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
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作者单位:

1.江南大学;2.泰州学院;3.泰山学院

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TP273

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Stabilization Control for a class of Distributed Parameter Systems with Time-Delay based on Mobile Sensor and Actuator Networks
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1.Jiangnan University;2.Taizhou University

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    摘要:

    采用一类具有状态时滞的分布参数系统来描述移动传感器/执行器网络模型, 并在模型中加入扰动因子; 考虑移动传感器/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便于问题的解决; 再利用算子半群理论, 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, 并且系统在移动控制力的作用下是渐近稳定的; 最后, 通过数值仿真实验说明文中所设计控制策略的有效性.

    Abstract:

    A class of distributed parameter system with state delay is used to describe the mobile sensor/actuator network model, and the disturbance factor is added to the model. Considering the dynamic behavior of the mobile sensor/actuator, how to design the feedback controller and the mobile control force when the system is disturbed have been studied. Firstly, the infinite-dimensional abstract evolution equation theory is employed to evolve the equation of the time-delay distributed parameter system in space; Secondly, making reasonable assumptions in combination with practical engineering applications to facilitate the problems solving reasonably; Thirdly, 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.

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历史
  • 收稿日期:2019-09-16
  • 最后修改日期:2021-03-07
  • 录用日期:2019-12-31
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