Controlling a class of stochastic distributed parameter systems using mobile sensor-actuator networks with missing measurements

This article investigates a mobile control problem for a class of stochastic distributed parameter systems with moving boundaries by using mobile sensor-actuator networks(MSANs). The network induced randomly missing measurements among the sensors are introduced for their universal existence in sensor networks. The collocated sensor-actuator networks which can travel throughout the spatial domain are assumed to be able to provide almost locally measurements and implement the related control behavior. Two strategies are obtained based on different assumptions on different modes of messaging. It is proved that the mobile control strategy of the MSANs which is obtained based on the Lyapunov's method and Ito differential formula, is greatly affected by the moving boundary. A numerical example is given to verify the effectiveness of the proposed mobile control policy.