Hybrid State Feedback, Robust H ∞  Control for a Class Switched Systems with Nonlinear Uncertainty

  • Liangui WangEmail author
  • Xiangjin Xu
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 129)


The problem of robust H  ∞  control for a class of uncertain nonlinear switched systems is addressed through hybrid state feedback control strategy, based on multiple Lyapunov function techniquefor all admissible uncertainties. The state feedback control for each each subsystem and switching Laws to guarantee both asymptotically stability of the resulting closed-loop systems and prescribed L 2 gain from disturbance input to controller output are designed. The necessary and sufficient conditions of robust H  ∞  control for the problem to be solvable is also derived in terms of partial differential inequalities are given. An illustrate example is given to show the effectiveness of the method.


Lyapunov Function State Feedback State Feedback Control Controller Output Disturbance Input 
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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Automatic EngineeringZhonshan College, Uest of ChinaZhongshanP.R. China
  2. 2.Department of Mathematical SciencesBinghamton University-SunyBinghamtonU.S.A.

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