract: We consider the problem of optimal investment in an incomplete market with borrowing, random and possibly unbounded coefficients, and the power utility from terminal wealth. We use the Heston model for stochastic volatility, and the quadratic-affine model for interest rates. The resulting problem is an example of optimal stochastic control problem with a nonlinear system dynamics which is due to borrowing, the square-root non-linearity of Heston model, and the quadratic non-linearity of the interest rates. Explicit closed-form solution is obtained by a certain piece-wise completion of squares method. The resulting optimal control law is of linear statefeedback form the gain of which can be in up to three different regimes.

Keywords: Sistemas Electrónicos de Potencia, Modelado e Identificación de Sistemas
Abstract: Hydrogen is currently the most proposed element to replace fossil fuels in processes that require high heat power because it does not produce greenhouse gases in its combustion, so its production is based on the electrolysis of water using renewable sources of DC electrical energy. This work uses a quadratic buck converter to interconnect a DC source and electrolyzer, which requires feeding it with a regulated voltage. A combined model of the converter with the equivalent dynamic electrical circuit of the electrolyzer is proposed. Linear switching and linear average state space models are developed. The dynamic behavior of this model is compared with that resulting from using the static representation of the electrolyzer through simulation in Matlab software.

Keywords: Control de Sistemas No Lineales, Control Inteligente, Control Robusto
Abstract: A small 600 W aerogenerator operating in isolated mode is considered, under bounded wind and load changes. A model of its wind turbine is proposed, and a control system is designed that operates under low and medium winds. The control system consists of a proportional derivative controller with current compensation, designed for the non-linear averaging model of the boost converter of the aerogenerator, that guarantees stability in the Lyapunov sense and ensures that the current supplied to the load follows a specified current reference. The current reference is generated by a gradient descent maximum power point tracking algorithm.

Keywords: Modelado e Identificación de Sistemas, Sistemas Electrónicos de Potencia, Otros Tópicos Afines
Abstract: Power electronic converters have been widely used in conjunction with a control law to maintain a regulated supply in the face of input or output disturbances. Although the control law stabilizes the converter at an operating point, stability conditions when there are supply variable sources to the converter have not yet been sufficiently explored. In this work, stability conditions are analyzed under the Lyapunov criterion of a system made up of a photovoltaic panel and a conventional Boost converter. The state space equations of the converter are coupled to a dynamic equation of the panel that arises considering the charging dynamics of a capacitor on the input bus. The resulting system of equations (averaged state space) is analyzed using Lyapunov stability criteria and the dynamics of each state variable are graphed. The methodology presented in this work can be applied to systems with other converters and another order.

Keywords: Control de Sistemas Lineales, Control Basado en pasividad, Sistemas Eléctricos de Potencia
Abstract: This paper presents a brief survey of some of the main results in the negative imaginary systems theory and its applications. In particular, the paper concentrates on the application of lossless negative imaginary property for the characterization of the LCL filter, widely used for grid-connected inverters. The characterization is established when (all possible) the LCL filter transfer functions satisfy the lossless negative imaginary conditions. The results are compared with the frequency response of the LCL filter transfer functions.

Keywords: Sistemas Electrónicos de Potencia, Sistemas Eléctricos de Potencia, Control de Sistemas Lineales
Abstract: Este artículo aborda una aplicación de control orientado a voltaje (VOC) para un rectificador PWM trifásico para lograr un control de flujo de potencia bidireccional. Se proporciona un análisis teórico para establecer los requisitos para operar el convertidor como un rectificador totalmente controlado o como un inversor de potencia conectado a la red. El funcionamiento del control y del convertidor se valida mediante emulación en tiempo real utilizando un sistema Hardware-in-The-Loop (Typhoon HIL 402) y el DSP TMS320f28335. Con base en los resultados, se discuten las ventajas y desventajas de emplear el control de VOC para convertidores bidireccionales.

Keywords: Sistemas Electrónicos de Potencia, Modelado e Identificación de Sistemas, Control de Sistemas No Lineales
Abstract: In this paper, Hamiltonian modeling methods for resonant converters, their advantages, properties and limitations are analyzed. The main contribution is to propose a non-extended order continuous Hamiltonian model that recovers the system signals and provides a practical scheme for model-based control. The advantages of the proposed modeling methodology is illustrated by studing the particular example given by current-fed resonant converter.

