| 一种改进的饱和线性系统吸引域估计算法 |
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| 引用本文： | 王娟,刘志远,裴润,陈虹.一种改进的饱和线性系统吸引域估计算法[J].哈尔滨工业大学学报,2008,40(9):1370-1373. |
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| 作者姓名： | 王娟 刘志远 裴润 陈虹 |
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| 作者单位： | 1. 哈尔滨工业大学,控制科学与工程系,哈尔滨150001
2. 吉林大学,控制科学与工程系,吉林,长春,130025 |
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| 摘 要： | 为寻找一个能包含所有可能初始状态轨迹且使闭环系统稳定的最大椭球域来近似描述系统的吸引域,本文借助两个松弛矩阵,给出了保证椭球集是吸引域内不变集的充分条件.并结合LM I优化方法,获得了最大椭球集.最后通过一个算例表明了本文提出的吸引域估计方法具有较小的保守性.
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| 关 键 词： | 约束非线性系统 吸引域 不变集 稳定性 饱和 |
An improved method for estimating the domain of attraction for linear systems subject to actuator saturation |
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| WANG Juan,LIU Zhi-yuan,PEI Run,CHEN Hong.An improved method for estimating the domain of attraction for linear systems subject to actuator saturation[J].Journal of Harbin Institute of Technology,2008,40(9):1370-1373. |
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| Authors: | WANG Juan LIU Zhi-yuan PEI Run CHEN Hong |
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| Affiliation: | 1.Dept.of Control Science and Engineering,Harbin Institute of Technology,Harbin 150001,China;2.Dept.of Control Science and Engineering,Jilin University,Changchun 130025,China) |
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| Abstract: | The problem of attraction domain estimation for discrete systems subject to actuator saturation was investigated.To approximate the attraction domain more precisely,a largest ellipsoid set which contains state trajectories derived from all initial states and satisfies the closed-loop system stability was obtained.By introducing two slack matrices,the sufficient condition that guarantees the ellipsoid set to be invariable in attraction domain was presented.The greatest ellipsoid domain of attraction was obtained based on LMI.A numerical example demonstrates that estimation of the domain of attraction by above proposed methods was shown to be less conservative. |
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| Keywords: | constrained nonlinear systems domain of attraction invariant sets stability saturation |
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