Event‐triggered optimal tracking control of multiplayer unknown nonlinear systems via adaptive critic designs

Abstract

AbstractIn this article, the event‐triggered optimal tracking control problem for multiplayer unknown nonlinear systems is investigated by using adaptive critic designs. By constructing a neural network (NN)‐based observer with input–output data, the system dynamics of multiplayer unknown nonlinear systems is obtained. Subsequently, the optimal tracking control problem is converted to an optimal regulation problem by establishing a tracking error system. Then, the optimal tracking control policy for each player is derived by solving coupled event‐triggered Hamilton‐Jacobi (HJ) equation via a critic NN. Meanwhile, a novel weight updating rule is designed by adopting concurrent learning method to relax the persistence of excitation (PE) condition. Moreover, an event‐triggering condition is designed by using Lyapunov's direct method to guarantee the uniform ultimate boundedness (UUB) of the closed‐loop multiplayer systems. Finally, the effectiveness of the developed method is verified by two different multiplayer nonlinear systems.