Mobile control for a class of stochastic distributed parameter systems with time-dependent spatial domains

In this article, a mobile control scheme is proposed for a class of stochastic distributed parameter systems with time-dependent spatial domains with the aid of a mobile actuating device equipped with a simple output feedback controller. The almost locally distributed state information is assumed to be provided by sensors dotted about the spatial domain where the moving actuating device is able to travel throughout. Two strategies are obtained based on different assumptions on the dynamic behavior of the actuating device. It is proved that the mobile strategy of the actuating device, which is obtained based on the Lyapunov's method and Ito differential formula, is greatly affected by the time-dependent spatial domain. Simulation results show that the proposed mobile control policy is effective.

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