Average dwell-time method to L2-gain analysis and control synthesis for uncertain switched nonlinear systems
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CitationWang, M., Dimirovski, G. M., & Zhao, J. (2008). Average dwell-time method to L2-gain analysis and control synthesis for uncertain switched nonlinear systems. In 2008 American Control Conference (pp. 5074-5079). Piscataway, NJ: IEEE. http://dx.doi.org/10.1109/ACC.2008.4587298
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 L2-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.
Source2008 American Control Conference
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