基于观测器Lipschitz非线性系统鲁棒控制方法  

Control Method to Lipschitz Nonlinear Systems Based on Observer

作　　者：孙延修[1] SUN Yanxiu(Basic Course Department, Shenyang Institute of Technology, Fushun 113122, China)

机构地区：[1]沈阳工学院基础课部,辽宁抚顺113122

出　　处：《沈阳大学学报（自然科学版）》2021年第5期404-408,共5页Journal of Shenyang University：Natural Science

基　　金：辽宁省教育厅科学研究项目(L201906);沈阳工学院青年骨干教师科研基金资助项目(QN202009).

摘　　要：针对Lipschitz非线性系统的鲁棒控制问题进行研究,提出了一种基于状态观测器的鲁棒控制方法.设计了一种状态观测器,并基于观测器实现系统的鲁棒控制;考虑到系统中的非线性项,以线性矩阵不等式(LMI)的形式给出了状态观测器的存在性判据,状态反馈闭环系统渐近稳定的充分条件,避免了增益矩阵设计的盲目性;通过仿真算例验证了所提方法的有效性.The robust control of Lipschitz nonlinear systems was studied,a robust control method based on state observer was proposed.A state observer was designed,and the robust control of the system was realized based on the observer;considering the nonlinear term in the system,the existence criterion of state observer was given in the form of linear matrix inequality(LMI).The sufficient conditions for the asymptotic stability of the state feedback closed-loop system were given,which avoided the blindness of gain matrix design;a simulation example was given to verify the effectiveness of the proposed method.

关 键 词：观测器 鲁棒控制 非线性系统 线性矩阵不等式 状态反馈 增益矩阵 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]