Aperiodic adaptive control for neural-network-based nonzero-sum differential games: A novel event-triggering strategy

Chaoxu Mu; Ke Wang

doi:10.1016/j.isatra.2019.01.025

Aperiodic adaptive control for neural-network-based nonzero-sum differential games: A novel event-triggering strategy

ISA Trans. 2019 Sep:92:1-13. doi: 10.1016/j.isatra.2019.01.025. Epub 2019 Jan 25.

Authors

Chaoxu Mu¹, Ke Wang²

Affiliations

¹ School of Electrical and Information Engineering, Tianjin University, Tianjin, China. Electronic address: cxmu@tju.edu.cn.
² School of Electrical and Information Engineering, Tianjin University, Tianjin, China. Electronic address: walker_wang@tju.edu.cn.

PMID: 30732994
DOI: 10.1016/j.isatra.2019.01.025

Abstract

Owing to the adoption of aperiodic sampling pattern, the event-triggering control mode has been widely investigated in networked systems to save communication and reduce computation. Recently, there has been some preliminary findings to explore applications of this novel mode and to implement it in neural-network-based nonlinear systems by including an event generator. This motivates our investigation. For the first time, this paper designs triggering rules for neural-network-based nonzero-sum differential games characterized by nonlinear dynamics and quadratic cost functions. The main intention of the event-triggering strategy is to reduce communication between controllers and neural networks, thereby mitigating computational loads of controllers. An adaptive critic algorithm is subsequently applied to learn the required Nash equilibrium on line and meantime an alarm sampling period is proposed to ameliorate the learning accuracy. Furthermore, three simulation cases validate the approximate-optimal control performance and appraise virtues of the proposed event-triggering mode.

Keywords: Event-triggering; Nash equilibrium; Neural network; Nonlinear dynamics; Nonzero-sum differential game.