Abstract
In this paper, the design of the optimal decentralized full-state-feedback control is considered for a wireless sensor and actuator network with multiple controllers in the presence of stochastic network-induced delays and plant state noise. In particular, using the quadratic cost function, the design problem with decentralized controllers is formulated as a non-cooperative linear quadratic game. Then, the optimal control law of each controller is obtained that is a function of the current plant state and finite past control signals. The performance of the proposed algorithm is evaluated by a stable control system and an application of the load frequency control system in power grid.
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