Design of dynamic hybrid-triggered dissipative resilient control for parabolic PDE cyber–physical switched systems with attacks

• Published in: Communications in nonlinear science & numerical simulation Vol. 142; p. 108584
• Main Authors: Karthika, P., Sozhaeswari, P., Mohammadzadeh, A., Sakthivel, R.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2025
• Subjects: Cyber–physical switched model; Dissipativity performance; Dynamic hybrid-triggered resilient controller; FDI attacks; Parabolic PDE systems; Dissipativity performance; Parabolic PDE systems; Dynamic hybrid-triggered resilient controller; Cyber–physical switched model; FDI attacks
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2024.108584

The focus of this study is on investigating the design of dynamic hybrid-triggered resilient control for partial differential equation (PDE) systems even in the presence of Neumann boundary conditions. To be specific, the PDE under consideration is of the parabolic type involving cyber–physical switched systems and is subject to randomly occurring uncertainties, external disturbances and false data injection (FDI) attacks. Moreover, in an attempt to minimize the volume of data transfers, a broader dynamic hybrid-triggered (DHT) approach is executed, amalgamating both time-triggered and dynamic event-triggered techniques. Concurrently, resilient control is being considered to guarantee the required stabilization of the system, even in the presence of gain fluctuations. Within the specified context, stochastic variables that conform to the Bernoulli distribution are incorporated in the DHT resilient scheme and FDI attacks. Furthermore, the construction of a pertinent Lyapunov–Krasovskii functional leads to the establishment of required conditions for ensuring both asymptotic stability and extended dissipative performance for the closed-loop structure. Moreover, the required controller gain matrices are derived through the utilization of linear matrix inequalities. Ultimately, the suggested control design technique’s effectiveness is showcased through the presentation of two numerical examples. •Dynamic hybrid-triggered control is designed for PDE cyber–physical switched system.•Developed model incorporates gain fluctuations, disturbances, FDI attacks.•Hybrid-triggered strategy is developed to reduce the impact of network transmission.•Extended dissipative theory is incorporated to dampen the effects of disturbances.•The asymptotic stability constraints are given in LMI form.