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多变量周期系统的多模型二阶段自适应控制
引用本文:王岩,王昕,王振雷. 多变量周期系统的多模型二阶段自适应控制[J]. 控制理论与应用, 2021, 38(3): 391-397
作者姓名:王岩  王昕  王振雷
作者单位: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;上海交通大学电子信息与电气工程学院电工电子实验教学中心,上海200240
基金项目:国家重点研发计划项目(2018YFB1701103), 国家自然科学基金项目(61673268), 国家自然科学基金重大项目(61890930–3, 61590922), 上海市自然 科学基金项目(17ZR1406800)资助.
摘    要:对于一类参数未知的多变量周期系统,传统自适应控制方法存在参数收敛慢的问题,导致系统暂态响应差、控制效果不理想.因此,本文针对多变量周期系统设计了多模型二阶段自适应控制器.首先根据先验知识,确定不确定区域范围,并在不确定区域内建立多个自适应模型.然后根据李雅普诺夫理论得到第一阶段辨识方程;在第二阶段中,充分考虑辨识误差并...

关 键 词:多变量  周期系统  多模型  二阶段自适应
收稿时间:2020-05-04
修稿时间:2020-09-10

Multiple models second level adaptive control of multivariable periodic systems
WANG Yan,WANG Xin and WANG Zhen-lei. Multiple models second level adaptive control of multivariable periodic systems[J]. Control Theory & Applications, 2021, 38(3): 391-397
Authors:WANG Yan  WANG Xin  WANG Zhen-lei
Affiliation:Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology,Electrical and Electronic Experimental Teaching Center, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University,Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology
Abstract:For a class of multivariable periodic systems with unknown parameters, the traditional adaptive controlmethod has the problem of slow parameter convergence, which leads to poor transient response of the system and unsatisfactorycontrol effect. Therefore, a multiple models second level adaptive controller is designed for multivariable periodicsystems. Firstly, according to the prior knowledge, the range of the uncertain region is determined, and multiple adaptivemodels are built in the uncertain region. Secondly, the first level identification equation is obtained according to Lyapunovtheory. In the second level, the identification error is fully considered and the weight adaptive law is determined to obtainthe virtual model for improving the convergence rate of parameters. Then, a second level adaptive controller is designedby using the parameters of virtual model, which improves the transient performance of the system on the basis of ensuringthe stability of the system. Finally, the simulation results show that the multiple model second level adaptive controllerimproves the convergence rate of parameters and the transient performance of the system.
Keywords:multivariate   periodic system   multiple models   second level adaptive
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