Stability analysis for linear discrete-time systems subject to actuator saturation

被引：6
作者：
Ma Y. [1 ,2 ]
Yang G. [2 ,3 ]
机构：
[1] College of Science, Yanshan University
[2] College of Information Science and Engineering, Northeastern University
[3] Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeastern University
来源：
Journal of Control Theory and Applications | 2010年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Actuator saturation; Estimation of domain of attraction; Linear systems; LMIs;
D O I：
10.1007/s11768-010-7261-9
中图分类号：
学科分类号：
摘要：
In this paper, stability of discrete-time linear systems subject to actuator saturation is analyzed by combining the saturation-dependent Lyapunov function method with Finsler's lemma. New stability test conditions are proposed in the enlarged space containing both the state and its time difference which allow extra degree of freedom and lead to less conservative estimation of the domain of attraction. Furthermore, based on this result, a useful lemma and an iterative LMI-based optimization algorithm are also developed to maximize an estimation of domain of attraction. A numerical example illustrates the effectiveness of the proposed methods. © 2010 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：245 / 248
页数：3
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