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H∞.. admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory state-feedback control

Author

Listed:
  • Liu, Yiqun
  • Zhuang, Guangming
  • Zhao, Junsheng
  • Lu, Junwei
  • Wang, Zekun

Abstract

This paper addresses the problem of H∞ admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory fuzzy state-feedback control. New criteria to guarantee the H∞ admissibility for the fuzzy time-varying delayed singular impulsive jump systems are obtained by establishing the improved timer-dependent Lyapunov–Krasovskii functional. The singular value decomposition technique is utilized to eliminate internal impulses, and the memory fuzzy state-feedback controller is successfully designed by using parallel distribution compensation technique to inhibit the effects of external unstable impulses and time-varying delays. The gains of the desired memory fuzzy state-feedback controller are obtained through solving linear matrix inequalities. Finally, the rightness and validity of the obtained results are demonstrated by two simulation examples containing the bio-economic system.

Suggested Citation

  • Liu, Yiqun & Zhuang, Guangming & Zhao, Junsheng & Lu, Junwei & Wang, Zekun, 2023. "H∞.. admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory state-feedback control," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    • Handle: RePEc:eee:apmaco:v:447:y:2023:i:c:s0096300323000905
    DOI: 10.1016/j.amc.2023.127921
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    References listed on IDEAS

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    1. Cao, Wenping & Zhu, Quanxin, 2022. "Stability of stochastic nonlinear delay systems with delayed impulses," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    2. Visakamoorthi, B. & Subramanian, K. & Muthukumar, P., 2022. "Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    3. Wang, Zhe & Xue, Dingyu & Pan, Feng, 2021. "Observer-based robust control for singular switched fractional order systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    4. Xian-Ming Zhang & Qing-Long Han & Xiaohua Ge, 2022. "The construction of augmented Lyapunov-Krasovskii functionals and the estimation of their derivatives in stability analysis of time-delay systems: a survey," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(12), pages 2480-2495, September.
    5. Xie, Lifei & Cheng, Jun & Wang, Hailing & Wang, Jiange & Hu, Mengjie & Zhou, Zhidong, 2022. "Memory-based event-triggered asynchronous control for semi-Markov switching systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    6. Simos, Theodore E. & Katsikis, Vasilios N. & Mourtas, Spyridon D. & Stanimirović, Predrag S., 2022. "Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 164-180.
    7. Zhenghong Jin & Qingling Zhang & Xinyou Meng, 2019. "The impulse analysis of the T-S fuzzy singular system via Kronecker index," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(7), pages 1327-1337, May.
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