On stability, -gain and control for switched systems |
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Authors: | Jun David J |
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Affiliation: | aKey Laboratory of Integrated Automation of Process Industry, Ministry of Education of China, Northeastern University, Shenyang, 110004, PR China;bDepartment of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia |
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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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Keywords: | Switched systems Stability Multiple Lyapunov functions L2-gain H∞ control |
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