基于事件触发优化的鲁棒H_(∞)控制  

Robust H_(∞) Control Based on Event-triggered Optimization

作　　者：陆佳杰 樊渊[1] 刘天龙 LU Jia-jie;FAN Yuan;LIU Tian-long(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》2021年第4期751-758,共8页Control Engineering of China

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

摘　　要：针对线性系统,研究事件触发优化机制下的鲁棒H_(∞)控制。首先,在时间触发和事件触发机制下,给出系统优化性能指标,设计优化控制器。接着,考虑基于事件触发优化机制下的鲁棒H_(∞)控制,当外部干扰为零时,给出线性系统渐近稳定性的证明;当外部干扰不为零时,推导得到系统具有给定H_(∞)干扰抑制水平γ。然后,分析线性系统的Zeno行为,通过推导给出一个正的最小触发时间间隔来保证系统不会存在Zeno行为。最后,通过系统仿真验证算法的有效性。For linear systems, the robust H_(∞) control under the event-triggered optimization mechanism is studied. Firstly, under the time-triggered and event-triggered mechanism, the system optimization performance index is given and the optimization controller is designed. Then,robust H_(∞) control based on the event-triggered optimization mechanism is considered. When the external interference is zero, the proof of the asymptotic stability of the linear systems is given. When the external interference is not zero, it is derived that the system has a given interference suppression level γof H_(∞) control. Then, the Zeno behavior of the linear system is analyzed, and a positive minimum trigger time interval is given by derivation to ensure that there is no Zeno behavior in the system. Finally, the effectiveness of the algorithm is verified by system simulation.

关 键 词：事件触发控制 优化控制 鲁棒H_(∞)控制 Zeno行为 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]