Game-Based Control of Systems Under Network Constraints via a High-Order Fully Actuated Predictive Control

This paper considers a game-based control problem of networked control systems (NCSs) under network constraints that contain the network-induced delays and the data dropouts in the forward and feedback channels. A high-order fully actuated (HOFA) system model is used to establish the dynamics of NCSs. In the view of game theories, a cost function is designed for each player to construct an optimal scheme for the implementation of Nash equilibrium. A HOFA predictive control approach is given to address this problem. In this approach, a Diophantine equation is utilized to develop an incremental prediction model in a HOFA form, such that the multi-step ahead output predictions are completed to obtain the optimal scheme for the balance of inconsistent targets and the compensation of network constraints when reaching Nash equilibrium. Furthermore, a simple criterion is presented to discuss the stability and output convergence of closed-loop systems. The capability of HOFA predictive control approach is demonstrated via an experiment of tracking control of air-bearing spacecraft (ABS) simulator.