基于学习及演算子理论的非线性系统控制方法综述  

Survey of A New Nonlinear Control Technique based on Learning and Operator Theory

作　　者：步妮[1] 邓明聪[2] BU Ni;DENG Mingcong(College of Automation and Electronic Engineering,Qingdao University of Science and Technology,Qingdao 266061,China;Department of Electrical and Electronic Engineering,Tokyo University of Agriculture and Technology,Tokyo 184-8588,Japan)

机构地区：[1]青岛科技大学自动化与电子工程学院,山东青岛266061 [2]东京农工大学电气电子工学科,日本东京184-8588

出　　处：《控制工程》2023年第8期1408-1418,共11页Control Engineering of China

摘　　要：基于演算子理论的鲁棒右互质分解(operator-based robust right coprime factorization,ORRCF)方法可以有效地处理非线性系统的鲁棒镇定和跟踪问题。首先,简述本方法相关的概念和定义。其次,基于利普希茨范数、同构思想和无源性控制方法讨论了此方法在非线性系统的鲁棒稳定、鲁棒分解和无源性方面的主要结果。再次,基于指数迭代定理、内模控制方法和滑模控制方法分别讨论了非线性的跟踪、鲁棒容错跟踪和自适应跟踪问题。最后,介绍此方法的实际应用,从而进一步证明其有效性。The operator-based robust right coprime factorization(ORRCF)method is effective to deal with the robust stabilization and tracking of nonlinear systems.Firstly,the relevant concepts and definitions of this method is briefly introduced.Secondly,based on the Lipschitz norm,isomorphism and passivity-based control method,the main results on robustness,robust factorization and passivity for the nonlinear system is respectively discussed.Thirdly,the output tracking,robust tolerant tracking and the adaptive tracking performance is separately ensured by combining with the exponential iteration theorem,internal mode control and sliding mode control method.Finally,the real applications by using ORRCF method are given to show the effectiveness of the proposed methods.

关 键 词：演算子理论 非线性系统 鲁棒右互质分解 同构 无源性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]