Adaptive-dynamic-programming-based fuzzy control for strict-feedback nonlinear systems with unknown time-delay

The issue of the adaptive dynamic programming control design is explored for time-delay nonlinear systems. The established scheme is constituted of two parts, feedforward control and feedback optimal control, respectively. By employing the universal approximation character of fuzzy logic system (FLS) to handle unknown utility function, thus an optimal fuzzy adaptive feedback design is structured. The stability of the controlled system is further approved, and the output can track the desired trajectory in an optimal manner. The feasibility of the established control tactics is confirmed via simulation case.