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Mixed H∞ and passive control for singular systems with time delay via static output feedback

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  • Chen, Jian
  • Lin, Chong
  • Chen, Bing
  • Wang, Qing-Guo

Abstract

In this paper, the mixed H∞ and passive control problem is studied for singular systems with time delay. A sufficient condition is proposed to ensure the considered system to be regular, impulse-free and stable with mixed H∞ and passivity performance level. Then the criterion is adopted to design a static output feedback controller in terms of bilinear and linear matrix inequalities. An algorithm is established to cast the nonlinear feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods.

Suggested Citation

  • Chen, Jian & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2017. "Mixed H∞ and passive control for singular systems with time delay via static output feedback," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 244-253.
    • Handle: RePEc:eee:apmaco:v:293:y:2017:i:c:p:244-253
    DOI: 10.1016/j.amc.2016.08.029
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    References listed on IDEAS

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    1. Ma, Yuechao & Fu, Lei & Jing, Yanhui & Zhang, Qingling, 2015. "Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 264-283.
    2. Shen, Mouquan & Yan, Shen & Zhang, Guangming & Park, Ju H., 2016. "Finite-time H∞ static output control of Markov jump systems with an auxiliary approach," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 553-561.
    3. Feng, Zhiguang & Li, Wenxing & Lam, James, 2015. "New admissibility analysis for discrete singular systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1058-1066.
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