Dissipativity Based Stability of Switched Systems with State-dependent Switchings
Date
2007
Authors
Zhao, Jun
Hill, David
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Publisher
Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
Stability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the "switched on" time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total change of some storage function on its inactive intervals. A necessary and sufficient condition for all subsystems to be dissipative on their active regions is given and a state-dependent switching law is designed. As a particular case, localized Kalman-Yakubovich-Popov conditions are derived for passivity. A condition for piecewise dissipativity property and a design method of switching laws are also proposed.
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Keywords
Keywords: Asymptotic stability; Energy dissipation; Problem solving; Switching; System stability; Dissipativity property; Kalman-Yakubovich-Popov conditions; State-dependent switchings; Storage functions; Switching systems
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Proceedings of the 46th IEEE Conference on Decision and Control 2007
Type
Conference paper
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2037-12-31
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