| SISO多维控制系统的反馈镇定性及算法的数学机械化实现 |
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| 引用本文： | 李树荣.SISO多维控制系统的反馈镇定性及算法的数学机械化实现[J].系统科学与数学,2001,21(2):147-151. |
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| 作者姓名： | 李树荣 |
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| 作者单位： | 石油大学华东自动化系, |
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| 基金项目： | 国家基础研究发展规划项目及国家自然科学基金资助课题. |
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| 摘 要： | 从代数学的理想论以及代数簇理论，探讨了SISO多维控制系统的可反馈镇定条件，并给出反馈控制的表示.文中的主要结果建立在判定一个多变元多项式的零点集是否与由多项式刻画的凸集相交的前提之上，并用数学机械化方法实现了这一判定的过程.
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| 关 键 词： | 控制系统，反馈镇定，数学机械化 |
| 修稿时间： | 1997年11月11 |
ALGEBRAIC METHOD OF FEEDBACK STABILIZATION FOR n-D CONTROL SYSTEMS AND ITS IMPLEMENTATION VIA MATHEMATIC MECHANIZATION |
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| Li Shurong.ALGEBRAIC METHOD OF FEEDBACK STABILIZATION FOR n-D CONTROL SYSTEMS AND ITS IMPLEMENTATION VIA MATHEMATIC MECHANIZATION[J].Journal of Systems Science and Mathematical Sciences,2001,21(2):147-151. |
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| Authors: | Li Shurong |
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| Institution: | Department of Automation, University of Petroleum(East China) Shandong Dongying 257061,P.R.China |
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| Abstract: | In this paper, the feedback stabilization problem is discussed from the viewpoint of algebraic aspects. On the basis of the ideal and variety theory in algebra, the condition of feedback stabilization for a 1-D system or an n-D system is given. A constructive (mathematic- mechanization) method for obtaining the feedback controller and deciding whether a variety intersects an algebraic convex or not is also provided. |
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| Keywords: | Control system feedback stabilization mathematic mechanization |
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