Frequency-domain balanced stochastic truncation for continuous and discrete time systems

International Journal of Control, Automation and Systems

Volumn 6, Issue 2, 2008, Pages 180-185

  Shaker, Hamid Reza ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Frequency domain reduction; Model reduction; Stochastic balanced structure

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; ERROR ANALYSIS; FREQUENCY DOMAIN ANALYSIS; NUMERICAL METHODS;

FREQUENCY-DOMAIN REDUCTION; MODEL REDUCTION; STOCHASTIC BALANCED STRUCTURE;

RANDOM PROCESSES;

EID: 41549139354     PISSN: 15986446     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. A. Antoulas, D. Sorensen, K. Gallivan, P. Van Dooren, A. Grama, C. Hoffmann, and A. Sameh, "Model reduction of large-scale dynamical systems," Proc. Lect. Notes Comp. Sci., vol. 3038, pp. 740-747, 2004.
2. A. Varga, "On stochastic balancing related model reduction," Proc. of IEEE Conference on decision and control, Sydney, Australia, 2000.
3. A. Zadegan and A. Zilouchian, "Controller order reduction using frequency domain balanced structure," Proc. World Auto. Congress, Orlando, FL, pp. 163-168, 2002.
4. A. Zadegan and A. Zilouchian, "Controller order reduction using the neighborhood of crossover frequency approach," Proc. 17th FL. Conf. Recent Advances Robotics, CD-ROM, Orlando, FL, 2004.
5. A. Zilouchian, P. K. Aghaee, and S. NikeRavesh, "Model reduction of large-scale systems via frequency domain balanced structure," Proc. Amer. Contr. Conf., Albuquerque, NM, 1997.
6. A. Zadegan and A. Zilouchian, "Model reduction of large-scale continuous-time systems using frequency domain balanced structure," Proc. 15th FL. Conf. Recent Advances Robotics, CD-ROM, Miami, FL, 2002.
7. A. Zadegan and A. Zilouchian, "Model reduction of large-scale systems using perturbed frequency domain balanced structure," Proc. 16th FL. Conf. Recent Advances Robotics, CD-ROM, Dania Beach, FL, 2003.
8. A. Zadegan, Model Reduction of Large-Scale Systems using Perturbed Frequency-Domain Balanced Structure, Ph.D. dissertation, Dept. Elect. Eng., Florida Atlantic Univ., Florida, 2004.
9. B. C. Moore, "Principle component analysis in linear systems: controllability, observability and model reduction," IEEE Trans. on Automatic Control, vol. 26, pp.17-32, 1981.
10. C. Oara and A. Varga, "The general inner-outer factorization problem for discrete-time systems," Proc. ECC, Karlsruhe, Germany, 1999.
11. C. Oara and A. Varga, "Computation of general inner-outer and spectral factorization," IEEE Trans. on Automatic Control, vol. 45, no. 12, pp. 2307-2325, 2000.
12. G. Obinata and B. D. O. Anderson, Model Reduction for Control System Design, Springer-Verlag, London, 2001.
13. H. R. Shaker and M. Samavat, "Accuracy enhancement in HiMAT aircraft controller reduction using a recently developed balanced technique" International Journal of Automatic Control and System Engineering, vol. 5, pp. 31-36, 2005.
14. H. R. Shaker and M. Samavat, "Accuracy and efficiency enhancement in model order reduction and some benchmark examples," Proc. of Modeling and Simulation Conference, Malaysia, 2006.
15. H. R. Shaker and M. Samavat, "Accuracy enhance model reduction technique for nonlinear dynamical systems," Proc. of Second Conf. on Chaos and Nonlinear Dynamical Systems, Tehran, Iran, 2006.
16. H. R. Shaker and M. Samavat, "Accuracy enhancement in HiMAT aircraft controller reduction," Proc. of 1st Int. Symposium on Systems and Control in Aerospace and Astronautics, Harbin, China, 2006.
17. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control, Prentice Hall, 1996.
18. M. Green, "Balanced stochastic realization," J. Linear Algebra & Applications, vol. 98, pp. 211-247, 1988.
19. M. Green, "A relative error bound for balanced stochastic truncation," IEEE Trans. on Automatic Control, vol. 33, pp. 961-965, 1988.
20. P. K. Aghaee, A. Zilouchian, S. Nike-Ravesh, and A. Zadegan, "Principle of frequency-domain balanced structure in linear systems and model reduction," Computer & Electrical Engineering, vol. 29, pp. 463-477, 2003.
21. S. Gugercin and A. C. Antoulas, "A survey of model reduction by balanced truncation and some new results," Int. J. Contr., vol. 77, pp. 748-766, 2004.
22. U. B. Desai and D. Pal, "A transformation approach to stochastic model reduction," IEEE Trans. on Automatic Control, vol. 29 pp. 1097-1100, 1984.