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Decentralized Adaptive Robust State Feedback for Uncertain Large-Scale Interconnected Systems with Time Delays

Author

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  • H. S. Wu

    (Hiroshima Prefectural University)

Abstract

The problem of the decentralized robust control is considered for a class of large-scale time-varying systems withdelayed state perturbations and external disturbances in the interconnections. Here, the upper bounds of the delayed stateperturbations and external disturbances in the interconnections are assumed to be unknown. Adaptation laws areproposed to estimate such unknown bounds; by making use of the updated values of the unknown bounds, decentralized linear and nonlinear memoryless robust state feedback controllers are constructed. Based on Lyapunov stability theoryand Lyapunov–Krasovskii functionals, as well as employing the proposed decentralized nonlinear robust state feedback controllers, it is shown that the solutions of the resulting adaptive closed-loop large-scale time-delay system can be guaranteed to be uniformly bounded and that the states converge uniformly and asymptotically to zero. It is also shown that the proposed decentralized linear robust state feedback controllers can guarantee the uniform ultimate boundedness of the resulting adaptive closed-loop large-scale time-delay system. Finally, a numerical example is given to demonstrate the validity of the results.

Suggested Citation

  • H. S. Wu, 2005. "Decentralized Adaptive Robust State Feedback for Uncertain Large-Scale Interconnected Systems with Time Delays," Journal of Optimization Theory and Applications, Springer, vol. 126(2), pages 439-462, August.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:2:d:10.1007_s10957-005-4726-y
    DOI: 10.1007/s10957-005-4726-y
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    Cited by:

    1. Yoo, Sung Jin, 2021. "Decentralized event-triggered adaptive control of a class of uncertain interconnected nonlinear systems using local state feedback corrupted by unknown injection data," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Dong Min Jeong & Sung Jin Yoo, 2020. "Decentralized Adaptive Tracking of Interconnected Nonlinear Systems by Corrupted Output Feedback," Mathematics, MDPI, vol. 8(8), pages 1-21, August.

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