含非线性项的不确定离散切换系统的容错控制

J4 ›› 2010, Vol. 45 ›› Issue (5): 52-57.

含非线性项的不确定离散切换系统的容错控制

牛艳艳,邢伟

东北大学理学院系统科学研究所, 辽宁沈阳 110004

收稿日期:2009-11-30 出版日期:2010-05-16 发布日期:2010-05-24
作者简介:牛艳艳(1985-),女,硕士研究生,主要研究方向为切换系统的容错控制.Email: niuyanyan1007@163.com
基金资助:
国家自然科学基金资助项目(60974004)

Faulttolerant control for uncertain discrete-time switched systems with nonlinear term

NIU Yan-yan, XING Wei

Institute of Systems Science, College of Sciences, Northeastern University, Shenyang 110004, Liaoning, China

Received:2009-11-30 Online:2010-05-16 Published:2010-05-24

摘要/Abstract

摘要：

针对一类不确定非线性离散切换系统,利用Lyapunov函数和线性矩阵不等式（linear matrix inequality, LMI）,研究当执行器失效或部分失效时状态反馈容错控制器存在的充分条件。首先对闭环系统的渐近稳定性进行研究;然后运用LMI将控制器的求解问题转化为一组LMI的可行解问题;最后给出了数值算例验证所得结论的有效性。

关键词: 切换系统;非线性项;容错控制;执行器失效;线性矩阵不等式

Abstract:

The fault-tolerant control for a class of uncertain nonlinear discrete-time switched systems was studied. When the actuator was totally or partly out of control, a sufficient condition for the existence of state feedback fault-tolerant controllers was obtained by using the Lyapunov function and linear matrix inequality (LMI).First the asymptotical stability was studied for the closed-loop system.Then by means of the LMI, the design of fault-tolerant controllers was transformed into the feasible problem of a certain LMI system. A numerical example was given to show the feasibility of the results.

Key words: switched system; nonlinear term; fault-tolerant control; actuator out of control; linear matrix inequality

牛艳艳,邢伟. 含非线性项的不确定离散切换系统的容错控制[J]. J4, 2010, 45(5): 52-57.

NIU Yan-yan, XING Wei. Faulttolerant control for uncertain discrete-time switched systems with nonlinear term[J]. J4, 2010, 45(5): 52-57.

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