REGULARIZATION OF SINGULAR SYSTEMS BY OUTPUT FEEDBACK

De-lin Chu; Da-yong Cai 20f

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REGULARIZATION OF SINGULAR SYSTEMS BY OUTPUT FEEDBACK

机译：通过输出反馈调节奇异系统

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Problem of regularization of a singular system by derivative and proportional output feedback is studied. Necessary and sufficient conditions are obtained under which a singular system can be regularized into a closed-loop system that is regular and of index at most one. The reduced form is given that can easily explore the system properties as well as the feedback to be determined. The main results of the present paper are based on orthogonal transformations. Therefore, they can be implemented by numerically stable ways.

机译：研究了通过导数和比例输出反馈对奇异系统进行正则化的问题。获得了必要的和充分的条件，在此条件下，奇异系统可以正则化为规则的且索引最大为1的闭环系统。给出的简化形式可以轻松探索系统属性以及待确定的反馈。本文的主要结果是基于正交变换。因此，它们可以通过数值稳定的方式实现。

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《Journal of Computational Mathematics》 |2000年第1期|p.43-60|共18页
作者
De-lin Chu; Da-yong Cai 20f;
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正文语种 eng
中图分类计算数学;
关键词
Regularization; Singular systems; Output feedback;

机译：正则化;单一系统;输出反馈;

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专利

1. On regularizing singular systems by decentralized output feedback [J] . Wang D., Soh C.B. IEEE Transactions on Automatic Control . 1999,第1期

机译：通过分散的输出反馈对奇异系统进行正则化
2. On regularizing singular systems by decentralized output feedback [J] . Wang D., Soh C.B. IEEE Transactions on Automatic Control . 1999,第1期

机译：通过分散的输出反馈对奇异系统进行正则化
3. Regularization of singular systems by derivative and proportional output feedback [J] . Chu DL., Ho DWC., Chan HC. SIAM Journal on Matrix Analysis and Applications . 1998,第1期

机译：通过导数和比例输出反馈对奇异系统进行正则化
4. Modified composite nonlinear feedback for nonstep output tracking of multi-input multi-output linear discrete-time singular systems with actuator saturation [C] . Emad Jafari, Tahereh Binazadeh International Conference on Control, Instrumentation and Automation . 2017

机译：修正复合非线性反馈用于执行器饱和的多输入多输出线性离散时间奇异系统的无步输出跟踪
5. Global Robust Output Regulation for Nonlinear Output Feedback Systems and Its Applications. [D] . Xu, Dabo. 2010

机译：非线性输出反馈系统的全局鲁棒输出调节及其应用。
6. Event-Driven Observer-Based Smart-Sensors for Output Feedback Control of Linear Systems [O] . Leonardo Acho 2017

机译：基于事件驱动的基于观测器的智能传感器用于线性系统的输出反馈控制
7. Minimum norm regularization of descriptor systems by mixed output feedback [O] . Chu Delin, Mehrmann Volker, Nichols Nancy K. 1999

机译：混合输出反馈对描述符系统的最小范数正则化
8. Factorization and Input-Output Decoupling by Static Output Feedback for NonlinearControl Systems [R] . Huijberts, H. J. C., Colpier, L., Moreau, P. 1994

机译：非线性控制系统静态输出反馈的分解与输入输出解耦

REGULARIZATION OF SINGULAR SYSTEMS BY OUTPUT FEEDBACK

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