| 驻留概率信息方法的离散切换系统鲁棒H∞控制 |
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| 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. |
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| 作者姓名： | 袁月华 岳东 田恩刚 |
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| 作者单位： | 南京师范大学,华中科技大学,南京师范大学 |
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| 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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| 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.
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| 关 键 词： | 驻留概率 切换系统 Lyapunov泛函 鲁棒H∞控制 |
| 收稿时间： | 2013/2/21 0:00:00 |
| 修稿时间： | 9/6/2013 12:00:00 AM |
Robust H-infinity control for discrete switched systems by using sojourn-probability-dependent method |
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| YUAN Yue-hu,YUE Dong and TIAN En-gang.Robust H-infinity control for discrete switched systems by using sojourn-probability-dependent method[J].Control Theory & Applications,2014,31(2):175-180. |
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| Authors: | YUAN Yue-hu YUE Dong and TIAN En-gang |
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| Affiliation: | Nanjing Normal University,Huazhong University of Science and Technology,Nanjing Normal University |
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| Abstract: | 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. |
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| Keywords: | sojourn probability switched systems Lyapunov functional robust H-infinity control |
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