Fuzzy Dynamic Event-Triggered Control for Constrained Stochastic Game Systems

In this article, we focus on solving the optimal control problem for stochastic game systems while considering multiple constraints. Initially, applying the asymmetric time-varying mapping functions, the constrained nonzero-sum stochastic differential games are transformed into the ones in unconstrained forms. Moreover, the actor–critic architecture is designed to achieve the Nash equilibrium, and the critic fuzzy logic systems (FLSs) and actor FLSs are utilized to approximate the optimal value functions and the control policies, respectively. Subsequently, a dynamic event-triggered mechanism is devised, and an additional dynamic variable is defined to characterize the past triggering information, which provides a larger interevent time. Mathematical analysis reveals the stability of closed-loop system, the weight convergence, and the characteristics of dynamic event-triggered mechanism. Finally, simulation results prove the effectiveness of the proposed method.