Keywords: Control de Sistemas Lineales, Otros Tópicos Afines, Robótica y Mecatrónica
Abstract: This paper proposes a solution to design an observer for singular linear systems in terms of linear matrix inequalities whose solvability is verified in polynomial time. The observer under design shares the idea of a Luenberger one but adding the derivative of the outputs, which leads to the regularization of the error system. The direct Lyapunov method is employed for designing both the proportional and derivative gains and thus guaranteeing the stability of the error system. Two examples illustrate the effectiveness of the proposal.

Keywords: Sistemas Biomédicos, Control Robusto, Detección y Aislamiento de Fallas
Abstract: This paper proposes an Interval estimator-based controller design for anesthesia delivery machines. The Interval Estimator design is based on the positive structural properties of the system obtained from the drug interaction kinematics and dynamics. The state of the estimator is then used to produce a control input, ensuring that despite some class of perturbations or uncertainties, the Bispectral Index (BIS) converges to a region close to the desired value. Moreover, the design does not require linearizing, filtering, or approximating the nonlinear BIS function to produce the regulating feedback. Additionally, a fault detection scheme is proposed to complement the overall design. Finally, some simulation results illustrate the feasibility of the proposed control approach.

Keywords: Robótica y Mecatrónica, Control de Sistemas Lineales, Tecnología para Control
Abstract: This paper presents the design of a control system whose objective is to stabilize a riderless bicycle. This is achieved from two torques applied to the angular positions of the vehicle. Also, the implementation of hardware in the loop is considered because only one of the states of the mathematical model is measured. The design of the control system addresses three important features: considering part of the real system (front frame or handlebars), a state observer and tacking into account these two parts, the solution of the roll angle variable Ø is addressed with the corresponding differential equation (or hardware in the loop).

Keywords: Modelado e Identificación de Sistemas, Otros Tópicos Afines
Abstract: By using a simplified model, the use of subspace identification methods in monitoring the soil-structure interaction effects is analyzed. For this, a building on a soft soil zone is considered a studied case. The building has been monitored from 1990 to date and has instrumentation that allows tracking the soil-structure frequency and the translation and rocking frequencies due to soil-structure interaction effects. Also, the frequency related to the proper dynamic of the building is estimated. The estimation process is by using a recursive subspace identification method and spectral analysis through seismic records. The results show consistency with similar frequency values but minimal variations using subspace estimation methods, with the advantage that it can be automated and incorporated into structural warning systems.

Keywords: Detección y Aislamiento de Fallas, Sistemas Electromecánicos
Abstract: A detection and identification method for high resistance connection faults and open phase fault in Brushless DC motors is presented. The method uses the current and speed residuals to detect the type of fault, the faulty phase and the severity of the fault in the case of high resistance connection. The residuals are made by comparing the measured signals and their estimates. These estimates are obtained with an observer which reconstructs the stator currents using only the rotor position signal. An observability analysis is included to show that it is possible to reconstruct the currents from the position measurement. Numerical simulations are presented to validate the proposed fault detection scheme.

Keywords: Control de Sistemas No Lineales, Control Robusto, Control Discontinuo (modos deslizantes)
Abstract: This article presents a fractional-order control strategy based on an uncertainty estimator applied to thermoelectric modules. It is known that thermoelectric modules are nonlinear systems characterized by a polynomial-type nonlinear control input. The proposed control law does not require the linearization of the nonlinear control input, this is achieved through the use of a fractional-order state observer that estimates certain components of the nonlinear system’s state, enabling the control law to counteract these elements and drive the system toward a desired state. To validate the theoretical results, experiments are conducted by implementing the control law on a platform comprising a buck-type DC/DC converter that powers a Peltier cell.

Keywords: Control de Sistemas Lineales, Control Robusto, Otros Tópicos Afines
Abstract: The design of control for systems with commensurate delays with single input is proposed. The key to the design is to find a similarity transformation such that, in the new coordinates, all delays are aligned in the same input channel. A necessary and sufficient condition is established for transforming the system into the desired controllable canonical form. Moreover, our analysis demonstrates that incorporation of a stable asymptotic observer in the state feedback does not impair stability of the system.

