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Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback

Author

Listed:
  • Jian Li
  • Qingling Zhang
  • Junchao Ren
  • Yanhao Zhang

Abstract

This paper studies the problem of robust stability and stabilisation for uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative state feedback or proportional plus derivative output feedback. The basic idea of this work is to use the well-known differential mean value theorem to deal with the nonlinear model such that the considered nonlinear descriptor systems can be transformed into linear parameter varying systems. By using a parameter-dependent Lyapunov function, a decentralised proportional plus derivative state feedback controller and decentralised proportional plus derivative output feedback controller are designed, respectively such that the closed-loop system is quadratically normal and quadratically stable. Finally, a hypersonic vehicle practical simulation example and numerical example are given to illustrate the effectiveness of the results obtained in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2997-3006
    DOI: 10.1080/00207721.2017.1367428
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    References listed on IDEAS

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    1. 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.
    2. Junchao Ren & Qingling Zhang, 2013. "Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 450-460.
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    Cited by:

    1. Gao, Rui & Zhai, Ding & Cheng, Jun, 2019. "Decentralized static output feedback sliding mode control for interconnected descriptor systems via linear sliding variable," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 185-198.
    2. Mu, Yunfei & Zhang, Huaguang & Su, Hanguang & Wang, Yingchun, 2021. "Robust normalization and H∞ stabilization for uncertain Takagi-Sugeno fuzzy singular systems with time-delays," Applied Mathematics and Computation, Elsevier, vol. 388(C).

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