基于移动传感器/执行器网络的时滞分布参数系统镇定控制

考虑一类基于移动传感器/执行器网络具有状态时滞的分布参数系统,在系统中加入扰动因子,分析移动传感器/执行器的动力学行为,研究系统出现扰动时如何设计反馈控制器和移动控制力.首先利用无穷维抽象发展方程理论将时滞分布参数系统在Hilbert空间中进行方程演变;其次,结合工程实际应用进行合理的假设以便于问题的解决;接着利用算子半群理论,通过Lyapunov稳定性定理证明系统的状态在反馈控制器的作用下能够趋于稳态,且系统在移动控制力的作用下渐近稳定;最后,通过数值仿真实验表明所设计控制策略的有效性.

Stabilization control for a class of distributed parameter systems with time-delay based on mobile sensor and actuator networks

This paper considers a class of distributed parameter systems with state delay based on the mobile sensor/actuator networks, combined with the disturbance factor added to the system. We analyze the dynamic behavior of the mobile sensor/actuator, design the feedback controller and the mobile control force. Firstly, the infinite-dimensional abstract evolution equation theory is employed to evolve the equation of the time-delay distributed parameter system in the Hilbert space. Then, reasonable assumptions are made in combination with practical engineering applications to facilitate the problems solving reasonably. Furthermore, the Lyapunov stability theorem and the operator semigroup theory are applied to prove that the state of the system can approach stable in the feedback controller, and the system is asymptotic under the action of the mobile control force. Finally, the effectiveness of the proposed control strategy is verified by numerical simulation experiments.