Event-trigger-based adaptive output feedback approximately optimal tracking control of a class of MIMO non-affine nonlinear systems

Abstract

An event-trigger-based adaptive output feedback approximately optimal tracking control strategy is presented for a class of multiple-input multiple-output (MIMO) non-affine nonlinear systems. A fuzzy state observer is designed for estimation of internal states, where fuzzy logic systems (FLSs) are employed to approximate unknown nonlinear dynamics. In the event-triggered and backstepping control framework, an output feedback control strategy, consisting of the adaptive backstepping control and the approximately optimal control via the adaptive dynamic programming (ADP) method, is presented. This strategy not only reduces the number of executions from the actuator but also guarantees that the performance index of the system is approximately minimized. Finally, two simulation examples are provided to verify the effectiveness of the proposed strategy.