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Robust finite-time PID control for discrete-time large-scale interconnected uncertain system with discrete-delay

Author

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  • Tharanidharan, V.
  • Sakthivel, R.
  • Ren, Yong
  • Marshal Anthoni, S.

Abstract

In this paper, we investigate the decentralized proportional–integral–derivative (PID) output-feedback control problem for a class of discrete-time uncertain large-scale systems with delayed interconnections. The robust finite time stabilization of the addressed uncertain large-scale system is attained via the feedback control with the prescribed extended passive performance index. Specifically, by using an appropriate Lyapunov–Krasovskii functional, a new set of sufficient conditions is derived on the basis of linear matrix inequality which ensures the finite-time boundedness of the augmented closed-loop uncertain large-scale systems. Furthermore, cone complementarity linearization (CCL) algorithm is developed to obtain the control gain parameters. Finally, a numerical example is provided to illustrate the effectiveness of proposed control design.

Suggested Citation

  • Tharanidharan, V. & Sakthivel, R. & Ren, Yong & Marshal Anthoni, S., 2022. "Robust finite-time PID control for discrete-time large-scale interconnected uncertain system with discrete-delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 370-383.
    • Handle: RePEc:eee:matcom:v:192:y:2022:i:c:p:370-383
    DOI: 10.1016/j.matcom.2021.08.024
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    References listed on IDEAS

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    1. Jinrong Liu & James Lam & Mouquan Shen & Zhan Shu, 2017. "Non-fragile multivariable PID controller design via system augmentation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2168-2181, July.
    2. Dassios, Ioannis K. & Szajowski, Krzysztof J., 2016. "Bayesian optimal control for a non-autonomous stochastic discrete time system," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 556-564.
    3. Hao Liu & Peng Shi & Hamid Reza Karimi & Mohammed Chadli, 2016. "Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1433-1444, April.
    4. Wenping Xue & Kangji Li & Guohai Liu, 2016. "DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3027-3035, September.
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    Cited by:

    1. Qingbo Li & Xiaoyue Zhou & Fengyu Lin & Yahao Yang & Junfeng Zhang, 2024. "Novel Proportional–Integral–Derivative Control Framework on Continuous-Time Positive Systems Using Linear Programming," Mathematics, MDPI, vol. 12(4), pages 1-15, February.

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