Keywords: Sistemas Multi-Agente, Robótica y Mecatrónica, Control de Sistemas No Lineales
Abstract: This paper proposes a solution to the consensus formation control problem for agents with nonholonomic constraints and network communications subject to time-varying delays. The proposed controller addresses the consensus paradigm using a bounded input design without requiring velocity measurements. Network communications between the agents occur over an undirected graph topology. In order to deal with the nonholonomic constraints we design the controller to be time-varying using a persistence of excitation term. A comparative simulation analysis, with an unbounded control scheme, is provided.

Keywords: Robótica y Mecatrónica, Control de Sistemas No Lineales, Sistemas Electromecánicos

Keywords: Control de Sistemas Lineales, Control de Procesos, Control Clásico
Abstract: The stabilization and control of continuous linear systems with delay are significant challenges, as well as the complexity of their analysis, which offers important research opportunities. This article presents a prediction-based scheme to control a first-order system with an unstable pole and any size of time delay. Moreover, the necessary and sufficient conditions are provided to ensure the stability of the closed-loop system with static output feedback. To implement the strategy, a scheme based on an observer-predictor is developed to mitigate the impact of the delay. This method involves partitioning the time delay into a serie of sub-predictors, where each one estimates the signal with its assigned portion of the delay. This approach ensures an accurate estimation of the complete desired signal, allowing the application of a classical controller using the signal before been delayed to stabilize the system. The main contribution of this work is to establish a minimum number of sub-predictors such that the closed-loop system can be stabilized regardless of the delay size. Finally, an example with simulation is presented to illustrate the obtained results.

Keywords: Control de Sistemas Lineales, Control de Procesos, Control Clásico
Abstract: The stability analysis of linear systems with time delay is difficult because the delay term appears in the characteristic equation when closing the loop inducing an infinite order system. In this work a strategy based on a multi-predictor for linear delayed systems with two unstable poles is proposed. This strategy allows to estimate the system signal before been delayed in order to use it in the control stage. The great advantage of the multi-predictor is that it can be used for this type of systems with any delay size. Also, the necessary and sufficient stability conditions for the multi-predictor scheme are obtained and the minimum number of sub-predictors necessary to have an adequate estimation of the signal is determined. Finally, to show the effectiveness of the proposed strategy, a simulation example is presented.

Keywords: Control de Sistemas Lineales, Control Óptimo, Sistemas Estocásticos
Abstract: We consider an optimal control problem for linear stochastic systems with multiple state delays. By formulating a general quadratic-linear cost functional, we provide an explicit solution involving coupled Riccati and partial differential equations. The derived optimal control law is in an affine feedback form with respect to the current state, the delayed state, and the integral of past state values. Additionally, we demonstrate the application of this solution to an optimal investment problem with logarithmic utility in market with interest rate influenced by a multi-delayed factor process.

Keywords: Procesos Biotecnológicos, Control Robusto, Control de Sistemas No Lineales
Abstract: The control of continuous bioreactors is essential for many bioprocesses. However, it is challenging to design and analyze controllers in a closed loop with a bioreactor due to the presence of uncertainties, external disturbances, and highly nonlinear and complex unknown dynamics. In this work, an active disturbance rejection controller is designed and analyzed for continuous bioreactors. For this task, the attractive ellipsoid approach is applied to analyze and tune the proposed controller based on an observer in a closed loop with the bioreactor's nonlinear dynamic. Finally, the proposed algorithm is tested in a second-order continuous bioreactor simulation.

Keywords: Control de Procesos, Procesos Biotecnológicos, Control de Sistemas No Lineales
Abstract: This work is proposed as a first simulation approach to controllers based on fast extremum seeking to maximize the biomass production of the microalgae Tetradesmus obliquus in various continuous operation scenarios. These controllers achieved an average performance of up to 96.7% (for stable input concentrations) and 105% (for variable concentrations) with respect to a priori optimized systems under a variety of operating conditions.

