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Decentralized Control of Nonlinear Large-Scale Systems Using Dynamic Output Feedback

Author

Listed:
  • X. G. Yan

    (Nanyang Technological University)

  • J. Lam

    (University of Hong Kong)

  • H. S. Li

    (Nanyang Technological University)

  • I. M. Chen

    (Nanyang Technological University)

Abstract

In this paper, a class of nonlinear large-scale systems with similar subsystems is studied. Both matched and unmatched uncertainties are considered by utilizing their bounding functions, and the interconnections take a more general form than considered previously. Based on a constrained Lyapunov equation, a nonlinear dynamic output feedback decentralized controller is presented. Unlike existing results, matched uncertainties are considered in the control design; by using a decomposition of the interconnections, the known and uncertain interconnections are treated separately; thus, the robustness is improved and conservativeness is reduced significantly. The computation effort for solving the Lyapunov equation is greatly reduced by taking into account the similar subsystem structure. Finally, simulation is used to illustrate the effectiveness of our results.

Suggested Citation

  • X. G. Yan & J. Lam & H. S. Li & I. M. Chen, 2000. "Decentralized Control of Nonlinear Large-Scale Systems Using Dynamic Output Feedback," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 459-475, February.
    • Handle: RePEc:spr:joptap:v:104:y:2000:i:2:d:10.1023_a:1004674032740
    DOI: 10.1023/A:1004674032740
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    Citations

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    Cited by:

    1. X. G. Yan & S. K. Spurgeon & C. Edwards, 2003. "Decentralized Output Feedback Sliding Mode Control of Nonlinear Large-Scale Systems with Uncertainties," Journal of Optimization Theory and Applications, Springer, vol. 119(3), pages 597-614, December.
    2. Jian Li & Qingling Zhang & Junchao Ren & Yanhao Zhang, 2017. "Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2997-3006, October.
    3. Jigang Bao & Liyue Fu & Haochen Zhang & Ancai Zhang & Wenhui Guo & Tiansheng Chen, 2022. "An Adaptive Proportional Plus Damping Control for Teleoperation Systems with Asymmetric Time-Varying Communication Delays," Mathematics, MDPI, vol. 10(24), pages 1-21, December.

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