Event-triggered optimal control scheme for discrete-time nonlinear zero-sum games
ZHANG Xin
BO Ying-chun
CUI Li-li
Abstract：In order to reduce the network communication and controller execution frequency while guarantee a desired control performance, an event-triggered optimal control scheme is proposed for solving the optimal control pair of discrete-time nonlinear zero-sum games in this paper. Firstly, an event-triggered condition with new event-triggered threshold is designed. The expression of the optimal control pair is obtained based on the Bellman optimality principle. Then, a single network value iteration algorithm is proposed to solve the optimal value function in this expression. A neural network is used to construct the critic network. Novel weight update rule of the critic network is derived. Through the iteration between the critic network, the control policy and the disturbance policy, the optimal value function and the optimal control pair can be solved. Further, the Lyapunov theory is used to prove the stability of the event-triggered closed-loop system. Finally, the event-triggered optimal control mechanism is applied to two examples to verify its effectiveness.
Keywords：game theoryevent-triggeredadaptive dynamic programmingoptimal control
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 619-626 )