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Parameterized model order reduction of nonlinear dynamical systems

Published: 31 May 2005 Publication History

Abstract

In this paper we present a parameterized reduction technique for non-linear systems. Our approach combines an existing non-parameterized trajectory piecewise linear method for non-linear systems, with an existing moment matching parameterized technique for linear systems. Results and comparisons are presented for two examples: an analog non-linear circuit, and a MEM switch.

References

[1]
{1} S. Pullela, N. Menezes, and L. T. Pileggi. Moment-sensitivity-based wire sizing for skew reduction in on-chip clock nets. IEEE Trans. Computer-Aided Design, 16(2):210-215, February 1997.
[2]
{2} Y. Liu, Lawrence T. Pileggi, and Andrzej J. Strojwas. Model order-reduction of RCL interconnect including variational analysis. In Proc. of the ACM/IEEE Design Automation Conference, pages 201-206, New Orleans, Louisiana, June 1999.
[3]
{3} P. Heydari and M. Pedram. Model reduction of variable-geometry interconnects using variational spectrally-weighted balanced truncation. In Proc. of IEEE/ACM International Conference on Computer Aided-Design , San Jose, CA, November 2001.
[4]
{4} H. Liu, A. Singhee, R. A. Rutenbar, and L. R. Carley. Remembrance of circuits past: macromodeling by data mining in large analog design spaces. In Proc. of the ACM/IEEE Design Automation Conference, pages 437-42, June 2002.
[5]
{5} D. S. Weile, E. Michielssen, Eric Grimme, and K. Gallivan. A method for generating rational interpolant reduced order models of two-parameter linear systems. Applied Mathematics Letters, 12:93-102, 1999.
[6]
{6} P. Gunupudi and M. Nakhla. Multi-dimensional model reduction of vlsi interconnects. In Proc. of the Custom Integrated Circuits Conference, pages 499-502, Orlando, FL, 2000.
[7]
{7} C. Prud'homme, D. Rovas, K. Veroy, Y. Maday, A. T. Patera, and G. Turinici. Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bounds methods. Journal of Fluids Engineering, 2002.
[8]
{8} L. Daniel, C. S. Ong, S. C. Low, K. H. Lee, and J. K. White. A multiparameter moment matching model reduction approach for generating geometrically parameterized interconnect performance models. IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, 23(5):678-93, May 2004.
[9]
{9} L. Daniel and J. White. Automatic generation of geometrically parameterized reduced order models for integrated spiral rf-inductors. In IEEE Intern. Workshop on Behavioral Modeling and Simulation, San Jose, CA, September 2003.
[10]
{10} P. Li, F. Liu, S. Nassif, and L. Pileggi. Modeling interconnect variability using efficient parametric model order reduction. In Design, Automation and Test Conference in Europe, March 2005.
[11]
{11} J.R. Phillips. Variational interconnect analysis via PMTBR. In Proc. of IEEE/ACM International Conference on Computer Aided-Design, pages 872-9, November 2004.
[12]
{12} K. C. Suo, A. Megretski, and L. Daniel. A quasi-convex optimization approach to parameterized model order reduction. In Proc. of the IEEE/ACM Design Automation Conference, CA, June 2005.
[13]
{13} M. Celik, A. Atalar, and M. A. Tan. Transient analysis of nonlinear circuits by combining asymptotic waveform evaluation with volterra series. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 42(8):470-473, August 1995.
[14]
{14} J. R. Phillips. Automated extraction of nonlinear circuit macromodels. In Proceedings of the Custom Integrated Circuit Conference, pages 451- 454, Orlando, FL, May 2000.
[15]
{15} J.R. Phillips. Projection frameworks for model reduction of weakly nonlinear systems. In Proc. of the ACM/IEEE Design Automation Conference, pages 184-9, June 2000.
[16]
{16} J. Chen and S. M. Kang. An algorithm for automatic model-order reduction of nonlinear MEMS devices. In Proceedings of ISCAS 2000, pages 445-448, 2000.
[17]
{17} J.R. Phillips. Projection-based approaches for model reduction of weakly nonlinear, time-varying systems. IEEE Trans. Computer-Aided Design, 22(2):171-87, 2003.
[18]
{18} P. Li and L. T. Pileggi. Norm: Compact model order reduction of weakly nonlinear systems. In Proc. of the ACM/IEEE Design Automation Conference, June 2003.
[19]
{19} Y. Chen. Model order reduction for nonlinear systems. M.S. Thesis, Massachusetts Institute of Technology, September 1999.
[20]
{20} M. Rewienski and J. K. White. A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices. In Proc. of IEEE/ACM International Conference on Computer Aided-Design, pages 252-7, San Jose, CA, USA, November 2001.
[21]
{21} M. Rewienski and J. White. A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices. IEEE Trans. Computer-Aided Design, 22(2):155-70, Feb 2003.
[22]
{22} S. Tiwary and R. Rutenbar. Scalable trajectory methods for on-demand analog macromodel extraction. In 42nd ACM/IEEE Design Automation Conference, June 2005.
[23]
{23} D. Vasilyev, M. Rewienski, and J. White. A tbr-based trajectory piecewise-linear algorithm for generating accurate low-order models for nonlinear analog circuits and mems. In Proc. of the ACM/IEEE Design Automation Conference, pages 490-5, June 2003.
[24]
{24} N. Dong and J. Roychowdhury. Piecewise polynomial nonlinear model reduction. In Proc. of the ACM/IEEE Design Automation Conference, June 2003.
[25]
{25} N. Dong and J. Roychowdhury. Automated extraction of broadly applicable nonlinear analog macromodels from spice-level descriptions. In Proc. of the IEEE Custom Integrated Circuits Conference, October 2004.
[26]
{26} Y. Wan and J. Roychowdhury Li. Operator-based model-order reduction of linear periodically time-varying systems. In 42nd ACM/IEEE Design Automation Conference, June 2005.
[27]
{27} A. Odabasioglu, M. Celik, and L. T. Pileggi. PRIMA: passive reduced-order interconnect macromodeling algorithm. IEEE Trans. Computer-Aided Design, 17(8):645-654, August 1998.
[28]
{28} Eric Grimme. Krylov Projection Methods for Model Reduction. PhD thesis, Coordinated-Science Laboratory, University of Illinois at Urbana-Champaign, Urbana-Champaign, IL, 1997.

