Secure stabilization of switched T-S fuzzy systems with mixed delay via mode-dependent event-triggered control

This article considers a sort of continuous-time switched T-S fuzzy systems, in which each subsystem switches based on the mode-dependent average dwell time and transition probability and the mixed delay includes time-varying and infinite-time distributed delay. An event-triggered controller (ETC) with mode-dependent random deception attacks is put forward such that the considered system realizes exponential stabilization almost surely (ES a.s.). The ETC is not only mode-dependent but also excludes Zeno behavior automatically with tunable parameters to adjust the event-triggering (ET) numbers according to practical needs. By using the ergodic theory and designing Lyapunov-Krasovskii functional, two criteria are set up to ensure the ES a.s. It is interesting to discover that the ETC is not necessary to control each mode to be stable and the dwell time of an unstable mode can be very large, which greatly reduces the conservatism and saves the control cost. Moreover, the weights of ET mechanism and control gains are obtained for all the switching modes by solving linear matrix inequalities. A simulation example is given to illustrate the merits of theoretical analysis.