Model reduction by the low-frequency approximation balancing method for unstable systems

IEEE Transactions on Automatic Control

Volumn 41, Issue 7, 1996, Pages 995-997

  Chiu, Tai Yih ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ERRORS; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; POLES AND ZEROS; SYSTEM STABILITY;

LOW FREQUENCY APPROXIMATION BALANCING; MODEL REDUCTION TECHNIQUE;

CONTROL SYSTEM SYNTHESIS;

EID: 0030192441     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.508903     Document Type: Article

References (7)

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3. C. Kenney and G. Hewer, "Necessary and sufficient conditions for balancing unstable systems," IEEE Trans. Automat. Contr., vol. AC-32, pp. 157-160, Feb. 1987.
4. Y. Liu and B. D. O. Anderson, "Singular perturbation approximation of balanced systems," Int. J. Contr., vol. 50, pp. 1379-1405, 1989.
5. B. C. Moore, "Principal component analysis in linear system: Controllability, observability and model reduction," IEEE Trans. Automat. Contr., vol. AC-26, pp. 17-32, Feb. 1981.
6. R. Prakash, "Properties of a low-frequency approximation balancing method of model reduction," IEEE Trans. Automat. Contr., vol. 39, pp. 1135-1141, May 1994.
7. C. P. Therapos, "Balancing transformations for unstable nonminimal linear systems," IEEE Trans. Automat. Contr., vol. 34, pp. 455-457, Apr. 1989.