Stochastic optimal linear control of wireless networked control systems with delays and packet losses

In this study, the design of the optimal decentralised 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, the authors model the WSAN as a wireless networked control system with decentralised controllers, and then formulate the stochastic optimal state‐feedback control problem as a non‐cooperative linear quadratic game. The optimal control law of each controller is obtained that is a function of the current plant state and past control signals. The performance of the proposed algorithm is investigated by an unstable linearised inverted pendulum and an application of the load frequency control system in power grid.