Robust D-stability and H∞ control of uncertain discrete switched systems

Xu Dong Zhao; Ming Xiang Ling; Qing Shuang Zeng

Robust D-stability and H_∞ control of uncertain discrete switched systems

Xu Dong Zhao^*
, Ming Xiang Ling
, Qing Shuang Zeng

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The robust D-stability and H_∞ control of uncertain discrete switched systems are studied in this paper. Based on multiple Lyapunov functions theory, a sufficient condition in form of multiple convex constraints of LMI is derived from robust D-stability and H_∞ performance under arbitrary switching. Furthermore, a state-feedback controller is designed to make the closed uncertain system have robust D-stability and H_∞ performance. A simulation example illustrates the feasibility and effectiveness of the designed controller.

Original language	English
Pages (from-to)	38-43
Number of pages	6
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	41
Issue number	1
State	Published - Jan 2009

Keywords

H performance
Multiple Lyapunov functions
Robust D-stability
Switched systems

Cite this

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abstract = "The robust D-stability and H∞ control of uncertain discrete switched systems are studied in this paper. Based on multiple Lyapunov functions theory, a sufficient condition in form of multiple convex constraints of LMI is derived from robust D-stability and H∞ performance under arbitrary switching. Furthermore, a state-feedback controller is designed to make the closed uncertain system have robust D-stability and H∞ performance. A simulation example illustrates the feasibility and effectiveness of the designed controller.",

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N2 - The robust D-stability and H∞ control of uncertain discrete switched systems are studied in this paper. Based on multiple Lyapunov functions theory, a sufficient condition in form of multiple convex constraints of LMI is derived from robust D-stability and H∞ performance under arbitrary switching. Furthermore, a state-feedback controller is designed to make the closed uncertain system have robust D-stability and H∞ performance. A simulation example illustrates the feasibility and effectiveness of the designed controller.

AB - The robust D-stability and H∞ control of uncertain discrete switched systems are studied in this paper. Based on multiple Lyapunov functions theory, a sufficient condition in form of multiple convex constraints of LMI is derived from robust D-stability and H∞ performance under arbitrary switching. Furthermore, a state-feedback controller is designed to make the closed uncertain system have robust D-stability and H∞ performance. A simulation example illustrates the feasibility and effectiveness of the designed controller.

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KW - Multiple Lyapunov functions

KW - Robust D-stability

KW - Switched systems

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JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 1

ER -

Robust D-stability and H_∞ control of uncertain discrete switched systems

Abstract

Keywords

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