Adaptive Fuzzy Inverse Optimal Control for Uncertain Switched Nonlinear Systems With Mismatched Disturbance

ABSTRACT This paper investigates the adaptive fuzzy inverse optimal for switched nonlinear systems subject to mismatched disturbance and uncertain nonlinear function. Compared with some existing literature on optimization control, the inverse optimization control method is employed to achieve the optimal performance of the system, which no longer requires solving the Hamilton–Jacobi–Bellman equation. Then, a predefined‐time lemma is adopted which can relieve the problem of overestimating setting time and reduce the dependence of setting time on design parameters. In this case, the predefined‐time inverse optimal controller is designed based on the adaptive and fuzzy control theory, which can ensure the closed‐loop systems are practically predefined‐time stable while minimizing the cost function. Finally, the effectiveness and practicality of the paper are verified through a practical example.