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Paper TuAT4.2

SINGH, PIYUSH PRATAP (NATIONAL INSTITUTE OF TECHNOLOGY SILCHAR), SINGH, JAY PRAKASH (NATIONAL INSTITUTE OF TECHNOLOGY SILCHAR), Roy, Binoy Krishna (National Institute of Technology Silchar)

Nonlinear Observer Based Synchronization of Lorenz-Stenflo Chaotic Systems: A Linear Matrix Inequality Approach

Scheduled for presentation during the Regular Session "Computational Methods and Algorithms" (TuAT4), Tuesday, January 6, 2015, 10:50−11:10, CCE Conference Hall

2015 Indian Control Conference, January 5-7, 2015, Indian Institute of Technology Madras, Chennai, India

This information is tentative and subject to change. Compiled on January 24, 2021

Keywords Chaotic systems, Observers for nonlinear systems, Stability of nonlinear systems

Abstract

In this paper observer based synchronization of Lorenz-Stenflo (LS) chaotic system is proposed. Lyapunov stability theory is used to ensure the stability. The required Lyapunov stability condition which results in terms of nonlinear matrix inequality. To develop observer, these inequalities are further reformulated into Linear Matrix Inequality (LMI). Observer gain is calculated ensuring satisfactory convergence of error dynamics between the actual and estimated LS system. MATLAB simulation results show the effectiveness and desired achievements of the proposed scheme.

 

 

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