一类具输入时滞的分布参数系统移动控制

Mobile control of a class of distributed parameter systems with input delay

基于移动传感器/执行器网络,研究了一类具有输入时滞的分布参数系统稳定性控制问题。利用抽象发展方程理论、算子半群理论和Lyapunov稳定性定理,设计系统的反馈控制器;再结合移动传感器/执行器的动力学行为,设计其控制力。证明了在反馈控制器和控制力的作用下,分布参数系统在具输入时滞情况下是渐近稳定的。通过数值仿真实验表明,不同的输入时滞,对系统的稳定效果有一定的影响,但在控制力的作用下,系统都能趋于稳态,说明本文中对于具有输入时滞的分布参数系统的控制策略是有效的。

Based on the mobile sensor/actuator networks,the stability control of a class of distributed parameter systems with input delay is studied.The abstract development equation theory,operator semigroup theory and Lyapunov stability theorem are used to design the feedback controller of the systems;and the dynamic behavior of the mobile sensor/actuator is combined to design its control force.It is proved that the distributed parameter systems with input delay are asymptotically stable under the action of the feedback controller and the control force.Numerical simulation experiments show that the stability of the systems is affected by different input time delays,but the systems tend to be steady under the action of the control force,which indicates that the control strategy proposed in this paper is effective for this kind of distributed parameter systems with input delay.