Improved Control of Distributed Parameter Systems with Time-Varying Delay Based on Mobile Actuator-Sensor Networks

Abstract This paper investigates the control problem of distributed parameter systems (DPS) with time-varying delay by employing mobile actuator-sensor networks. It is assumed that each agent in the networks has a sensor device which can measure spatial state, and an actuator device that can dispense control signals to spatially distributed process and can communicate with its neighbors. To better control the DPS with time-varying delay, the strategy how to navigate the agents is considered. By constructing Lyapunov functionals and using inequality analysis, criterias for stability of the DPS with time-varying delays are derived. Meanwhile, the guidance scheme of every agent with augmented vehicle dynamics is derived. Simulation results show that such mobile actuator-sensor networks can improve the control performance of the DPS with time delay.

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