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Decentralized model-reference adaptive control for a class of uncertain large-scale time-varying delayed systems with series nonlinearities

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  • Hung, Meei-Ling
  • Yan, Jun-Juh

Abstract

In this paper, the problem of model-reference adaptive control for large-scale time-varying delayed systems with series nonlinearities is investigated. By applying the theory of variable structure control, we propose an adaptive controller, which is both memoryless and decentralized, to derive the error subsystem between the local model state and plant state to zero. The proposed variable structure control is able to ensure the stability of a sliding manifold of the composite system even though the control input is nonlinear. The main difficulty for handling the effects of interconnected terms is well solved by a new proposed adaptation mechanism. Finally, a numerical example is illustrated to demonstrate the validity of the derived controller.

Suggested Citation

  • Hung, Meei-Ling & Yan, Jun-Juh, 2007. "Decentralized model-reference adaptive control for a class of uncertain large-scale time-varying delayed systems with series nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1558-1568.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1558-1568
    DOI: 10.1016/j.chaos.2006.03.004
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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. Zhao, Yanwei & Wang, Huanqing & Xu, Ning & Zong, Guangdeng & Zhao, Xudong, 2023. "Reinforcement learning-based decentralized fault tolerant control for constrained interconnected nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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