Fuzzy adaptive-event-triggered control for semi-linear parabolic PDE systems with stochastic actuator failures

This paper investigates the fault-tolerant control problem for fuzzy semi-linear parabolic PDE systems with stochastic actuator failures. First, a pointwise measurement-based adaptive-event-triggered control scheme is newly proposed for semi-linear PDE systems to reduce the waste of communication resources. Second, by introducing a more practical semi-Markov jump model describing the random occurring actuator failures, the closed-loop system is exactly represented by a T-S fuzzy PDE model with semi-Markovian switching parameters. Moreover, by constructing a suitable LKF including an improved looped-functional and using some advanced inequalities, sufficient stability conditions with less conservatism are established. Finally, two simulation examples including comparative studies are employed to demonstrate the superiority and effectiveness of the developed method.

Automated summary

This paper investigates the fault-tolerant control problem for fuzzy semi-linear parabolic PDE systems with stochastic actuator failures. A pointwise measurement-based adaptive-event-triggered control scheme is proposed to reduce the waste of communication resources. By introducing a more practical semi-Markov jump model, the closed-loop system is exactly represented by a T-S fuzzy PDE model with semi-Markovian switching parameters. Sufficient stability conditions with less conservatism are established using an improved looped-functional and advanced inequalities. Simulation examples are employed to demonstrate the superiority and effectiveness of the developed method.