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Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearities

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  • Yau, Her-Terng
  • Yan, Jun-Juh

Abstract

The paper is concerned with the problem of robust stabilization for uncertain large-scale time-varying delayed systems with input nonlinearities. Based on the sliding mode control, a memoryless decentralized adaptive sliding mode controller (DASMC) is developed. The proposed controller ensures the occurrence of the sliding manifold of the composite system even subjected to input nonlinearity. It shows that the uncertain nonlinear large-scale system also possesses the property of insensitivity to uncertainties and disturbances as a linear system does. A numerical example is given to verify the validity of the developed memoryless DASMC.

Suggested Citation

  • Yau, Her-Terng & Yan, Jun-Juh, 2009. "Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1515-1521.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1515-1521
    DOI: 10.1016/j.chaos.2007.06.035
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    References listed on IDEAS

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    1. Kwon, O.M. & Park, Ju H., 2006. "Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 800-812.
    2. Liu, Xingwen & Zhang, Hongbin & Zhang, Fengli, 2005. "Delay-dependent stability of uncertain fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 147-158.
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    Cited by:

    1. Xue, Yanmei & Zheng, Bo-Chao & Li, Tao & Li, Yuanlu, 2017. "Robust adaptive state feedback sliding-mode control of memristor-based Chua’s systems with input nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 142-153.
    2. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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