多模型混合H_∞型鲁棒控制  

Multi-models mixing H-infinity theory robust control

作　　者：陈登乾 王昕[2] 王振雷 CHEN Deng-qian;WANG Xin;WANG Zhen-lei(Key Laboratory of Advanced Control and Optimization for Chemical Processes,Ministry of Education East China University of Science and Technology,Shanghai 200237,China;Center of Electrical&Electronic Technology,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]华东理工大学化工过程先进控制和优化技术教育部重点实验室,上海200237 [2]上海交通大学电工与电子技术中心,上海200240

出　　处：《控制理论与应用》2018年第8期1074-1082,共9页Control Theory & Applications

基　　金：国家自然科学基金项目(61673268);国家自然科学基金面上项目(21376077);国家自然科学基金优秀青年基金项目(61422303);上海市"科技创新行动计划"研发平台建设项目(13DZ2295300);上海市自然科学基金项目(14ZR1421800);流程工业综合自动化国家重点实验室开放课题基金项目(PAL–N201404)资助~~

摘　　要：基于多模型控制器设计方法中需要建立大量离线子模型,导致计算负担过大的问题,本文提出基于H_∞理论的多模型混合鲁棒控制器设计方法.该方法首先对参数变化区间进行分解,根据得到的子区间建立子模型,从而获得多模型集.然后依据理论设计子模型鲁棒控制器,具有良好的抗干扰性,并能有效地减少子模型数量;其次,针对各鲁棒控制器,设计混合信号实现混合输出,可以很好地解决切换多模型控制中存在的持续切换问题.最后,对本文所提方法进行仿真和聚合釜温度系统的应用研究,结果表明当被控对象参数存在不确定性和存在输入扰动的时候,该方法可以在较少子模型数量的前提下保证系统具有良好的鲁棒性.To solve the problem that leads to establish a large number of off-line sub-model and increase computational burden obviously because of the traditional methods of controller design,a new idea that means controllers design of multi-models mixing control based on H-infinity control theory is proposed.Firstly,the variable parametric interval is decomposed,then the model set are established according to the sub intervals.Secondly,according to the H-infinity theory the robust sub-controllers are designed,so this method own good anti-disturbance performance,and can effectively reduce the number of sub-models;Next the control output of the object is obtained by mixing the mixing signal and the output of robust sub-controllers,which can deal with the continuous switching problem of multi model switching control.Finally,numerical simulation and the polymerization kettle temperature system are researched on the basis of the proposed method.The results indicate that when the controlled object have the features of uncertain parameters and input disturbances,the method can guarantee excellent robustness under the condition of a less number of sub-models

关 键 词：多模型 混合 H∞理论 鲁棒性 聚合釜 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]