Browse > Article

Frequency-Domain Balanced Stochastic Truncation for Continuous and Discrete Time Systems  

Shaker, Hamid Reza (Section for Atomation and Control, Institute for Electronic Systems, Aalborg University)
Publication Information
International Journal of Control, Automation, and Systems / v.6, no.2, 2008 , pp. 180-185 More about this Journal
Abstract
A new method for relative error continuous and discrete time model order reduction is proposed. The reduction technique is based on two recently developed methods, namely frequency domain balanced truncation within a frequency bound and inner-outer factorization techniques. The proposed method is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency. Numerical results show the accuracy and efficiency enhancement of the method.
Keywords
Frequency-domain reduction; model reduction; stochastic balanced structure;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 A. Zadegan and A. Zilouchian, "Controller order reduction using frequency domain balanced structure," Proc. World Auto. Congress, Orlando, FL, pp. 163-168, 2002
2 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
3 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
4 A. Zadegan and A. Zilouchian, "Model reduction of large-scale systems using perturbed frequency domain balanced structure," Proc. 16th FL. Conf. Recent Advances Robotics, CDROM, Dania Beach, FL, 2003
5 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
6 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   DOI   ScienceOn
7 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
8 A. Varga, "On stochastic balancing related model reduction," Proc. of IEEE Conference on decision and control, Sydney, Australia, 2000
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   DOI
10 M. Green, "A relative error bound for balanced stochastic truncation," IEEE Trans. on Automatic Control, vol. 33, pp. 961-965, 1988   DOI   ScienceOn
11 U. B. Desai and D. Pal, "A transformation approach to stochastic model reduction," IEEE Trans. on Automatic Control, vol. 29 pp. 1097-1100, 1984   DOI
12 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   DOI   ScienceOn
13 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
14 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
15 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
16 G. Obinata and B. D. O. Anderson, Model Reduction for Control System Design, Springer-Verlag, London, 2001
17 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   DOI   ScienceOn
18 A. Zilouchian, P. K. Aghaee, and S. Nike- Ravesh, "Model reduction of large-scale systems via frequency domain balanced structure," Proc. Amer. Contr. Conf., Albuquerque, NM, 1997
19 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
20 K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control, Prentice Hall, 1996
21 M. Green, "Balanced stochastic realization," J. Linear Algebra & Applications, vol. 98, pp. 211-247, 1988   DOI   ScienceOn
22 C. Oara and A. Varga, "The general inner-outer factorization problem for discrete-time systems," Proc. ECC, Karlsruhe, Germany, 1999