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Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time

Author

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  • Li, Jiajia
  • Tian, Xin
  • Wei, Guoliang

Abstract

In this paper, the asynchronous partially mode-dependent control problem is investigated for switched larger-scale systems (SLSSs) with inherent nonlinearities, known sojourn probabilities and bounded sojourn time. The interconnection among subsystems is nonlinear and subject to stochastic switching. The resultant part available mode information is that the modes of controllers and the plant are asynchronous. By introducing a mode storage rule and transforming the asynchronous system into a general switched system, the stability criteria is obtain with available modes, the sum of these modes’ sojourn probabilities and the bounds of sojourn time. Then, some sufficient conditions are derived to guarantee the mean-square stability (MSS) by employing Young inequality and the desired asynchronous controller is designed by using available softwares. At last, an example is provided to illustrate the main methods in this paper.

Suggested Citation

  • Li, Jiajia & Tian, Xin & Wei, Guoliang, 2022. "Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321008912
    DOI: 10.1016/j.amc.2021.126809
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    References listed on IDEAS

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    1. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous dissipative control design for semi-Markovian jump systems with uncertain probability distribution functions of sojourn-time," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    2. Yang, Chengyu & Li, Fei & Kong, Qingkai & Chen, Xiangyong & Wang, Jian, 2021. "Asynchronous fault-tolerant control for stochastic jumping singularly perturbed systems: An H∞ sliding mode control scheme," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    3. Schweiger, G. & Nilsson, H. & Schoeggl, J. & Birk, W. & Posch, A., 2020. "Modeling and simulation of large-scale systems: A systematic comparison of modeling paradigms," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    4. Zhou, Yaoyao & Chen, Gang, 2021. "Non-fragile H∞ finite-time sliding mode control for stochastic Markovian jump systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 409(C).
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