Hybrid-triggered-based fault-tolerant dissipative control for T-S fuzzy parabolic PDE systems with external disturbances and deception attacks

This paper addresses the fault-tolerant hybrid-triggered control problem for a class of nonlinear parabolic PDE systems with Neumann-type boundary conditions subject to actuator faults, external disturbances and randomly occurring deception attacks. Precisely, in order to provide an accurate representation of the considered nonlinear parabolic PDE system, a Takagi-Sugeno fuzzy PDE model is utilized. Further, in an effort to reduce the amount of communication transmissions, a more general hybrid-triggering method is implemented which includes both time-and event-triggered scheme. For the descriptions of the hybrid-triggered strategy and deception attacks, stochastic variables that follows Bernoulli distribution are presented. At the same time, an actuator fault model is considered in order to manage the impact of faults that occur in the actuators of the system under consideration. By the construction of suitable Lyapunov-Krasovskii functional, a set of adequate requirements is procured that ensure the closed-loop system is asymptotically stable and dissipative. In addition, the necessary controller gain matrices are obtained by making use of linear matrix inequalities. In the end, two numerical examples are exhibited to articulate the efficacy of the proposed control design technique.