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Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time

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Listed:
  • Zhang, Liang
  • Liang, Jing
  • Feng, Zhiguang
  • Zhao, Ning

Abstract

This paper primarily discusses the hybrid H∞ and passive control problems of asynchronous discrete-time switching systems based on mode-dependent average dwell time. In the process of analysis, we divide the running time of the subsystem into two cases: matching and not matching the controller. Firstly, we employ the method of mode-dependent average dwell time to model the system and derive a suitable switching signal, ensuring the system is global uniform asymptotic stability. Meanwhile, the weighted hybrid H∞ and passivity are achieved. Then, according to the different performance parameters of each subsystem, the appropriate controller is designed using the form of linear matrix inequalities to improve the stability of the system. Finally, the effectiveness of the proposed method is demonstrated by a numerical example and a population ecosystem.

Suggested Citation

  • Zhang, Liang & Liang, Jing & Feng, Zhiguang & Zhao, Ning, 2024. "Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923013036
    DOI: 10.1016/j.chaos.2023.114401
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    References listed on IDEAS

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    1. Dong, Mingru & Li, Haibin & Yin, Rongrong & Qin, Yuhua & Hu, Yongtao, 2021. "Scalable asynchronous localization algorithm with mobility prediction for underwater wireless sensor networks," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Wu, Qianqian & Yang, Dan & Li, Xiaodi, 2023. "Output tracking control for state-dependent switched systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Guo, Shiyu & Zhao, Xudong & Wang, Huanqing & Xu, Ning, 2023. "Distributed consensus of heterogeneous switched nonlinear multiagent systems with input quantization and DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    4. Zhang, Jianan & Ma, Yuechao, 2023. "Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    5. Shen, Zhihao & Zhang, Liang & Niu, Ben & Zhao, Ning, 2023. "Event-based reachable set synthesis for delayed nonlinear semi-Markov systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.
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