Accuracy and efficiency enhanced non-linear model order reduction

International Journal of Modelling, Identification and Control

Volumn 2, Issue 2, 2007, Pages 147-153

  Shaker, Hamid Reza ^a   Samavat, Mahmoud ^a  

^a SHAHID BAHONAR UNIVERSITY OF KERMAN   (Iran)

Author keywords

Frequency domain balanced truncation; Model reduction; Non linear systems; TPWL; Trajectory piecewise linear

Indexed keywords

COMPUTER SIMULATION; DYNAMICAL SYSTEMS; FREQUENCY DOMAIN ANALYSIS; NUMERICAL METHODS; PIECEWISE LINEAR TECHNIQUES;

FREQUENCY BALANCED REDUCTION METHOD; ORDER REDUCTION; TRAJECTORY PIECEWISE-LINEAR MODEL;

NONLINEAR SYSTEMS;

EID: 34548269484     PISSN: 17466172     EISSN: 17466180     Source Type: Journal    
DOI: 10.1504/IJMIC.2007.014627     Document Type: Article

References (19)

1. Aghaee, P.K., Zilouchian, A., Nike-Ravesh, S. and Zadegan, A. (2003) 'Principle of frequency-domain balanced structure in linear systems and model reduction', Computer and Electrical Engineering, Vol. 29, pp.463-477.
2. Antoulas, A., et al. (2004) 'Model reduction of large-scale dynamical systems', Proceedings of Lecture Notes in Computer Science, Vol. 3038, pp.740-747.
3. Chahlaoui, Y. and Van Dooren, P. (2002) 'A collection of benchmark examples for model reduction of linear time invariant dynamical systems', SLICOT Working Note 2002-2, Available at: wgs.esat.kuleuven.ac.be/pub/WGS/REPORTS/SLWN2002-2.ps.Z.
4. Gugercin, S. and Antoulas, A.C. (2004) 'A survey of model reduction by balanced truncation and some new results', International Journal of Control, Vol. 77, pp.748-766.
5. Moore, B.C. (1981) 'Principle component analysis in linear systems: controllability, observability and model reduction', IEEE Transactions on Automative Control, Vol. 26, pp.17-32.
6. Rewienski, M. (2003) 'A trajectory piecewise-linear approach to model order reduction of nonlinear dynamical systems', PhD dissertation file.
7. Rewienski, M. and White, J. (2001) 'A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices', Proceedings of the International Conference on Computer-Aided Design, pp.252-257.
8. Rewienski, M. and White, J. (2002) 'Improving trajectory piecewise-linear approach to nonlinear model order reduction for micromachined devices using aggregated projection basis', Proceedings of the Fifth International Conference on Modeling and Simulation of Microsystems, pp.128-131.
9. Rewienski, M. and White, J. (2003) 'A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices', IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 22, No. 2, pp.155-170.
10. Shaker, H.R. and Samavat, M (2005) 'Accuracy enhancement in HiMAT aircraft controller reduction using a recently developed balanced technique', International Journal of Automatic Control and System Engineering, Vol. 5, No. 4, pp.31-36.
11. Shaker, H.R. and Samavat, M. (2006a) 'Accuracy enhance model reduction technique for nonlinear dynamical systems', Proceedings of the Second Conference on Chaos and Nonlinear Dynamical Systems, Tehran, Iran.
12. Shaker, H.R. and Samavat, M. (2006b) 'Accuracy enhancement in HiMAT aircraft controller reduction', Proceedings of the First International Symposium on Systems and Control in Aerospace and Astronautics, Harbin, China.
13. Shaker, H.R. and Samavat, M. (2006c) 'Accuracy enhancement in model order reduction and some benchmark examples', CD ROM Proceedings of Modeling and Simulation Conference (MS2006), Malaysia.
14. Vasilyev, D., Rewienski, M. and White, J. (2003) 'A TBR-based trajectory piecewise-linear algorithm for generating accurate low-order models for nonlinear analog circuits and mems', DAC, pp.490-495.
15. Zadegan, A. and Zilouchian, A. (2002a) 'Controller order reduction using frequency domain balanced structure', Proceedings of World Automotive Congress, Orlando, FL, pp.163-168.
16. Zadegan, A. and Zilouchian, A. (2002b) 'Model reduction of large-scale continuous-time systems using frequency domain balanced structure', Proceedings of 15th FL Conference Recent Advances Robotics, CD-ROM, Miami, FL.
17. Zadegan, A. and Zilouchian, A. (2003) 'Model reduction of large-scale systems using perturbed frequency domain balanced structure', Proceedings of 16th FL Conference Recent Advances Robotics, CD-ROM, Dania Beach, FL.
18. Zadegan, A. and Zilouchian, A. (2004) 'Controller order reduction using the neighborhood of crossover frequency approach', Proceedings of 17th FL Conference on Recent Advances Robotics, CD-ROM, Orlando, FL.
19. Zilouchian, A., Aghaee, P.K. and Nike-Ravesh, S. (1997) 'Model reduction of large-scale systems via frequency domain balanced structure', Proceedings of American Control Conference, Albuquerque, NM.