Fault‐Tolerant Control for Synchronization of Complex Switched Partial Differential Systems Subject to Interchange Attack

ABSTRACT This study analyzes the dissipative synchronization problem of uncertain nonlinear complex switched partial differential systems with probabilistic time‐varying delays. In order to replicate the real‐world scenario, the concept of cyber‐attacks is examined along with time‐varying actuator fault. However, to tackle these hurdles, we design an effective secure fault‐tolerant non‐fragile memory feedback controller with the presence of interchange attack. Furthermore, Bernoulli's random variables are employed to find out the random occurrence of time‐varying delays and success ratio of cyber‐attacks. The dissipative performance index is deployed to attenuate the disturbance level. By constructing suitable Lyapunov‐Krasovskii functionals and with the aid of Jensen's integral inequalities, sufficient conditions are attained in terms of linear matrix inequality to ensure the mean‐square asymptotic synchronization of the proposed system. Ultimately, simulation results are provided to verify the superiority of the proposed control scheme over the theoretical findings.