Finite-time stability and stabilization for a class of quadratic discrete-time systems

被引：0
作者：
Feng, Zhi-Hui [1 ,2 ]
Deng, Fei-Qi [1 ]
Liu, Wen-Hui [1 ]
机构：
[1] School of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, Guangdong
[2] Guangzhou Institute of Standardization, Guangzhou, 510050, Guangdong
来源：
Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science) | 2015年 / 43卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; Linear matrix inequality; Quadratic discrete-time system; State feedback;
D O I：
10.3969/j.issn.1000-565X.2015.01.002
中图分类号：
学科分类号：
摘要：
In practice, finite-time stability of systems is more practical and economical than the traditional stability due to costs and other constraints. This paper studies the finite-time stability and stabilization for a class of quadratic discrete-time systems. By means of linear matrix inequality, the design of feedback control gain matrix is converted into the solutions for linear matrix inequalities. Moreover, sufficient conditions for the finite-time stability of closed-loop systems with state feedback are determined, and a method to design the feedback control gain matrix is proposed to achieve the finite-time stability of systems. This method is also suitable to deal with the finite-time boundedness of systems with exogenous disturbance. Finally, numerical examples are used for validation. The consistency of simulation and theoretical analysis results proves the feasibility of the proposed method. ©, 2015, South China University of Technology. All right reserved.
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页码：9 / 14
页数：5
相关论文
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