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Robust normalization and H∞ stabilization for uncertain Takagi-Sugeno fuzzy singular systems with time-delays

Author

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  • Mu, Yunfei
  • Zhang, Huaguang
  • Su, Hanguang
  • Wang, Yingchun

Abstract

This work deals with the simultaneous robust normalization and H∞ stabilization problems for uncertain Takagi-Sugeno fuzzy singular systems (TSFSSs) with time-delays via a novel fuzzy proportional-derivative state feedback controller (PDSFC). It is worth pointing out that the uncertainties involved in this paper exist in all different system matrices including Ei. Without using any model transformations, some new criteria that ensure the closed-loop system to be robustly normal and stable for all admissible uncertainties are exactly deduced by means of the free-weighting matrix method, and clearly expressed as strict linear matrix inequalities. Meanwhile, the prescribed H∞ performance is also achieved. Then, based on the obtained criteria, the specific expression of desired fuzzy PDSFC is given. Finally, the correctness and feasibility of our theoretical results are verified via two academic examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320304902
    DOI: 10.1016/j.amc.2020.125534
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    References listed on IDEAS

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    1. Chih-Peng Huang, 2013. "Stability analysis and controller synthesis for fuzzy descriptor systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 23-33.
    2. Yueqiao Han & Yonggui Kao & Cunchen Gao & Baoping Jiang, 2017. "Robust sliding mode control for uncertain discrete singular systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 818-827, March.
    3. Zhan Su & Jun Ai & Qingling Zhang & Naixue Xiong, 2017. "An improved robust finite-time dissipative control for uncertain fuzzy descriptor systems with disturbance," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1581-1596, June.
    4. 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.
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    Cited by:

    1. Fu, Xiuwen & Sheng, Zhaoliang & Lin, Chong & Chen, Bing, 2022. "New results on admissibility and dissipativity analysis of descriptor time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    2. Wen-Jer Chang & Yu-Min Huang & Yann-Horng Lin, 2023. "Observer-Based Fuzzy Control of Uncertain Nonlinear Singular Systems under Multi-Performance Requirements," Mathematics, MDPI, vol. 11(12), pages 1-20, June.

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