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Model reference tracking control for spatially interconnected discrete-time systems with interconnected chains

Author

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  • Feng, Hongyan
  • Xu, Huiling
  • Xu, Shengyuan
  • Chen, Weimin

Abstract

This study is concerned with the model reference tracking control problem for spatially interconnected systems (SISs) with interconnected chains in discrete-time case. The aim of this paper is to design a state-feedback controller such that the state of the controlled system tracks precisely a given stable reference signal or the output of the controlled system tracks the output of a given reference model well. First, two sufficient conditions are given to guarantee that the closed-loop system is asymptotically stable and the corresponding tracking performance requirement is satisfied, respectively. Next, the existence of the desired state-feedback controllers are obtained by the proposed methods based on linear matrix inequalities. Finally, a first-order partial differential equation simulation example is provided to illustrate the effectiveness of the derived methods.

Suggested Citation

  • Feng, Hongyan & Xu, Huiling & Xu, Shengyuan & Chen, Weimin, 2019. "Model reference tracking control for spatially interconnected discrete-time systems with interconnected chains," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 50-62.
    • Handle: RePEc:eee:apmaco:v:340:y:2019:i:c:p:50-62
    DOI: 10.1016/j.amc.2018.08.028
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    References listed on IDEAS

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    1. Zhang, Yanhui & Liang, Hongjing & Ma, Hui & Zhou, Qi & Yu, Zhandong, 2018. "Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 16-32.
    2. Chen, Guoliang & Xia, Jianwei & Zhuang, Guangming & Zhao, Junsheng, 2018. "Improved delay-dependent stabilization for a class of networked control systems with nonlinear perturbations and two delay components," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 1-17.
    3. Liu, Guobao & Xu, Shengyuan & Wei, Yunliang & Qi, Zhidong & Zhang, Zhengqiang, 2018. "New insight into reachable set estimation for uncertain singular time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 769-780.
    4. Ali, Tariq, 2016. "Optimal PID controller design through swarm intelligence algorithms for sun tracking systemAuthor-Name: Sabir, Mirza Muhammad," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 690-699.
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    Cited by:

    1. Longhui Zhou & Hongfeng Tao & Wojciech Paszke & Vladimir Stojanovic & Huizhong Yang, 2020. "PD-Type Iterative Learning Control for Uncertain Spatially Interconnected Systems," Mathematics, MDPI, vol. 8(9), pages 1-18, September.

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