Mode-Dependent Event-Triggered Output Control for Switched T-S Fuzzy Systems With Stochastic Switching

It is challenging to deal with the relationship between the triggering interval and the dwell time when mode-pendent event-triggered control is considered for switched systems, especially complete actuator faults occur in some subsystems (or modes). Therefore, this article considers the exponential stabilization almost surely (ES a.s.) for a class of Takagi-Sugeno fuzzy systems with delay and stochastic switching by designing a novel mode-dependent event-triggered output control. It is assumed that only the measured output can be utilized in designing the controller and complete actuator faults occur in some modes. Periodic sampling is utilized to avoid the Zeno phenomenon. Combining the sampling interval with delay-partitioning method, a fuzzy Lyapunov-Krasovskii functional (LKF) is designed on the basis of the derivative of the membership functions to obtain less conservative results. Especially, the increment coefficient of the multiple LKF at switching instant is smaller than one. The maximum feasible value of the sampling interval is derived and the control gains are designed by solving linear matrix inequalities. Our results show that the ES a.s. is ensured though some modes are not controlled. Numerical simulations demonstrate the merits of the theoretical analysis. It is significant to find by numerical simulations that the time delay cannot be divided into too small values though the delay-partitioning method is effective in reducing the conservativeness.