Keywords: Sistemas Biomédicos, Control de Procesos, Control de Sistemas Lineales
Abstract: Due to the anesthesia delivery-related consequences during general surgery, it is desirable to regulate hypnosis during the surgery through an anesthesia infusion closed-loop system. In this paper, a closed-loop scheme is based on the patient’s kinetic and dynamic drug model, where the Bispectral index is the available output. In order to generate the feedback and recover the necessary states, an interval observer is designed based on the system’s positivity and cooperativity properties. Then, a Model Predictive Control (MPC) is implemented to ensure the correct propofol delivery using the estimated states and output. Finally, the proposed interval observer and MPC performances are validated by simulations in three silico patients.

Keywords: Detección y Aislamiento de Fallas, Modelado e Identificación de Sistemas
Abstract: This work proposes a general methodology to deal with the problem of leak diagnosis in a multi-branched pipeline. To achieve this, the flow rate and pressure measurements at the ends of the pipeline are assumed to be known, as well as the flow rate leaving each pipeline branch with a known position. The key of the proposed methodology consists of estimating the known position of each branch of the pipeline and generating a residual from the discrepancy between the estimated and the real position, due to the presence of a leak. Due to the sensitivity of the residuals to variations of flow and pressure, the sign of this set of residuals indicates the section in which the leak is located, and, knowing this, it is possible to localize it precisely through a simple mathematical expression using only known values. In particular, we present the equations for the cases of pipelines with two and three branches.

Keywords: Detección y Aislamiento de Fallas, Sistemas Electromecánicos, Sistemas Eléctricos de Potencia
Abstract: This work presents a decision tree-based classifier to diagnose short circuit faults between the stator’s turns in a permanent magnet synchronous generator. The generator currents are processed with the discrete wavelet transform to obtain features to feed the binary classifier that performs the diagnosis. Experimental results are presented to show the performance of the proposed scheme.

Keywords: Control de Sistemas Lineales, Modelado e Identificación de Sistemas, Sistemas Discretos
Abstract: In this paper we design a reduced order interval observer for the unmeasured variables of a particular class of discrete-time linear system. By ensuring the cooperativity and convergence properties applied to the estimation error, the observer provides an upper and a lower estimate, despite the presence of unknown, bounded inputs and perturbations. The class of systems is composed of systems with 2n states and n linearly independent measurements. A numerical simulation shows applicability of the results.

Keywords: Detección y Aislamiento de Fallas, Cómputo para Control, Otros Tópicos Afines
Abstract: Una de las familias de algoritmos robustos para la detección de fallas en sistemas dinámicos está relacionado con el uso de modelos matemáticos. Esto ocasiona dificultades cuando no se tiene acceso al modelo matemático para el diseño. Este trabajo utiliza un esquema capaz de diagnosticar sistemas a partir de datos entrada salida-salida (diseñados en funcionamiento nominal y bajo el supuesto de que se cuenta con un comportamiento en esencia lineal). Un aspecto relevante al diagnóstico, es justamente la sensibilidad respecto a las fallas a ser detectadas. Esta sensibilidad juega un papel fundamental para sistemas críticos, en donde se desea el diagnostico de una falla de manera temprana. Este trabajo ofrece un enfoque capaz de ajustar la sensibilidad de diagnóstico de los algoritmos generadores de residuos respecto a las fallas. La idea es obtener residuos que se activen una vez que cierto valor predeterminado de umbral es superado debido al efecto de fallas. Basados en un ejemplo de aplicación se muestra como se logra un generador de residuos 20 veces más sensibles que los reportados por la literatura.

Keywords: Modelado e Identificación de Sistemas, Sistemas de Parámetros Distribuidos, Sistemas Biomédicos
Abstract: This work presents a new estimation scheme for photoacoustic signals and the absorption profiles associated with these signals, based on a discrete linear time-invariant state-space model of the Stokes’ equation, which describes the propagation of ultrasound waves in acoustic attenuating media. Parameter estimation is performed using the N4SID method for subspace identification, taking advantage of discrete model properties. In addition, the gradient descent and regularization method is used to improve parameter estimation. The simulation results validate the scope of the proposed scheme.

Keywords: Modelado e Identificación de Sistemas, Educación en Control, Tecnología para Control
Abstract: This paper describes the creation of an educational resource focused on identifying dynamic systems, with a particular emphasis on parametric estimation, for undergraduate courses. This virtual laboratory is easily reproducible with accessible materials and software, allowing easy system modification. The Recursive Least-Squares (RLS) with a forgetting factor is a solid and efficient method that enables students to experiment with parameters and better understand the subject matter. We show three experiments to provide an exhaustive RLS comprehension. Finally, we envision the virtual laboratory as useful for educational purposes and other applications in automatic control.

