Reliable control for hybrid-driven T–S fuzzy systems with actuator faults and probabilistic nonlinear perturbations

Abstract

This paper is concerned with the reliable controller design for hybrid-driven nonlinear systems via T–S fuzzy model with probabilistic actuator faults and probabilistic nonlinear perturbations. To reduce unnecessary transmissions in the network, a hybrid-driven scheme is introduced, in which the communication transmission scheme can be selected between time-driven scheme and event-driven scheme. The switch law of the communication schemes is modeled as Bernoulli distributed stochastic variable. Considering the network-induced delay, nonlinear perturbations and the probabilistic actuator faults, a new model is constructed under the hybrid driven scheme. By using Lyapunov–Krasovskii functionals and stochastic analysis techniques, sufficient conditions are established which ensure the asymptotical stability of the augmented system under hybrid driven scheme. Furthermore, a unified co-design algorithm for the desired controller and the hybrid-driven scheme are developed. Finally, a typical simulation example is used to demonstrate the validity of obtained results.