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

Authors:
Jun Zhao;David J. Hill
Affiliations:
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education of China, Northeastern University, Shenyang, 110004, PR China and Department of Information Engineering, Research ...;Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

This paper addresses the issues of stability, L"2-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 L"2-gain characterization and a design method for stabilizing switching laws. A solution to the H"~ control problem for switched systems is also provided.