Keywords: Modelado e Identificación de Sistemas, Procesos Biotecnológicos
Abstract: The estimation of the states of a Saccharomyces cerevisiae (S. cerevisiae) biomass production process using glucose as carbon and energy source in CSTR-type bioreactor cultures was investigated. The biomass estimation was evaluated numerically by implementing the observer in the bioreactor model at a continuous regime. The observer was designed with two terms, one error proportional (Ke) and one sign type (Ksign(e)f(e)). The performance of the proposed observer was compared with the observer published by Bastin and Dochain. For different dilution rates, both observers showed equal performance for the same numerical conditions. Moreover, their response was evaluated for different initial conditions of the model and the estimators with a better performance index of the proposed observer.

Keywords: Modelado e Identificación de Sistemas, Control Discontinuo (modos deslizantes), Control de Sistemas Lineales
Abstract: In this paper we compare two different methodologies for computing the gradient of a linear, continuous-time dynamical system with no parametric uncertainties nor unknown inputs. Such a gradient is computed by performing the partial derivative of a cost function w.r.t. the input of the system. The first of the methodologies uses the model of the dynamical system to construct the gradient; whereas the second one avails of the differentiation of the cost function and the system’s input. We compare both approaches via a numerical simulation.

Keywords: Modelado e Identificación de Sistemas, Sistemas Adaptables, Control Robusto
Abstract: In this paper, a parameter identification algorithm is proposed for linear regression systems with constant unknown parameters. Such an algorithm is composed of an accelerated version of the heavy--ball method and a modified extension of Kreisselmeier's filters and can identify constant parameters in a finite time under a persistent excitation condition. The workability of the proposed algorithm is depicted by simulation results.

Keywords: Modelado e Identificación de Sistemas, Control de Sistemas No Lineales, Procesos Biotecnológicos
Abstract: In this article, we explore an analytical approach to generate Takagi-Sugeno (TS) type models from ’experimental’ data using the Sparse Identification of Nonlinear Dynamics (SINDy) technique. Our method combines the approximation of reduced nonlinear models with the linearization of the same model at specific operating points, allowing us to capture the dynamics of complex systems under variable conditions for each point of interest. We then present a detailed implementation of this approach, highlighting its application in a real-world scenario of modeling a biotechnological process.

Keywords: Modelado e Identificación de Sistemas, Control de Procesos, Control de Sistemas de Gran Escala
Abstract: As a fundamental step for open and closed-loop design and operation, the problem of designing the initial temperature profile for the startup operation of a spatially distributed throated gasifier (described by 10 to 20 nonlinear ordinary and partial differential equations) so that the high energetic yield steady-state is robustly reached is addressed. The problem is solved with efficient partial-to-ordinary differential equation discretization and approximation of the initial torch-induced temperature profile with a rectangular one with: (i) the same sensible heat content (area) as the torch one, and (ii) the pulse start-end-height triplet as design degree of freedom. A sampled search yields the start-end-height triplet that describes the experimental data and explains the manufacturer's specifications and operation guide, systematizing (with scalability) the startup operation.

Keywords: Modelado e Identificación de Sistemas, Sistemas Hombre-Máquina, Educación en Control
Abstract: In this article, the development of a mathematical model expressed in a system of nonlinear ordinary differential equations that describes the dynamics of an experimental platform for heat transfer processes is presented. To validate how closely the model's dynamics approximate reality, 10 experiments were conducted under different scenarios where both the mathematical model and the real platform received the same stimulus. Using the values acquired by the industrial controller as a reference and comparing them with the simulated values, validation was performed using the CV (RMSE) error as a metric. It was established that, for the simulation of each temperature to be acceptable, this error should not exceed the 20% limit in the experiments conducted. Based on the validation metric values obtained, it was concluded that the mathematical model developed in this work adequately represents the real process and allows simulation of the system's two most relevant states. Therefore, the model can be used to evaluate control strategies on the platform and understand physical behaviors in heat transfer processes.