一类饱和非有理系统状态反馈设计(英文)  

State feedback design for a class of non-rational systems subject to actuator saturation

作　　者：王乃洲[1] 裴海龙[1] 王俊[2] 张谦[3] 

机构地区：[1]华南理工大学自主系统与网络控制教育部重点实验室,广东广州510640 [2]河南大学计算机与信息工程学院,河南开封475004 [3]广东第二师范学院计算机科学学院,广东广州510310

出　　处：《控制理论与应用》2015年第6期823-831,共9页Control Theory & Applications

基　　金：Supported by National Key Basic Research Program of China("973"program)(2014CB845301/2/3);National Natural Science Foundation of China(61174053);Specialized Research Fund for the Doctoral Program of Higher Education(20100172110023);partially by Key Laboratory of Autonomous Systems and Networked Control,Ministry of Education and 2013 Open Fund of Key Laboratory of Technology for Safeguarding of Marine Rights and Interests and Application,SOA(1214)

摘　　要：本文研究了一类饱和非有理系统状态反馈镇定问题.通过线性分式表示技术,这类非有理系统可以转化为带有两个非线性回路的线性时不变(linear time-invariant,LTI)系统.假设非有理函数项分别满足局部扇形区间不等式以及局部Lipschitz条件,提出了两种基于LMI条件的镇定方法.最后,举例证明了所提出方法的有效性.This paper focuses on the stabilization of a class of non-rational systems subject to actuator saturation.In particular,by using the linear-fractional representation（LFR） technique,the non-rational system is transformed into a linear time-invariant（LTI） system with two additional feedback loops between nonlinear terms.Assuming that the non-rational term is locally sector-bounded or locally Lipschitz,we propose two kinds of LMI-based synthesis conditions.Finally,a numerical example illustrates the effectiveness of the proposed approaches.

关 键 词：执行器饱和 状态反馈 非线性系统 线性矩阵不等式 吸引域 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]