基于Lipschitz条件的一类非线性时滞广义系统观测器的设计  

Observer design for a class of nonlinear singular systems with time-delay based on Lipschitz condition

作　　者：孙延修[1] 黎虹[1] 潘斌[2] Sun Yanxiu;Li Hong;Pan Bin(Basic Course Department, Shenyang Institute of Technology, Fushun 113122, China;College of Science, Liaoning Shihua University, Fushun 113001, China)

机构地区：[1]沈阳工学院基础课部,辽宁抚顺113122 [2]辽宁石油化工大学理学院,辽宁抚顺113122

出　　处：《纯粹数学与应用数学》2019年第3期345-352,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(61602228,61572290)

摘　　要：针对一类满足 Lipschitz 条件的非线性时滞广义系统,讨论了系统观测器的设计问题.首先,通过对时滞广义系统的线性变换,将系统转化为易于求取观测器的形式;其次,将系统分两种情况分别设计出了相应的观测器,通过构造 Lyapunov 函数利用 Schur 补引理给出了观测器存在的充分条件;最后,给出一个数值算例,通过利用线性矩阵不等式(LMI)求解出了非线性时滞广义系统观测器的增益矩阵,验证了观测器设计方法的可行性.The observer design of the system is discussed for a class of nonlinear time delay generalized systems, which satisfy Lipschitz condition. Firstly, the system is transformed into a new form by linear transformation of the time-delay generalized system. Secondly, the system is divided into two cases and corresponding observer is designed, the sufficient conditions for the existence of the observer are given by constructing the Lyapunov function and using Schur complementary lemma. Finally, a numerical example and the gain matrix of the nonlinear time-delay generalized system observer are given, and the feasibility of the observer design method is verified by using the linear matrix inequality(LMI).

关 键 词：观测器 非线性广义系统 时滞 LYAPUNOV 函数 

分 类 号：O23[理学—运筹学与控制论]