基于动态事件触发机制的线性系统最优控制  

Optimal Control for Linear Systems Based on Dynamic Event-triggered Mechanism

作　　者：陈浩浩 樊渊[1] CHEN Hao-hao;FAN Yuan(School of Electrical Engineering and Automation,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学电气工程与自动化学院,安徽合肥230601

出　　处：《控制工程》2020年第10期1820-1827,共8页Control Engineering of China

基　　金：国家自然科学基金(61973002);安徽省自然科学基金(2008085J32)。

摘　　要：相对于传统的采样控制,事件触发控制可认为是一种非均匀的采样控制方法。结合最优控制理论,研究了线性系统基于事件触发采样机制的线性二次型(Linear Quadratic Regulator, LQR)最优控制器设计方法。首先,给定使得系统从初始状态到达平衡点的最小性能指标通过极小值原理求解系统的最优反馈控制律;其次,结合输入到状态稳定(Input-to-state Stability, ISS)给出了使得闭环系统渐近稳定的触发条件;再次,引入了动态事件触发条件以进一步减少采样次数。最后,仿真结果表明,在相同条件下,所提出的最优事件触发控制与传统的采样控制相比,能极大减少信息传输次数,从而在一些实际系统中有望节约通信和计算资源。Compared with traditional sampling control, event-triggered control can be considered as a non-uniform sampling control method. Combining with the optimal control theory, the design method of linear quadratic regulator(LQR) optimal control for linear systems based on event-triggered sampling mechanism is studied. Firstly, by setting the minimum performance index which makes the system reach the equilibrium point from the initial state, the optimal feedback control law of the system is obtained on basis of the minimum principle. Secondly, the triggering conditions for the closed-loop system to be asymptotically stable are given by combining the input-to-state stability(ISS). Thirdly, the dynamic event-triggered mechanism is introduced to further reduce sampling times. Finally, the simulation results show that under the same conditions, the proposed event-triggered optimal control can greatly reduce the number of information transmission, thus communication and computing resources will be saved in some practical systems.

关 键 词：最优控制 事件触发 动态事件触发 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]