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Robust H-infinity control for a class of neutral-type systems via sliding mode observer

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  • Liu, Zhen
  • Gao, Cunchen
  • Kao, Yonggui

Abstract

In this paper, the problem of observer-based H-infinity integral sliding mode control (ISMC) is investigated for a class of uncertain neutral-type systems with time delay (NTSTD). An ISMC strategy is put forward based on the sliding mode observer. A new sufficient condition of robust asymptotic stability for the overall systems composed of the error system and sliding mode dynamics with disturbance attenuation level is derived via linear matrix inequality (LMI). Then, a SMC law is designed such that the reachability of the sliding surface defined in the state-estimate space can be guaranteed. Finally, a simulation example is presented to demonstrate the feasibility of the obtained result.

Suggested Citation

  • Liu, Zhen & Gao, Cunchen & Kao, Yonggui, 2015. "Robust H-infinity control for a class of neutral-type systems via sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 669-681.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:669-681
    DOI: 10.1016/j.amc.2015.09.007
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    References listed on IDEAS

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    1. Xie, Jing & Kao, Yonggui & Wang, Changhong & Gao, Cunchen, 2015. "Delay-dependent robust stability of uncertain neutral-type Itoˆ stochastic systems with Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 576-585.
    2. Zhang, Xuxi & Liu, Xianping & Zhu, Qidan, 2014. "Adaptive chatter free sliding mode control for a class of uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 431-435.
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    Cited by:

    1. Chan, Joseph Chang Lun & Tan, Chee Pin & Trinh, Hieu & Kamal, Md Abdus Samad & Chiew, Yeong Shiong, 2019. "Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 78-92.
    2. Jiang, Baoping & Gao, Cunchen & Kao, Yonggui & Liu, Zhen, 2016. "Sliding mode control of Markovian jump systems with incomplete information on time-varying delays and transition rates," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 66-79.
    3. Bo Wang & L. L. Chen, 2019. "New Results on the Control for a Kind of Uncertain Chaotic Systems Based on Fuzzy Logic," Complexity, Hindawi, vol. 2019, pages 1-8, March.
    4. Sakthivel, R. & Joby, Maya & Wang, Chao & Kaviarasan, B., 2018. "Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 425-436.

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