Cited By

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  • (2017)Tensor ComputationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2016.261887936:4(521-536)Online publication date: 1-Apr-2017
  • (2014)A zonotoped macromodeling for reachability verification of eye-diagram in high-speed I/O links with jitterProceedings of the 2014 IEEE/ACM International Conference on Computer-Aided Design10.5555/2691365.2691506(696-701)Online publication date: 3-Nov-2014
  • (2014)Zonotope-based nonlinear model order reduction for fast performance bound analysis of analog circuits with multiple-interval-valued parameter variationsProceedings of the conference on Design, Automation & Test in Europe10.5555/2616606.2616621(1-6)Online publication date: 24-Mar-2014
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Published In

cover image ACM Conferences
ICCAD '05: Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
May 2005
1032 pages
ISBN:078039254X

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IEEE Computer Society

United States

Publication History

Published: 31 May 2005

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Overall Acceptance Rate 457 of 1,762 submissions, 26%

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View all
  • (2017)Tensor ComputationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2016.261887936:4(521-536)Online publication date: 1-Apr-2017
  • (2014)A zonotoped macromodeling for reachability verification of eye-diagram in high-speed I/O links with jitterProceedings of the 2014 IEEE/ACM International Conference on Computer-Aided Design10.5555/2691365.2691506(696-701)Online publication date: 3-Nov-2014
  • (2014)Zonotope-based nonlinear model order reduction for fast performance bound analysis of analog circuits with multiple-interval-valued parameter variationsProceedings of the conference on Design, Automation & Test in Europe10.5555/2616606.2616621(1-6)Online publication date: 24-Mar-2014
  • (2013)Original articleMathematics and Computers in Simulation10.1016/j.matcom.2013.07.00194(127-144)Online publication date: 1-Aug-2013
  • (2011)Model order reduction of fully parameterized systems by recursive least square optimizationProceedings of the International Conference on Computer-Aided Design10.5555/2132325.2132448(523-530)Online publication date: 7-Nov-2011
  • (2007)Bounding L2 gain system error generated by approximations of the nonlinear vector fieldProceedings of the 2007 IEEE/ACM international conference on Computer-aided design10.5555/1326073.1326255(879-886)Online publication date: 5-Nov-2007
  • (2007)Stabilizing schemes for piecewise-linear reduced order models via projection and weighting functionsProceedings of the 2007 IEEE/ACM international conference on Computer-aided design10.5555/1326073.1326252(860-866)Online publication date: 5-Nov-2007
  • (2006)Faster, parametric trajectory-based macromodels via localized linear reductionsProceedings of the 2006 IEEE/ACM international conference on Computer-aided design10.1145/1233501.1233685(876-883)Online publication date: 5-Nov-2006

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