Adaptive event-triggered control of reachable set for nonlinear systems

This paper focuses on reachable set control for nonlinear systems. In response to the problems of traditional reachable set research methods in dealing with nonlinear systems, such as the high consumption of computational resources and difficulty in dealing with unknown parameters and nonlinear terms. An adaptive reachable set controller is devised in this paper to address the nonlinear effects efficiently. In addition, to reduce unnecessary consumption of communication resources, an adaptive event-triggered strategy is proposed. Meanwhile, this paper discretizes the control law to avoid the complexity explosion problem. Finally, the correctness of the theory is verified through numerical examples.