| 基于谱技术的随机系统的区间输出反馈镇定控制 |
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| 引用本文： | 高明,盛立,张维海.基于谱技术的随机系统的区间输出反馈镇定控制[J].控制与决策,2012,27(7):1101-1104. |
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| 作者姓名： | 高明 盛立 张维海 |
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| 作者单位： | 1. 山东科技大学信息与电气工程学院,山东青岛,266590
2. 中国石油大学（华东）信息与控制工程学院,山东青岛,266555 |
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| 基金项目： | 国家自然科学基金项目(61174078);山东省自然科学基金项目(ZR2010FQ013,ZR2011FL025);教育部高等学校博士学科点专项基金项目(20103718110006,20103718120006);中央高校基本科研业务费专项基金项目(11CX04042A) |
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| 摘 要： | 基于谱技术研究了线性随机系统的区间稳定性与镇定控制问题.首先给出了保证随机系统区间稳定的充分性判据,该判据可确保随机系统的谱全部位于左半复平面的某一带状区域内;然后,利用矩阵的奇异值分解给出了静态输出反馈镇定控制器的设计方法,并将其归结为一组线性矩阵不等式（LMIs）的求解问题;最后,数值仿真验证了所得结论的正确性.
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| 关 键 词： | 随机系统 谱技术 区间稳定性与镇定 静态输出反馈控制 线性矩阵不等式 |
| 收稿时间： | 2010/12/7 0:00:00 |
| 修稿时间： | 2011/4/15 0:00:00 |
Interval output feedback stabilization control for stochastic systems based on spectrum technique |
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| GAO Ming,SHENG Li,ZHANG Wei-hai.Interval output feedback stabilization control for stochastic systems based on spectrum technique[J].Control and Decision,2012,27(7):1101-1104. |
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| Authors: | GAO Ming SHENG Li ZHANG Wei-hai |
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| Affiliation: | 1(1.College of Information and Electrical Engineering,Shandong University of Science and Technology,Qingdao 266590,China;2.College of Information and Control Engineering,China University of Petroleum(East China),Qingdao 266555,China.) |
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| Abstract: | The interval stability and stabilization problems for linear stochastic systems are investigated based on spectrum technique.Firstly,the sufficient condition for stochastic systems to be interval stable is derived,which means all spectra of stochastic systems cluster in vertical strips of the left-half plane.Then,the design of the static output feedback controller is presented by using singular value decomposition of matrices,and the design problem can be reduced to a set of linear matrix inequalities feasibility problem.Finally,a numerical example is given to show the correctness validity of the obtained results. |
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| Keywords: | stochastic systems spectrum technique interval stability and stabilization static output feedback control linear matrix inequality |
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