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Distributed event-triggered fuzzy control for nonlinear interconnected systems

Author

Listed:
  • Pessim, Paulo S.P.
  • Coutinho, Pedro Henrique Silva
  • Lacerda, Márcio J.
  • Palhares, Reinaldo Martínez

Abstract

This paper deals with the asynchronous distributed event-triggered control of continuous-time nonlinear interconnected systems. The nonlinear dynamics of the subsystems are represented by Takagi–Sugeno fuzzy models via the sector nonlinearity approach. Moreover, the nonlinear interconnections among the subsystems are assumed to be known and sector-bounded. In the event-triggered control setup, where the state information is asynchronously available to the local controllers only in specific time instants, it is necessary to deal with the asynchronous premise variables because they introduce extra difficulties to derive suitable co-design conditions. To deal with this issue, we propose a new triggering strategy such that the local event-triggering mechanisms (ETMs) counteract the effects of asynchronous premise variables. With this new distributed ETM, a co-design condition is proposed, and the existence of a strictly positive minimum inter-event time is proved to exclude Zeno behaviour. Moreover, a multi-objective optimization procedure is introduced to enlarge the estimate of the domain of attraction of the closed-loop equilibrium and minimize the number of transmissions provided by the ETMs. Finally, the approach is validated through the synchronization of interconnected oscillators.

Suggested Citation

  • Pessim, Paulo S.P. & Coutinho, Pedro Henrique Silva & Lacerda, Márcio J. & Palhares, Reinaldo Martínez, 2023. "Distributed event-triggered fuzzy control for nonlinear interconnected systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011785
    DOI: 10.1016/j.chaos.2023.114276
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    References listed on IDEAS

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    1. Yang, Tianqing & Zou, Runmin & Liu, Fang & Liu, Cai & Sidorov, Denis, 2023. "Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Zhao, Yanwei & Wang, Huanqing & Xu, Ning & Zong, Guangdeng & Zhao, Xudong, 2023. "Reinforcement learning-based decentralized fault tolerant control for constrained interconnected nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Guo, Fang & Luo, Mengzhuo & Cheng, Jun & Katib, Iyad & Shi, Kaibo, 2023. "Nonfragile observer-based event-triggered fuzzy tracking control for fast-sampling singularly perturbed systems with dual-layer switching mechanism and cyber-attacks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Cui, Lili & Xie, Xiangpeng & Guo, Hongyan & Luo, Yanhong, 2022. "Dynamic event-triggered distributed guaranteed cost FTC scheme for nonlinear interconnected systems via ADP approach," Applied Mathematics and Computation, Elsevier, vol. 425(C).
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