Model reduction of discrete linear systems via frequency-domain balanced structure

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 47, Issue 6, 2000, Pages 830-837

  Wang, Dali ^a   Zilouchian, Ali ^b  

^a STM Wireless Inc   (United States)

^b Florida Atlantic University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROLLABILITY; DISCRETE TIME CONTROL SYSTEMS; FREQUENCY DOMAIN ANALYSIS; LYAPUNOV METHODS; MATHEMATICAL MODELS; OBSERVABILITY; SYSTEM STABILITY; TIME DOMAIN ANALYSIS;

DISCRETE LINEAR TIME INVARIANT SYSTEMS; GRAMMIAN BALANCING;

LINEAR CONTROL SYSTEMS;

EID: 0034205665     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.852936     Document Type: Article

References (20)

1. B. Moore, "Principal component analysis in linear systems: Controlability, observability and model reduction," IEEE Trans. Automat. Contr., vol. 20, pp. 17-31, Jan., 1981.
2. K. Glover, "All optimal Hankel-Norm approximation of linear multivariable systems," Int. J. Contr., vol. 39, no. 6, pp. 1115-1193, 1984.
3. D. F. Enns, "Model reduction with balanced realization: An error bound and frequency weighted generalization," in Proc. 23rd Conf. Decision Control, Las Vegas, NV, 1984, pp. 1237-1321.
4. L. Pernebo and L. M. Silverman, "Model reduction via balanced state-space representation," IEEE Trans. Automat. Contr., vol. 39, pp. 382-387, Apr. 1982.
5. R. Prakash, "Properties of a low frequency approximation balancing method of model reduction," IEEE Trans. Automat. Contr., vol. 39, pp. 1135-1141, May 1994.
6. T. Y. Chiu, "Model reduction by the low frequency approximation balancing method for unstable systems," IEEE Trans. Automat. Contr., vol. 41, pp. 995-997, July 1996.
7. U. M. Al-Saggaf and G. F. Franklin, "Model reduction via balanced realizations: An extension and frequency weighting techniques," IEEE Trans. Automat. Contr., vol. 33, pp. 687-692, Jul. 1988.
8. A. Zilouchian, K. Aghee, and S. Nike-Ravesh, "Model reduction of large scaled systems via frequency domain balanced structures," in Proc. 1997 American Control Conf., Albuquerque, NM, June 1997.
9. D. Wang and A. Zilouchian, "Model reduction of discrete linear systems via frequency domain balanced structure," in Proc. 1998 American Control Conf. (ACC), Philadelphia, PA, June 1998.
10. B. Anderson and Y. Liu, "Controller reduction: Concepts and approaches," IEEE Trans. Automat. Contr., vol. 34, pp. 802-812, Aug. 1989.
11. C. T. Mullis and R. A. Roberts, "Synthesis of minimum roundoff noise fixed point digital filters," IEEE Trans. Circuits Syst., vol. CAS-23, pp. 551-561, Sept 1976.
12. C. L. Beck, "Model reduction and minimality for uncertain systems," Ph.D. dissertation, California Inst. Technol., Jan. 1996.
13. C. L. Beck and P. Bendotti, "Model reduction for unstable uncertain systems," in Proc. 36th Conf. Decision Control, San Diego, CA, Dec. 1997, pp. 3298-3303.
14. D. C. Meyer and S. Srivivasan, "Balancing and model reduction for second-order form linear systems," IEEE Trans. Automat. Contr., vol. 41, pp. 1632-1644, Nov. 1996.
15. P. Mavrikis, "Nonlinear model reduction in time domain," Ph.D. dissertation, Imperial College Sci., Technol., Med., London, U.K., 1997.
16. P. Mavrikis and R. B. Vinter, "Trajectory-specific model reduction," in Proc. IEEE 36th Conf. Decision Control, San Diego, CA, Dec. 1997, pp. 3323-3328.
17. U. M. Al-Saggaf and G. F. Franklin, "An error bound for a discrete reduced order model of a linear multivariable system," IEEE Trans. Automat. Contr., vol. 32, pp. 815-819, Sept. 1987.
18. P. Feldmann and R. W. Freund, "Efficient linear circuit analysis by Fade approximation via the Lanczos process," IEEE Trans. Computer-Aided Design, vol. 14, pp. 639-649, May 1995.
19. C. T. Chen, Linear System Theory and Design. New York: Holt, Rinehart and Winston, 1994.
20. A. Zilouchian and K. Aghaee, "Principle of frequency-domain balanced structure in linear systems and model reduction," Int. J. Comp. Elect. Eng., to be published.