Event-based fuzzy adaptive control with predetermined performance for MIMO nonlinear systems via nonlinear impulsive dynamics approach

This paper investigates a technical problem, that is, how to apply the backstepping to obtain an event-triggered controller for multiple-input multiple-output (MIMO) nonlinear systems. If the controller is set to be triggered, then all virtual controls are also forcibly triggered synchronously since this controller incorporates all virtual controls. That indicates the virtual controls applied to the control operation are event-triggered and discontinuous. As a result, the control design and performance analysis may become more complicated for such event-triggered systems. Therefore, this paper presents a prescribed-time fuzzy adaptive event-triggered control strategy for MIMO nonlinear systems. A new event-triggered mechanism is constructed for updating the actual controller and all virtual controls, and the nonlinear impulsive dynamics approach is employed for tackling the difficulties arising from the discontinuity of the virtual controls. Moreover, the Lyapunov stability analysis approach for nonlinear impulsive system is utilized to determine the performance of the controlled system. The good tracking performance is accomplished by selecting the proper design parameters. Ultimately, the feasibility and validity of the developed control strategy is supported by simulation.