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Controller Design for Asynchronous Hybrid Systems with Multiple Delays

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  • Xiaoqiang Sun
  • Weijie Mao

Abstract

Solutions for the synthesis problems of asynchronous hybrid systems with input-output delays are proposed. The continuous-time lifting approach of sampled-data systems is extended to a hybrid system with multiple delays, and some feasible formulas to calculate the operators of the equivalent discrete-time (DT) system are given. Different from the existing methods derived from symplectic pair theory or by state augmentation, a Lyapunov-Krasovskii functional to solve the synthesis problem is explicitly constructed. The delay-dependent stability conditions we obtained can be described in terms of nonstrict linear matrix inequalities (LMIs), which are much more convenient to be solved by LMI tools.

Suggested Citation

  • Xiaoqiang Sun & Weijie Mao, 2016. "Controller Design for Asynchronous Hybrid Systems with Multiple Delays," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-11, August.
    • Handle: RePEc:hin:jnlmpe:2416193
    DOI: 10.1155/2016/2416193
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