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离散饱和线性反馈系统的分析设计
引用本文:魏爱荣,赵克友.离散饱和线性反馈系统的分析设计[J].系统工程学报,2005,20(5):516-519.
作者姓名:魏爱荣  赵克友
作者单位:[1]山东大学南校区控制科学与工程学院,山东济南250061 [2]青岛大学自动化学院,山东青岛266071
基金项目:国家自然科学基金资助项目(60174040).
摘    要:研究了状态反馈控制饱和单输入离散系统和动态输出反馈单输出饱和离散系统的稳定性,给出了这两类系统是全局渐近稳定还是区域渐近稳定的充分性条件,且对区域渐近稳定的情况计算其不变吸引椭球,对控制饱和系统,运用Ricatti方程迭代法设计控制器以使所得椭球尽量大;最后用算例说明方法的有效性.

关 键 词:执行器饱和  输出饱和  稳定性  吸引域
文章编号:1000-5781(2005)05-0516-04
收稿时间:2004-06-07
修稿时间:2004-06-072005-07-06

Analysis and design for discrete-time linear systems subject to saturation by linear feedback
WEI Ai-rong, ZHAO Ke-you.Analysis and design for discrete-time linear systems subject to saturation by linear feedback[J].Journal of Systems Engineering,2005,20(5):516-519.
Authors:WEI Ai-rong  ZHAO Ke-you
Affiliation:1. School of Control Science and Engineering, Shandong University, Jinan 250061, China; 2. School of Automation Engineering, Qingdao University, Qingdao 266071, China
Abstract:To discuss the stability for a state-feedback single-input discrete-time system subject to actuator saturation and a dynamic output-feedback single-output discrete-time system with output saturation,the paper presents a sufficient condition which guarantees the two systems are global-asymptotic-stabilization(GAS) or regional-asymptotic stabilization(RAS),calculates an invariant attractive ellipsoid for the case of RAS,gives an iterative Ricatti equation algorithm to find such a controller that supports an ellipsoid as large as possible for the system with actuator saturation.At last,this paper illustrates the effectiveness of our approach with example.
Keywords:actuator saturation  output saturation  stability  domain of attraction
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