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In this paper, the design of the optimal decentralized state-feedbackcontrollers is considered for a wireless sensor and actuator network (WSAN)with stochastic network-induced delays and packet losses. In particular, takingadvantage of multiple controllers, we model the WSAN as a wireless networkedcontrol system (NCS) with decentralized controllers, and then formulate thestochastic optimal state-feedback control problem as a non-cooperative linearquadratic (LQ) game. The optimal control law of each controller is obtainedthat is a function of the current plant state and all past control signals. Theperformance of the proposed stochastic optimal control algorithm isinvestigated using both a genetic control system and a load frequency control(LFC) system in power grid.

Stochastic Optimal Linear Control of Wireless Networked Control Systems with Delays and Packet Losses