The Equalibrium Points of Control Systems with Single Saturate Input under Commuting Matrices

Acta Scientiarum Naturalium Universitatis Pekinensis

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The Equalibrium Points of Control Systems with Single Saturate Input under Commuting Matrices

GUO Shuli，HUANG Lin，CHU Tianguang

Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871

Received:2000-11-21 Online:2002-01-20 Published:2002-01-20

在状态阵可交换下单输入饱和系统的平衡点的判别

郭树理,黄琳,楚天广

北京大学力学与工程科学系，系统与控制中心，北京，100871

Abstract

Abstract: The equilibrium points of control systems with saturated inputs are defined. Based on these definitions, all kinds of the equilibrium points are analyzed in control systems with single saturated input. By the above facts, it is necessary in analyzing globally asymptotical stability of the origin that the other asymptotical stability equilibrium points are false ones.

Key words: single saturated input, true equilibrium points, false equilibrium points, commuting matrices, stability, asymptotical stability

摘要： 首先引入了饱和系统平衡点的分类。在此基础上，论证了单饱和输入下，开环，闭环均稳定或其一稳定时的平衡点的分布规律及判别准则；最后指出，当原点全局渐近稳定时，其余非零稳定平衡点均为伪平衡点的必要性。

关键词: 单饱和输入, 真平衡点, 伪平衡点, 可交换, 稳定, 渐近稳定

CLC Number:

O317

GUO Shuli,HUANG Lin,CHU Tianguang. The Equalibrium Points of Control Systems with Single Saturate Input under Commuting Matrices[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

郭树理,黄琳,楚天广. 在状态阵可交换下单输入饱和系统的平衡点的判别[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2002/V38/I1/30

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The Equalibrium Points of Control Systems with Single Saturate Input under Commuting Matrices

在状态阵可交换下单输入饱和系统的平衡点的判别

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