| 引用本文： |
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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. [点击复制]
- HUANG Gan-ji,LUO Shi-xian,ZHONG Jia-cheng.Intermittent Observer Design for Linear Systems[J].Guangxi Sciences,2015,22(4):425-429,437. [点击复制]
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| 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 |
| DOI： |
| 投稿时间：2015-03-10修订日期：2015-04-10 |
| 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。 |
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| Intermittent Observer Design for Linear Systems |
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HUANG Gan-ji, LUO Shi-xian, ZHONG Jia-cheng
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| (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. |
| Key words: linear system intermittent observer switched Lyapunov functions exponential stability |
