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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 被引量:7

A MATRIX INEQUALITIES APPROACH TO THE ROBUST STABILITY AND ROBUST STABILIZATION FOR UNCERTAIN GENERALIZED SYSTEMS
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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。 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.
出处 《自动化学报》 EI CSCD 北大核心 2000年第1期132-135,共4页 Acta Automatica Sinica
基金 南京理工大学科研发展基金
关键词 广义不确定系统 鲁棒稳定性 鲁棒镇定 Uncertain generalized systems,generalized quadratic stability,genera lized quadratic stabilization,matrix inequalities.
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参考文献7

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