Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2012; 10(4): 855-860

Published online August 14, 2012

https://doi.org/10.1007/s12555-012-0424-3

© The International Journal of Control, Automation, and Systems

Finite-time Control for Discrete-Time Switched Systems with Time Delay

Lin-Lin Hou, Guang-Deng Zong*, and Yu-Qiang Wu

Qufu Normal University, China

Abstract

The problem of finite-time state feedback control is considered in this paper for a class of discrete-time switched systems with time delay. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to discrete-time switched systems with time delay, respectively. Then, by re-sorting to the average dwell time approach and Lyapunov-Krasovskii functional technology, some new delay-dependent criteria guaranteeing finite-time boundedness and stability are developed. The state feedback controller is also obtained by virtue of a cone complement linearization (CCL) method. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.

Keywords Cone complement linearization (CCL) method, discrete-time switched systems, finite-time boundedness, finite-time stability, time delay.

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2012; 10(4): 855-860

Published online August 1, 2012 https://doi.org/10.1007/s12555-012-0424-3

Copyright © The International Journal of Control, Automation, and Systems.

Finite-time Control for Discrete-Time Switched Systems with Time Delay

Lin-Lin Hou, Guang-Deng Zong*, and Yu-Qiang Wu

Qufu Normal University, China

Abstract

The problem of finite-time state feedback control is considered in this paper for a class of discrete-time switched systems with time delay. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to discrete-time switched systems with time delay, respectively. Then, by re-sorting to the average dwell time approach and Lyapunov-Krasovskii functional technology, some new delay-dependent criteria guaranteeing finite-time boundedness and stability are developed. The state feedback controller is also obtained by virtue of a cone complement linearization (CCL) method. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.

Keywords: Cone complement linearization (CCL) method, discrete-time switched systems, finite-time boundedness, finite-time stability, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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