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A Hybrid Event Trigger Mechanism and Time-Delay Partitioning Are Applied to Event-Driven Control Systems

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  • WanRu Wang
  • LianKun Sun
  • BinBin Shen

Abstract

This paper proposes an idea of using time-delay partitioning to construct a Lyapunov–Krasovskii functional (LKF) to analyse event-driven network control systems (NCSs) with the H ∞ performance. Firstly, select a mixed event-driven mechanism, in which an adjustable absolute trigger mechanism is added to the trigger condition. Trigger term can be indicated to use a delay model. Secondly, a suitable LKF is created, which makes use of time-delay partitioning. Based on Wirtinger inequality and linear matrix inequalities (LMI), the close system with H ∞ performance index level is global uniform ultimate bounded. Finally, a numerical simulation example proves the effectiveness of the proposed method.

Suggested Citation

  • WanRu Wang & LianKun Sun & BinBin Shen, 2020. "A Hybrid Event Trigger Mechanism and Time-Delay Partitioning Are Applied to Event-Driven Control Systems," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-14, August.
    • Handle: RePEc:hin:jnlmpe:6724083
    DOI: 10.1155/2020/6724083
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