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

Yiqun Liu, Guangming Zhuang, Junsheng Zhao, Junwei Lu and Zekun Wang

Applied Mathematics and Computation, 2023, vol. 447, issue C

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.

Keywords: Memory state-feedback controller; Nonlinear singular impulsive Markovian jump systems; Timer-dependent Lyapunov–Krasovskii functional; Time-varying delays; Fuzzy feedback control (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:447:y:2023:i:c:s0096300323000905

DOI: 10.1016/j.amc.2023.127921

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