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Dynamic event-triggered formation control for Takagi–Sugeno fuzzy multi-agent systems with mismatched membership functions

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  • Parivallal, Arumugam
  • Jung, Yoon Mo
  • Yun, Sangwoon

Abstract

The dynamic event-triggered control scheme is employed in this work to explore the formation control problem of Takagi–Sugeno fuzzy multi-agent systems. The formation control problem is examined by employing a multi-agent system in the form of a Takagi–Sugeno fuzzy model. To reduce the frequency of control updates during the desired formation, a dynamic event-triggered controller is designed by introducing an internal dynamic variable. Initially, the error systems between the agents and the desired formation are introduced. A suitable Lyapunov–Krasovskii functional is then specifically designed for these error systems. By applying an improved delay-dependent reciprocally convex inequality, sufficient conditions for the stability of the error systems are obtained, which guarantee the desired formation of the selected multi-agent systems. In particular, these conditions are obtained in the form of linear matrix inequalities. Finally, a numerical illustration is provided to validate the feasibility of the theoretical outcomes.

Suggested Citation

  • Parivallal, Arumugam & Jung, Yoon Mo & Yun, Sangwoon, 2023. "Dynamic event-triggered formation control for Takagi–Sugeno fuzzy multi-agent systems with mismatched membership functions," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923010901
    DOI: 10.1016/j.chaos.2023.114188
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    References listed on IDEAS

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    1. Xiao-Jie Peng & Yong He, 2022. "Consensus of multi-agent systems with state and input delays via non-fragile protocol," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(12), pages 2584-2596, September.
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