Romano, Marcello (Naval Postgraduate School), Curti, Fabio (Sapienza University of Rome)

Minimum-Time Control of Linear Systems between Arbitrary States

Scheduled for presentation during the Regular Session "Control design methods" (FrM11), Friday, April 5, 2019, 09:30−10:00, Carassa-Dadda

5th CEAS Conference on Guidance, Navigation and Control, April 3-5, 2019, Milano, Italy

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

A solution method is here presented for the problem of minimum-time control of a general linear time-invariant normal system evolving from an arbitrary initial state to an arbitrary desired final state subjected to a cubic-constrained control. In particular it is demonstrated that the above problem can be solved by exploiting the solution of an associated minimum-time control problem from an initial state related to the boundary states of the original problem to the state-space origin. Furthermore, new analytical solutions are illustrated for this optimal control problem in the important case of a double integrator system. In particular, the final time and the open loop control sequences are given explicitly as a function of the boundary states and a feedback optimal control synthesis is given. Notably, exact minimum-time control solution is currently known only for the case of minimum-time control of a double integrator from an arbitrary state to the state-space origin.