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球形对象族的最优鲁棒镇定
引用本文:吕斌,伍清河,徐粒.球形对象族的最优鲁棒镇定[J].控制理论与应用,2010,27(11):1497-1503.
作者姓名:吕斌  伍清河  徐粒
作者单位:1. 北京理工大学自动控制系,北京,100081
2. 日本秋田县立大学系统科学技术学部,秋田,015-0055
基金项目:国家自然科学基金资助项目(69574003, 69904003); 国家部委预研基金资助项目(YJ0267016).
摘    要:本文对球形对象族系统最优鲁棒镇定问题进行了研究.利用最小范数解方法求解球形对象族的可镇定性半径.可镇定性半径是系统稳定性半径的上界,最优控制器的稳定性半径等于镇定性半径.文中给出球形对象族最优鲁棒控制器的形式,并通过示例具体说明球形对象族最优鲁棒控制器的设计方法.

关 键 词:球形对象族    可镇定性半径    稳定性半径    最优鲁棒控制器
收稿时间:2008/9/10 0:00:00
修稿时间:2009/12/16 0:00:00

Optimal robust stabilization for sphere plant family
LV Bin,WU Qing-he and XU Li.Optimal robust stabilization for sphere plant family[J].Control Theory & Applications,2010,27(11):1497-1503.
Authors:LV Bin  WU Qing-he and XU Li
Affiliation:Department of Automatic Control, Beijing Institute of Technology,Department of Automatic Control, Beijing Institute of Technology,Faculty of System Science and Technology, Akita Prefectural University
Abstract:This paper tackles the synthesis of the optimal robust controller for the sphere plant family. The stabilization radius of the sphere plant family determined by the minimum-norm solution approach is the upper bound of the stability radius. The optimal controller has a stability radius equal to the stabilization radius. This paper gives the form of the optimal controller and illustrates the procedures for synthesizing the optimal robust controller.
Keywords:sphere plant family  stabilization radius  stability radius  optimal robust controller
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