Dissipativity-Based Asynchronous Fuzzy Sliding Mode Control for Fuzzy MJSs

As for control techniques, SMC is well-known as an effective robust control method in dealing with nonlinearities, uncertainties and noises. Its purpose is to devise an applicable control scheme to ensure that system trajectories are driven onto the user-defined sliding surface in limited time and subsequently operate there. Thus, it has been extensively used, for instance, the finite-time stabilization for continuous-time nonlinear systems [1] and the event-triggered control for stochastic systems [2]. On the other hand, in approximating nonlinear systems by adopting the T–S fuzzy model, some model uncertainties or errors are created. Due to the quick reaction and powerful robustness of SMC, it has been developed to cope with model uncertainties or errors in T–S fuzzy systems. In [3], a classic SMC and a non-PDC SMC scheme have been devised to investigate the robust stabilization issue for T–S fuzzy stochastic descriptor systems. The work in [4] has addressed the robust SMC issue for T–S fuzzy systems with mismatched and matched uncertainties. For T–S fuzzy systems with uncertainties and noises, a new fuzzy integral SMC surface has been constructed to deal with the dissipativity-based control problem in [5].