Noncooperative Game Strategy Design Over Fading Measurement Channel Under Wiener Type Disturbance: Handling Continuous-Time Time-Varying System

This article investigates the resilient noncooperative game strategy design problem for the continuous-time system subjected to the Wiener type disturbance. To reflect the reality, the fading measurement and gain perturbation phenomena are simultaneously taken into consideration. Due to the considered complexities, there is little chance of obtaining the accurate cost function. For the sake of quantifying the controller performance, we resort to a certain upper bound of cost function (UBoCF) as an alternative. Then, the so-called noncooperative game strategy is designed which is capable of minimizing the derived UBoCF in a parallel manner. The designed noncooperative game strategy is the solution to a bunch of coupled differential Riccati-like equations (DREs). In addition, the theory analysis is generalized to the infinite-horizon with hope to describe the steady-state behavior. Specifically, the restraint conditions are provided to guarantee the stability of the system. Finally, a numerical example on the load frequency control (LFC) system is shown to verify the effectiveness of the proposed methodology.