| 严格耗散广义系统的鲁棒性分析与控制 |
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| 引用本文： | 李秀英,邢伟.严格耗散广义系统的鲁棒性分析与控制[J].系统工程与电子技术,2006,28(8):1221-1224. |
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| 作者姓名： | 李秀英 邢伟 |
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| 作者单位： | 1. 通化师范学院数学系,吉林,通化,134002;东北大学理学院,辽宁,沈阳,110006
2. 通化师范学院数学系,吉林,通化,134002 |
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| 基金项目： | 辽宁省骨干教师基金资助课题 |
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| 摘 要： | 考虑不确定广义系统的鲁棒耗散性分析与控制,其中各不确定参数矩阵具有线性分式形式。针对确定广义系统建立耗散性与正实性之间的等价关系,将不确定广义系统的鲁棒耗散性分析与控制转化为确定广义系统的耗散性分析与控制,利用线性矩阵不等式,给出了不确定广义系统鲁棒严格耗散的充要条件及状态反馈鲁棒严格耗散控制器的设计方法。通过一个数值算例说明所给设计方法的有效性。
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| 关 键 词： | 广义系统 耗散控制 线性矩阵不等式 |
| 文章编号： | 1001-506X(2006)08-1221-04 |
| 修稿时间： | 2005年7月7日 |
Robust strict dissipativeness analysis and control for singular systems |
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| LI Xiu-ying,XING Wei.Robust strict dissipativeness analysis and control for singular systems[J].System Engineering and Electronics,2006,28(8):1221-1224. |
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| Authors: | LI Xiu-ying XING Wei |
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| Abstract: | The robust dissipative control problem for uncertain singular systems is considered where the uncertainties are expressed in a linear fractional form.Equivalence between dissipativeness and positive realness is established,and necessary and sufficient conditions are derived for singular systems to be strictly dissipative.The dissipative analysis and control of the uncertain singular systems are reduced to those of related systems without uncertainties.By means of linear matrix inequalities(LMIs),a sufficient and necessary condition that guarantees robust strict dissipativeness of uncertain singular systems is given,the state feedback controller is designed.Finally,a numerical example is given to demonstrate the effectiveness of the proposed approach. |
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| Keywords: | singular systems dissipativeness control linear matrix inequality |
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