Model Order Reduction for Frequency Response and Effect of Order of Method for Matching Condition
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Model Order Reduction for Frequency Response and Effect of Order of Method for Matching Condition

Authors: Aref Ghafouri, Mohammad Javad Mollakazemi, Farhad Asadi

Abstract:

In this paper, model order reduction method is used for approximation in linear and nonlinearity aspects in some experimental data. This method can be used for obtaining offline reduced model for approximation of experimental data and can produce and follow the data and order of system and also it can match to experimental data in some frequency ratios. In this study, the method is compared in different experimental data and influence of choosing of order of the model reduction for obtaining the best and sufficient matching condition for following the data is investigated in format of imaginary and reality part of the frequency response curve and finally the effect and important parameter of number of order reduction in nonlinear experimental data is explained further.

Keywords: Frequency response, Order of model reduction, frequency matching condition.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1099146

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References:


[1] Roland W. Freund, “Structure-Preserving Model Order Reduction of RCL Circuit Equations,” Model Order Reduction: Theory, Research Aspects and Applications Mathematics in Industry Volume 13, 2008, pp 49-73.
[2] B. Anderson, M. Mansour, and F. Kraus, “A new test for strict positive realness,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 4, pp. 226–229, Apr. 1995.
[3] A. Megretski, “H-infinity model reduction with guaranteed suboptimality bound,” in Proc. Amer. Control Conf., pp. 448–453, 2006.
[4] A. Megretski, “Positivity of trigonometric polynomials,” in Proc. 42nd IEEE CDC, vol. 4, pp. 3814–3817 ,Dec. 2003.
[5] M. Choi, T. Lam, and B. Reznick, “Sum of squares of real polynomials,” Proc. Symp. Pure Math., vol. 58, no. 2, 1995.
[6] V. Powers and T. Wörmann, “An algorithm for sums of squares of real polynomials,” J. Pure Appl. Linear Algebra, vol. 127, no. 1, 1998.
[7] A. Odabasioglu, M. Celik, and L. Pileggi, “PRIMA: Passive reducedorder interconnect macromodeling algorithm,” IEEE TCAD, vol. 17, no. 8, pp. 645–654, Aug. 1998.
[8] D. Vasilyev and J. White, RLE Internal Memorandum, MIT , Apr. 2005
[9] J. Peters, “Design of high quality factor inductos in RF MCM-D,” M.S. thesis, MIT, Cambridge, MA, Sep. 2004.
[10] X. Hu, J. White, and L. Daniel, “Analysis of full-wave conductor system impedance over substrate using novel integration techniques,” in Proc. IEEE/ACM Des. Autom. Conf., Jun. 2005, pp. 147–152.
[11] Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, “Electron spectroscopy studies on magneto-optical media and plastic substrate interfaces (Translation Journals style),” IEEE Transl. J. Magn.Jpn., vol. 2, Aug. 1987, pp. 740–741 (Dig. 9th Annu. Conf. Magnetics Japan, 1982, p. 301).
[12] M. Young, The Technical Writers Handbook. Mill Valley, CA: University Science, 1989.
[13] Farhad Asadi, Mohammadjavad Mollakazemi, “Investigation of fluctuation locations and effect of data distribution in time series dynamical regimes”.. Accepted and oral presentation in ICBCBBE 2014 : XII International Conference on Bioinformatics, Computational Biology and Biomedical Engineering, October, 27-28, 2014, Istanbul, turkey.
[14] Farhad Asadi, Mohammadjavad Mollakazemi, “The influence of parameters of modeling and data distribution for optimal condition on locally weighted projection regression method”.. Accepted and oral presentation in ICMSE 2014: XII International Conference on Mathematics and Statistical Engineering, October, 27-28, 2014, Istanbul, turkey.
[15] Mohammadjavad Mollakazemi, Farhad Asadi, “Real-time adaptive obstacle avoidance in dynamic environments with different D-S”.. Accepted and oral presentation in ICARM 2014: XII International Conference on Automation, Robotics and Mechatronics, October, 27-28, 2014, Istanbul, turkey.