Stochastic Optimal Linear Control of Wireless Networked Control Systems with Delays and Packet Losses
It addresses optimal control for wireless networked systems with stochastic delays and losses, which is important for applications like power grids, but the approach is incremental.
The paper models a wireless networked control system with delays and packet losses as a non-cooperative LQ game and derives optimal decentralized state-feedback controllers. Simulations on genetic and load frequency control systems demonstrate the algorithm's effectiveness.
In this paper, the design of the optimal decentralized state-feedback controllers is considered for a wireless sensor and actuator network (WSAN) with stochastic network-induced delays and packet losses. In particular, taking advantage of multiple controllers, we model the WSAN as a wireless networked control system (NCS) with decentralized controllers, and then formulate the stochastic optimal state-feedback control problem as a non-cooperative linear quadratic (LQ) game. The optimal control law of each controller is obtained that is a function of the current plant state and all past control signals. The performance of the proposed stochastic optimal control algorithm is investigated using both a genetic control system and a load frequency control (LFC) system in power grid.