| 广义不确定系统鲁棒稳定性及鲁棒镇定的矩阵不等式方法 |
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| 引用本文： | 徐胜元,杨成梧.广义不确定系统鲁棒稳定性及鲁棒镇定的矩阵不等式方法[J].自动化学报,2000,26(1):132-135. |
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| 作者姓名： | 徐胜元 杨成梧 |
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| 作者单位： | 1.南京理工大学动力工程学院,南京 |
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| 基金项目： | 南京理工大学科研发展基金 |
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| 摘 要： | 考虑广义不确定系统的鲁棒稳定性及鲁棒镇定问题.提出了广义不确定系统'广义二
次稳定'及'广义二次可镇定'的概念,利用矩阵不等式,分别得到了所考虑广义不确定系统广义
二次稳定及广义二次可镇定的充要条件,而且,使广义不确定系统鲁棒镇定的状态反馈控制律
的设计可通过求解一给定的矩阵不等式而得到.
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| 关 键 词： | 广义不确定系统 广义二次稳定 广义二次可镇定 矩阵不等式 |
| 收稿时间： | 1998-4-7 |
| 修稿时间： | 1998-04-07 |
A MATRIX INEQUALITIES APPROACH TO THE ROBUST STABILITY AND ROBUST STABILIZATION FOR UNCERTAIN GENERALIZED SYSTEMS |
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| XU Shengyuan,YANG Chengwu.A MATRIX INEQUALITIES APPROACH TO THE ROBUST STABILITY AND ROBUST STABILIZATION FOR UNCERTAIN GENERALIZED SYSTEMS[J].Acta Automatica Sinica,2000,26(1):132-135. |
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| Authors: | XU Shengyuan YANG Chengwu |
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| Affiliation: | 1.School of Power Engineering,Nanjing University of Science and Technology,Nanjing |
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| Abstract: | In this paper, the problems of robust stability and robust stabilization for
uncertain generalized systems are considered. The concepts of 'generalized quadratic
stability' and 'generalized quadratic stabilizability' for uncertain generalized systems
are proposed. In terms of matrix inequalities, necessary and sufficient conditions
under which the considered system is robustly stable and robustly stabilizable
are derived respectively. Furthermore, the robust stabilizing state feedback control
law can be designed by finding a solution to a given matrix inequality. |
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| Keywords: | Uncertain generalized systems generalized quadratic stability genera lized quadratic stabilization matrix inequalities |
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