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

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

814 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
Externally published	Yes

Keywords

H control
L-gain
Multiple Lyapunov functions
Stability
Switched systems

Access to Document

10.1016/j.automatica.2007.10.011

Cite this

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KW - Stability

KW - Switched systems

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