Frequency-weighted model reduction with applications to structured models

Proceedings of the American Control Conference

Volumn , Issue , 2007, Pages 941-946

  Sandberg, Henrik ^a   Murray, Richard M ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; MATHEMATICAL MODELS; OPTIMIZATION;

CONVEX OPTIMIZATION; INTERCONNECTED MODELS; MODEL REDUCTION METHOD; MODEL REDUCTIONS; MULTI INPUT/MULTI OUTPUT (MIMO) SYSTEMS; SAMPLE DATA;

HEURISTIC METHODS;

EID: 46449117717     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4282746     Document Type: Conference Paper

References (20)

1. G. Obinata and B. D. O. Anderson, Model Reduction for Control System Design. London, UK: Springer-Verlag, 2001.
2. B. C. Moore, "Principal component analysis in linear systems: controllability, observability, and model reduction," IEEE Transactions on Automatic Control, vol. 26, no. 1, pp. 17-32, February 1981.
3. ∞ -error bounds," International Journal of Control, vol. 39, pp. 1115-1193, 1984.
4. D. Enns, "Model reduction with balanced realizations: an error bound and a frequency weighted generalization," in Proceedings of the IEEE Conference on Decision and Control, Las Vegas, Nevada, 1984.
5. ∞ norm and optimal Hankel norm model reduction," IEEE Transactions on Automatic Control, vol. 40, no. 10, pp. 1687-1699, 1995.
6. K. Sou, A. Megretski, and L. Daniel, "A quasi-convex optimization approach to parametrized model order reduction," in Proceedings of Design Automation Conference, Anaheim, California, June 2005.
7. A. Megretski, "H-infinity model reduction with guaranteed suboptimality bound," in Proceedings of the American Control Conference, Minneapolis, Minnesota, June 2006, pp. 448-453.
8. M. Fazel, H. Hindi, and S. Boyd, "A rank minimization heuristic with application to minimum order system approximation," in Proceedings of the American Control Conference, vol. 6, June 2001, pp. 4734--4739.
9. W. B. Dunbar and R. M. Murray, "Receding horizon control of multi--vehicle formations: A distributed implementation," Proceedings of the 43nd IEEE Conference on Decision and Control, 2004.
10. F. Wu and J. Jaramillo, "Numerical algorithm for model reduction of polytopic uncertain linear systems," in Proceedings of the American Control Conference, Anchorage, Alaska, 2002, pp. 1748-1752.
11. L. Li and F. Paganini, "LMI approach to structured model reduction via coprime factorizations," in Proceedings of the American Control Conference, 2002.
12. M. Rathinam and L. R. Petzold, "Dynamic iteration using reduced order models: A method for simulation of large scale modular systems," SIAM journal on Numerical Analysis, vol. 40, no. 4, pp. 1446-1474, 2002.
13. A. Vandendorpe and P. Van Dooren, "Model reduction of interconnected systems," Submitted to Automatica, 2005, available from http ://www.inma.ucl.ac.be/~vdooren/.
14. C. Beck, "Coprime factors reduction methods for linear parameter varying and uncertain systems," Systems and Control Letters, vol. 55, pp. 199-213, 2006.
15. K. Zhou, J. Doyle, and K. Glover, Robust and Optimal Control. Upper Saddle River, New Jersey: Prentice Hall, 1996.
16. H. Sandberg, A. Lanzon, and B. D. O. Anderson, "Model approximation using magnitude and phase criteria: Implications for model reduction and system identification," International Journal of Robust and Nonlinear Control, vol. 17, no. 5-6, pp. 435-461, 2007.
17. ∞-norm minimization problems," in Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, December 2001, pp. 261-266.
18. J. Sturm, "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones," Optimization Methods and Software, vol. 11-12, pp. 625-653, 1999, available from http ://fewcal.kub.nl/sturm/software/sedumi. html.
19. J. Löfberg, "YALMIP : A toolbox for modeling and optimization in MATLAB," in Proceedings of the CACSD Conference, Taipei, Taiwan, 2004, available from http://control.ee.ethz.ch/~joloef/yalmip.php.
20. D. Oh and J. Kim, "A simple frequency weighted model reduction using structurally balanced truncation: existence of solutions," International Journal of Control, vol. 75, no. 15, pp. 1190-1195, 2002.