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

Part of the Lecture Notes in Electrical Engineering book series (LNEE,volume 129)

Abstract

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.

Keywords

  • Lyapunov Function
  • State Feedback
  • State Feedback Control
  • Controller Output
  • Disturbance Input

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Correspondence to Liangui Wang .

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Wang, L., Xu, X. (2012). Hybrid State Feedback, Robust H  ∞  Control for a Class Switched Systems with Nonlinear Uncertainty. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25778-0_29

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  • DOI: https://doi.org/10.1007/978-3-642-25778-0_29

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