Guaranteed cost control of discrete-time switched saturated systems

Haijun Sun; Xinquan Zhang

doi:10.3934/dcdsb.2020300

Article Contents

2021, Volume 26, Issue 8: 4515-4522. Doi: 10.3934/dcdsb.2020300

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Guaranteed cost control of discrete-time switched saturated systems

Haijun Sun and
Xinquan Zhang

School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, China

^* Corresponding author: Xinquan Zhang
^* Corresponding author: Xinquan Zhang

Received: July 31, 2019

Revised: May 31, 2020

Early access: October 2020

Published: August 2021

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Abstract

The problem of guaranteed cost control is investigated for a class of discrete-time saturated switched systems. The purpose is to design the switched law and state feedback control law such that the closed-loop system is asymptotically stable and the upper-bound of the cost function is minimized. Based on the multiple Lyapunov functions approach, some sufficient conditions for the existence of guaranteed cost controllers are obtained. Furthermore, a convex optimization problem with linear matrix inequalities (LMI) constraints is formulated to determine the minimum upper-bound of the cost function. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

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Mathematics Subject Classification: Primary: 93C10, 93C55; Secondary: 93D15.

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