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A New Robust Nonfragile Controller Design Scheme for a Class of Hybrid Systems through Piecewise Affine Models

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  • Yunsai Chen
  • Yongjie Pang
  • Zhao Yang
  • Liang Ma

Abstract

This paper investigates the robust nonfragile control problem for a class of discrete-time hybrid systems based on piecewise affine models. The objective is to develop an admissible piecewise affine nonfragile controller such that the resulting closed-loop system is asymptotically stable with robust performance . By employing a state-control augmentation methodology, some new sufficient conditions for the controller synthesis are formulated based on piecewise Lyapunov functions (PLFs). The controller gains can be obtained via solving a set of linear matrix inequalities. Simulation examples are finally presented to demonstrate the feasibility and effectiveness of the proposed approaches.

Suggested Citation

  • Yunsai Chen & Yongjie Pang & Zhao Yang & Liang Ma, 2018. "A New Robust Nonfragile Controller Design Scheme for a Class of Hybrid Systems through Piecewise Affine Models," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:1875610
    DOI: 10.1155/2018/1875610
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