引用本文: | 袁月华,岳东,田恩刚.驻留概率信息方法的离散切换系统鲁棒H∞控制[J].控制理论与应用,2014,31(2):175~180.[点击复制] |
YUAN Yue-hua,YUE Dong,TIAN En-gang.Robust H-infinity control for discrete switched systems by using sojourn-probability-dependent method[J].Control Theory and Technology,2014,31(2):175~180.[点击复制] |
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驻留概率信息方法的离散切换系统鲁棒H∞控制 |
Robust H-infinity control for discrete switched systems by using sojourn-probability-dependent method |
摘要点击 2629 全文点击 2288 投稿时间:2013-02-21 修订日期:2013-09-06 |
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DOI编号 10.7641/CTA.2014.30131 |
2014,31(2):175-180 |
中文关键词 驻留概率 切换系统 Lyapunov泛函 鲁棒H∞控制 |
英文关键词 sojourn probability switched systems Lyapunov functional robust H-infinity control |
基金项目 国家自然科学基金资助项目(61273115); 江苏省自然科学基金资助项目(BK2012847). |
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中文摘要 |
本文通过驻留概率信息的方法, 研究了一类离散时间切换系统的鲁棒H∞控制问题. 通过对切换系统在每
个子系统的驻留概率信息加以利用, 建立一种新的切换系统模型. 通过共同Lyapunov泛函方法, 给出切换系统的鲁
棒H∞随机稳定的充分条件. 然后, 利用锥补线性化的方法得到控制器增益. 最后, 通过仿真算例验证本文所用方法
的有效性. |
英文摘要 |
We propose a sojourn-probability-dependent method to investigate robust H-infinity control for a class of
discrete switched systems. A new type of switched system model is built by using the sojourn probability information. The
sufficient condition of robust H-infinity stochastic stability for switched systems is given via Lyapunov functional method.
Then, robust controller feedback gains are derived by using the cone complement linearization method. A numerical
example is given to demonstrate the effectiveness and applicability of the proposed method. |