多状态时滞线性离散切换系统的二次稳定保成本控制

doi:10.3969/j.issn.0255-8297.2011.01.017

Journal of Applied Sciences ›› 2011, Vol. 29 ›› Issue (1): 97-104.doi: 10.3969/j.issn.0255-8297.2011.01.017

• Control and System • Previous Articles Next Articles

Quadratic Stability Guaranteed Cost Control for Linear Discrete-Time Switched Systems with Multiple State Time-Delays

SUN Wen-an1, YANG Yin1, PEI Bing-nan1, ZHANG Qiang2

1. College of Information Engineering, Dalian University, Dalian 116622, Liaoning Province, China
2. Key Laboratory of Advanced Design and Intelligent Computing , Ministry of Education,Dalian University, Dalian 116622, Liaoning Province, China

Received:2010-10-11 Revised:2010-12-05 Online:2011-01-26 Published:2011-01-25

Abstract

Abstract:

This paper addresses quadratic stability guaranteed cost control for a class of linear discrete-time switched systems with uncertain multiple time-delays in state and input based on LMI theory. By using multiple Lyapunov functions and constructing linear matrix inequalities, several sufficient conditions for the problem under study is derived with a state-based switching law. Controllers of the subsystems are designed and the switching law obtained simultaneously. A numerical example shows effectiveness of the method.

Key words: switched systems, time-delays, stability, feedback, matrix inequality

CLC Number:

TP13

SUN Wen-an1, YANG Yin1, PEI Bing-nan1, ZHANG Qiang2. Quadratic Stability Guaranteed Cost Control for Linear Discrete-Time Switched Systems with Multiple State Time-Delays [J]. Journal of Applied Sciences, 2011, 29(1): 97-104.

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URL: https://www.jas.shu.edu.cn/EN/10.3969/j.issn.0255-8297.2011.01.017

https://www.jas.shu.edu.cn/EN/Y2011/V29/I1/97

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Quadratic Stability Guaranteed Cost Control for Linear Discrete-Time Switched Systems with Multiple State Time-Delays

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