Average Dwell-Time Method to L2-Gain Analysis and Control Synthesis for Uncertain Switched Nonlinear Systems
Date
2008
Authors
Wang, Min
Dimirovski, Georgi
Zhao, Jun
Journal Title
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Volume Title
Publisher
International Federation of Automatic Control (IFAC)
Abstract
This paper addresses the L2-gain analysis and control synthesis problem for a class of switched nonlinear systems affected by both time-varying uncertainties and external disturbances. Firstly, the L2-gain for the autonomous switched disturbed uncertain system is analyzed. Then, a switched state feedback control law is designed and the L2 -gain is analyzed for the disturbed uncertain non-autonomous switched system. Sufficient conditions for these two cases are obtained using average dwell-time method incorporated with piecewise Lyapunov functions. The corresponding closed-loop disturbed uncertain switched system and the disturbed uncertain autonomous switched system are globally exponentially stable with a weighted L 2-gain under the sufficient conditions. Both the piecewise Lyapunov functions and the average dwell-time based switching laws are constructed based on the structural characteristics of the uncertain switched system.
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Keywords
Keywords: Average-dwell time; Paper addresses
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Source
Proceedings of the American Control Conference 2008
Type
Conference paper
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2037-12-31