Integral-Type Event-Trigger Scheme for Stabilization of TCS Fuzzy Systems by Using Preassigned-Interval Looped Function Method

This article is concerned with the integral-type event-triggered stabilization problem for Tahaki-Sugeno (T-S) fuzzy systems by employing the preassigned-interval looped function method. Herein, preassigned-interval looped function means that the positivity and symmetry on Lyapunov functions are removed in the inner preassigned intervals. The rest are saved. First, an integral-type trigger scheme is proposed to remember the evolution information of systems, which contributes to sampling the really necessary data packets. Then, a novel Lyapunov function is designed by using the integral of state information and preassigned intervals. In combination with some inequality techniques, continuous-time Lyapunov theory (CLT) and discrete-time Lyapunov theory (DLT), two sufficient conditions are developed to ensure the T-S fuzzy systems can be stabilized to the origin in the presence of an integral-type trigger scheme. Compared with some existing results, the advantages of the preassigned-interval looped function and trigger scheme are well analyzed. Finally, simulation results are carried out to verify the effectiveness of the control scheme.