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| 线性系统的间歇观测器设计 | |
| 引用本文： | 黄敢基,罗世贤,钟佳成. 线性系统的间歇观测器设计[J]. 广西科学, 2015, 22(4): 425-429,437 |
| 作者姓名： | 黄敢基 罗世贤 钟佳成 |
| 作者单位： | 广西大学数学与信息科学学院, 广西南宁 530004,广西大学数学与信息科学学院, 广西南宁 530004,广西大学数学与信息科学学院, 广西南宁 530004 |
| 基金项目： | 国家自然科学基金项目(61164016),广西自然科学基金重点项目(2013GXNSFDA019003),广西自然科学基金项目(2011GXNSFA018141)和广西大学自然科学基金项目(XJZ110626)资助。 |
| 摘 要： | 考虑到间歇控制是一类特殊的切换控制,提出基于时变切换Lyapunov函数的间歇观测器设计方法,并进行数值验证。采用时变切换Lyapunov函数分析相应误差系统的稳定性,得到观测器收敛的充分条件,通过求解相应的线性矩阵不等式得到观测器增益矩阵,且数值算例验证所提方法是有效的。 |
| 关 键 词： | 线性系统 间歇观测器 切换Lyapunov函数 指数稳定性 |
| 收稿时间： | 2015-03-10 |
| 修稿时间： | 2015-04-10 |
Intermittent Observer Design for Linear Systems |
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| HUANG Gan-ji,LUO Shi-xian and ZHONG Jia-cheng. Intermittent Observer Design for Linear Systems[J]. Guangxi Sciences, 2015, 22(4): 425-429,437 | |
| Authors: | HUANG Gan-ji LUO Shi-xian ZHONG Jia-cheng |
| Affiliation: | College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China,College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China and College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China |
| Abstract: | In view of the characteristics that a dynamical system under intermittent control can be viewed as a switched control system, a method based on time-varying switching Lyapunov function is developed for the intermittent observer design, of which numerical validation is carried out. Some sufficient conditions for observer convergence are derived by using time-varying switching Lyapunov function to analyze the stability of the error system, and the gain matrix of the observer can be obtained by solving a set of linear matrix inequalities (LMI). A numerical example is provided to illustrate the validity of the proposed method. |
| Keywords: | linear system intermittent observer switched Lyapunov functions exponential stability |
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