On stability, L2-gain and H∞ control for switched systems

Jun Zhao; David J. Hill

doi:10.1016/j.automatica.2007.10.011

On stability, L₂-gain and H_∞ control for switched systems

Jun Zhao^*
, David J. Hill

^*Corresponding author for this work

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

858 Citations (Scopus)

Abstract

This paper addresses the issues of stability, L₂-gain analysis and H_∞ control for switched systems via multiple Lyapunov function methods. A concept of general Lyapunov-like functions is presented. A necessary and sufficient condition for stability of switched systems is given in terms of multiple generalized Lyapunov-like functions, which enables derivation of improved stability tests, an L₂-gain characterization and a design method for stabilizing switching laws. A solution to the H_∞ control problem for switched systems is also provided.

Original language	English
Pages (from-to)	1220-1232
Number of pages	13
Journal	Automatica
Volume	44
Issue number	5
DOIs	https://doi.org/10.1016/j.automatica.2007.10.011
Publication status	Published - May 2008

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abstract = "This paper addresses the issues of stability, L2-gain analysis and H∞ control for switched systems via multiple Lyapunov function methods. A concept of general Lyapunov-like functions is presented. A necessary and sufficient condition for stability of switched systems is given in terms of multiple generalized Lyapunov-like functions, which enables derivation of improved stability tests, an L2-gain characterization and a design method for stabilizing switching laws. A solution to the H∞ control problem for switched systems is also provided.",

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AB - This paper addresses the issues of stability, L2-gain analysis and H∞ control for switched systems via multiple Lyapunov function methods. A concept of general Lyapunov-like functions is presented. A necessary and sufficient condition for stability of switched systems is given in terms of multiple generalized Lyapunov-like functions, which enables derivation of improved stability tests, an L2-gain characterization and a design method for stabilizing switching laws. A solution to the H∞ control problem for switched systems is also provided.

KW - H control

KW - L-gain

KW - Multiple Lyapunov functions

KW - Stability

KW - Switched systems

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DO - 10.1016/j.automatica.2007.10.011

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VL - 44

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EP - 1232

JO - Automatica

JF - Automatica

IS - 5

ER -

On stability, L₂-gain and H_∞ control for switched systems

Abstract

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