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Improved T-S Fuzzy Control for Uncertain Time-Delay Coronary Artery System

Author

Listed:
  • Zhenyu Zhu
  • Zhanshan Zhao
  • Haoliang Cui
  • Fengdong Shi

Abstract

This paper is based on the Takagi-Sugeno (T-S) fuzzy models to construct a coronary artery system (CAS) T-S fuzzy controller and considers the uncertainties of system state parameters in CAS. We propose the fuzzy model of CAS with uncertainties. By using T-S fuzzy model of CAS and the use of parallel distributed compensation (PDC) concept, the same fuzzy set is assigned to T-S fuzzy controller. Based on this, a PDC controller whose fuzzy rules correspond to the fuzzy model is designed. By constructing a suitable Lyapunov-Krasovskii function (LKF), the stability conditions of the linear matrix inequality (LMI) are exported. Simulation results show that the method proposed in this paper is correct and effective and has certain practical significance.

Suggested Citation

  • Zhenyu Zhu & Zhanshan Zhao & Haoliang Cui & Fengdong Shi, 2019. "Improved T-S Fuzzy Control for Uncertain Time-Delay Coronary Artery System," Complexity, Hindawi, vol. 2019, pages 1-11, May.
  • Handle: RePEc:hin:complx:3864843
    DOI: 10.1155/2019/3864843
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    References listed on IDEAS

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    1. Yongbao Wu & Wenxue Li & Jiqiang Feng, 2017. "Stabilisation of stochastic coupled systems via feedback control based on discrete-time state observations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2850-2859, October.
    2. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
    3. Wang, Yuangan & Yu, Honglin, 2018. "Fuzzy synchronization of chaotic systems via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 154-160.
    4. Nian, Fuzhong & Liu, Xinmeng & Zhang, Yaqiong, 2018. "Sliding mode synchronization of fractional-order complex chaotic system with parametric and external disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 22-28.
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