Model reduction of singular systems via covariance approximation

Proceedings of the 2004 American Control Conference ◽

10.23919/acc.2004.1383585 ◽

2004 ◽

Cited By ~ 3

Author(s):

Jing Wang ◽

Qingling Zhang ◽

Wanquan Liu ◽

V. Sreeram

Keyword(s):

Model Reduction ◽

Singular Systems

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A new approach to H∞ suboptimal model reduction for singular systems

2003 European Control Conference (ECC) ◽

10.23919/ecc.2003.7086550 ◽

2003 ◽

Author(s):

Jing Wang ◽

Wanquan Liu ◽

QingLing Zhang

Keyword(s):

Model Reduction ◽

Singular Systems ◽

New Approach

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Model reduction of singular systems

International Journal of Systems Science ◽

10.1080/00207720110034922 ◽

2001 ◽

Vol 32 (10) ◽

pp. 1205-1215 ◽

Cited By ~ 22

Author(s):

W. Q. Liu ◽

V. Sreeram

Keyword(s):

Model Reduction ◽

Singular Systems

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Static output feedback stabilization for second-order singular systems using model reduction methods

Applied Mathematics and Mechanics ◽

10.1007/s10483-021-2710-7 ◽

2021 ◽

Author(s):

Zheng Wang ◽

Yuhao Cong ◽

Xiulin Hu

Keyword(s):

Model Reduction ◽

Output Feedback ◽

Singular Systems ◽

Second Order ◽

Feedback Stabilization ◽

Static Output Feedback ◽

Output Feedback Stabilization ◽

Reduction Methods ◽

Static Output

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H/sub /spl infin// suboptimal model reduction for singular systems

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) ◽

10.1109/acc.2002.1023177 ◽

2002 ◽

Author(s):

Q.L. Zhang ◽

V. Sreeram ◽

G. Wang ◽

W.Q. Liu

Keyword(s):

Model Reduction ◽

Singular Systems

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H∞ model reduction for singular systems: continuous-time case

IEE Proceedings - Control Theory and Applications ◽

10.1049/ip-cta:20030815 ◽

2003 ◽

Vol 150 (6) ◽

pp. 637-641 ◽

Cited By ~ 8

Author(s):

S. Xu ◽

J. Lam ◽

W. Liu ◽

Q. Zhang

Keyword(s):

Model Reduction ◽

Continuous Time ◽

Singular Systems

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Model reduction by moment matching for linear singular systems

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7403373 ◽

2015 ◽

Author(s):

Giordano Scarciotti

Keyword(s):

Model Reduction ◽

Singular Systems ◽

Moment Matching

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Model reduction of generalized non-singular systems using limited frequency interval Gramians

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnu045 ◽

2014 ◽

Vol 33 (2) ◽

pp. 333-347 ◽

Cited By ~ 3

Author(s):

Muhammad Imran ◽

Abdul Ghafoor

Keyword(s):

Model Reduction ◽

Singular Systems ◽

Frequency Interval ◽

Limited Frequency

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Schur Decomposition Model Reduction Algorithm of Discrete-Time Singular Dynamical Systems

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.468-471.1334 ◽

2012 ◽

Vol 468-471 ◽

pp. 1334-1338

Author(s):

Lian Hua Hu ◽

Yan Fei Qiao ◽

Xiao Feng Yang ◽

Gui Jing Mei

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Discrete Time ◽

Singular Systems ◽

Singular Values ◽

Reduction Algorithm ◽

Schur Decomposition ◽

Hankel Singular Values ◽

Reduction Problem ◽

Controllability And Observability

In this paper, a model reduction for discrete-time singular dynamical systems is investigated. First, by transforming the original systems, the singular systems of impulse models are decomposed into the casual subsystems and the non-casual subsystems, and the reduction problem becomes merely a simplification of the non-casual subsystems reduction. Based on the Schur decomposition and apply Matlab to reorder the Schur forms, the degree of the systems state controllability and observability is scaled by Hankel singular values, and the results show that the controllability and observability of the states which are corresponding to the smaller Hankel singular values are weaker. Based on it, a new model reduction algorithm of discrete-time singular systems is given. Finally, a numerical simulation illustrates the effectiveness of the proposed algorithm.

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