一类活动边界分布参数系统的移动控制策略

Mobile control strategies for a class of distributed parameter systems with moving boundaries

针对一类具有活动边界的分布参数系统,考虑移动传感器/执行器的动力学行为,研究其移动控制问题.考虑并列的传感器/执行器,通过传感器对系统的状态进行测量并将测量值传递给执行装置中的控制器.根据传感器之间不同的信息传递方式分别设计相应的控制器,基于无穷维抽象发展方程理论和Lyapunov方法得到相应的移动控制策略,并证明所提出的移动控制策略与系统的活动边界之间的关系.最后通过仿真结果验证所提出策略的有效性.

A mobile control problem is studied for a class of distributed parameter systems with moving boundaries under the condition of dynamic behaviors of mobile sensors/actuators. The collocated sensor/actuator networks are considered,the measurements of the systems are obtained by sensors and are dispensed to controllers which are equipped on actuating devices. Appropriate controllers are designed according to different modes of messaging of the sensors. A corresponding mobile strategy of the sensor/actuator is presented based on the infinite dimensional abstract evolution equation theory and the Lyapunov＇s method. Furthermore, the relations between the proposed mobile policy and the moving boundary are proven. Simulation results show that the proposed policy is effective.