%0 Journal Article
%T 一类饱和非有理系统状态反馈设计<br>State feedback design for a class of non-rational systems subject to actuator saturation
%A 王乃洲
%A 裴海龙
%A 王俊
%A 张谦
%J 控制理论与应用
%D 2015
%R 10.7641/CTA.2015.40293
%X 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.<br>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.
%K 执行器饱和 状态反馈 非线性系统 线性矩阵不等式 吸引域&lt
%K br&gt
%K actuator saturation state feedback nonlinear system linear matrix inequalities region of attraction
%U http://jcta.alljournals.ac.cn/cta_cn/ch/reader/view_abstract.aspx?file_no=CCTA140293&flag=1