Modified Hankel Matrix Approach for Model Order Reduction in Time Domain
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33090
Modified Hankel Matrix Approach for Model Order Reduction in Time Domain

Authors: C. B. Vishwakarma

Abstract:

The author presented a method for model order reduction of large-scale time-invariant systems in time domain. In this approach, two modified Hankel matrices are suggested for getting reduced order models. The proposed method is simple, efficient and retains stability feature of the original high order system. The viability of the method is illustrated through the examples taken from literature.

Keywords: Model Order Reduction, Stability, Hankel Matrix, Time-Domain, Integral Square Error.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091386

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2077

References:


[1] Therapos C. P., "Balanced Minimal Realization of SISO Systems”, Electronics Letters, Vol. 19, No.11, pp. 424-426, 1983.
[2] Rosza P. and Sinha N. K., "Efficient Algorithm for Irreducible Realization of a Rational Matrix”, Int. Journal of Control, Vol. 20, pp. 739-751, 1974.
[3] Shamash Y., "Model Reduction Using Minimal Realization Algorithms” Electronics Letters, Vol. 11, No. 16, pp. 385-387, 1975.
[4] Parthasarathy R. and Singh H. "Minimal Realization of a Symmetric Transfer Function Matrix Using Markov Parameters and Moments”, Electronics Letters, Vol. 11, No. 15, pp. 324-326, 1975.
[5] Hickin J. and Sinha N. K. "New Method of Obtaining Reduced Order Models for Linear Multivariable Systems”, Electronics Letters, Vol. 12, pp. 90-92, 1976.
[6] Shrikhande V. L., "Harpreet Singh and Ray L. M.: On Minimal Realization of Transfer Function Matrices Using Markov Parameters and Moments”, Proc. IEEE, Vol. 65, No. 12, pp. 1717-1719, 1978.
[7] Sinha N. K. "Minimal Realization of Transfer Function Matrices: A Comparative Study of Different Methods”, Int. Journal of Control, Vol. 22, No. 5, pp. 627-639, 1975.
[8] Silverman L. M. "Realization of Linear Dynamical Systems”, IEEE Trans. Automatic Control, Vol.16, pp. 554-567, 1971.
[9] C.B Vishwakarma and R. Prasad, "Order Reduction Using Modified Pole Clustering and Pade Approximations”, International Journal of Embedded Software and Open Source systems, Vol.1 , No. 1 , pp. 11-19, 2011.
[10] C.B Vishwakarma & R. Prasad, "Clustering Method for Reducing Order of Linear Systems Using Pade Approximations”, IETE Journal of Research, Vol.54, No.5, pp. 326-330, 2008.
[11] Singh Nidhi, "Ph. D thesis on Reduced Order Modeling and Controller Design”, Indian Institute of Technology, Roorkee, India, December 2007.