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Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal

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  • Sun, Qingdong
  • Ren, Junchao
  • Zhao, Feng

Abstract

This paper studies the problem of output feedback sliding mode control for uncertain discrete-time interval type-2 (IT2) fuzzy Markov jump systems (MJSs) with the preview target signal. An augmented error system (AES) including the known preview target signal is derived based on the backward difference method. A sliding mode output controller is designed for the AES, which integrates the known future information. The designed controller guarantees the discrete-time reach condition and maintains the states in a neighborhood region of the predesigned sliding surface. The stability criteria of the sliding motion on a linear sliding surface are given for the considered systems. Finally, two practical examples show that the output of the original system can track the target signal better under the designed preview controller.

Suggested Citation

  • Sun, Qingdong & Ren, Junchao & Zhao, Feng, 2022. "Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    • Handle: RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322005537
    DOI: 10.1016/j.amc.2022.127479
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    References listed on IDEAS

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    1. Xiao Yu & Fucheng Liao & Jiamei Deng, 2018. "Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, September.
    2. Li, Min & Shu, Feng & Liu, Duyu & Zhong, Shouming, 2018. "Robust H∞ control of T-S fuzzy systems with input time-varying delays: A delay partitioning method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 209-222.
    3. Li, Rongchang & Zhang, Qingling, 2018. "Robust H∞ sliding mode observer design for a class of Takagi–Sugeno fuzzy descriptor systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 158-178.
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