Dynamic event-based dissipative asynchronous control for T–S fuzzy singular Markov jump LPV systems against deception attacks

Abstract

In this article, the issue of dissipative asynchronous control for continuous-time T–S fuzzy singular Markov jump linear parameter-varying systems against dual deception attacks under the dynamic event-triggered transmission protocol (DETP) is investigated. Firstly, the DETP is offered to further abate the channel congestion caused by the limited bandwidth. Meanwhile, the mutually independent random variables subject to Bernoulli distribution are utilized to model the dual deception attacks, which can destroy the integrity of the considered system to some degree. Besides, since the controller can not accurately receive the system information, a hidden Markov model is established to depict the asynchronous phenomenon. Specifically, in the light of the parameter-dependent Lyapunov functional, the stochastic admissible criterion of the closed-loop system with certain dissipative performance and uncertain transition rates is obtained. Ulteriorly, based on the parameter-dependent linear matrix inequalities, a cooperative design technique of asynchronous controller and the weighting matrix of the DETP is proposed. Finally, two examples of chaotic systems and electric truck-trailer systems under the DETP are given to illustrate the feasibility of the proposed method.

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Correspondence to Yanqian Wang.

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Xing, M., Wang, Y., Zhuang, G. et al. Dynamic event-based dissipative asynchronous control for T–S fuzzy singular Markov jump LPV systems against deception attacks. Nonlinear Dyn 103, 1709–1731 (2021). https://doi.org/10.1007/s11071-021-06200-0

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Keywords

  • Dynamic event-triggered transmission protocol
  • T–S fuzzy singular Markov jump linear parameter-varying systems
  • Cyber-physical systems
  • General transition rates
  • Deception-attacks