| 引用本文： |
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刘利军,陈武华,卢小梅.一类非线性系统的非周期间歇H∞同步[J].广西科学,2016,23(4):366-373. [点击复制]
- LIU Lijun,CHEN Wuhua,LU Xiaomei.Aperiodically Intermittent H∞ Synchronization for a Class of Nonlinear System[J].Guangxi Sciences,2016,23(4):366-373. [点击复制]
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| 摘要: |
| 基于H∞控制理论研究一类非线性系统的间歇H∞同步问题.针对间歇控制具有切换控制的特征,通过构造时变切换的Lyapunov函数并结合凸组合技术,分析误差系统的稳定性和L2-增益性能;基于线性矩阵不等式技术,设计非周期间歇H∞同步控制器;用数值例子验证所提出方法的有效性.与以往结果相比,本文提出的间歇控制窗口宽度和休息窗口宽度是可变的,即非周期间歇控制,而且新提出的Lyapunov函数在闭环和开环模式上都是非增的,保证同步误差系统是内指数稳定并且具有规定L2-增益. |
| 关键词: 非线性系统 切换Lyapunov函数 H∞同步 间歇控制 |
| DOI：10.13656/j.cnki.gxkx.20160913.003 |
| 投稿时间：2016-05-25 |
| 基金项目:国家自然科学基金项目(61573111)和广西自然科学基金重点项目(2013GXNSFDA019003,2015GXNSFAA139003)资助。 |
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| Aperiodically Intermittent H∞ Synchronization for a Class of Nonlinear System |
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LIU Lijun, CHEN Wuhua, LU Xiaomei
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| The external disturbances are inevitable in the synchronization process.In this paper, the H∞ synchronization problem for a class of nonlinear system is investigated via intermittent control based on the H∞ control theory.Different from the previous results,the control and rest window width are variable in this paper,that is aperiodically intermittent control.Owing to the switching characteristics of intermittent control,a switching-time-various Lyapunov function combined with the convex combination technique is applied to analyze the stability and L2-gain performance of error system.It is worth mentioning that the Lyapunov function proposed in this paper is non-increasing in the closed-model and open-model.By linear matrix inequality technique,the aperiodically intermittent H∞ synchronization feedback controller is presented,which can ensure the internally exponential stability and have a prescribed L2-gain.Finally,a numerical example demonstrates the effectiveness of the obtained results. |
| Key words: nonlinear systems switching Lyapunov function H∞ synchronization intermittent control |
