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Augmented Lagrangian Algorithm for Optimizing Analog Circuit Design

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Progress in Industrial Mathematics at ECMI 2002

Part of the book series: The European Consortium for Mathematics in Industry ((TECMI,volume 5))

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Abstract

The analog design assistance tool Adapt [5, 6] has been developed to help analog electronic circuit designers tuning design parameters, such that the functional design specifications are met, given process technology constraints. Tuning is based on an optimization process, in which each iteration of the optimization loop implies the evaluation of the circuit by an analog circuit simulator. Considering the simulator as a black box tool, the choice of the optimization technique is restricted, because the simulator does not automatically supply derivatives of the design metrics and numerical noise is inherently present (for instance due to adaptive time stepping). Therefore, optimization algorithms that adopt finite-difference schemes to approximate derivatives cannot be applied straightforwardly.

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References

  1. Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear programming: theory and algorithms, 2nd edition. John Wiley and Sons, New York (1993)

    MATH  Google Scholar 

  2. Conn, A.R., Gould, N., Toint, Ph.L.: Global convergence of a class of trust region algorithms for optimization with simple bounds. SIAM J. Numer. Anal., 25, 433460 (1988)

    Google Scholar 

  3. Elster, C., Neumaier, A.: A grid algorithm for bound constrained optimization of noisy functions. IMA J. Numer. Anal., 15, 585–608 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  4. Fang, K.-T., Wang, Y.: Number-theoretic methods in statistics. Chapman and Hall, London (1994)

    MATH  Google Scholar 

  5. Kole, M., Heijmen, T., Kevenaar, T., Pranger, H.-J., Sevat, M.: Adapt, an interactive tool for analog synthesis. In: Proc. SAME-2001 Conf., Sophia Antipolis, France, 15–19 (2001)

    Google Scholar 

  6. Lin, C., Heijmen, T., ter Maten, J., Kole, M.: ADAPT: Design assistance for iterative analog synthesis. In: Analog 2002 — Entwicklung von Analogschaltungen mit CAE-Methoden. GMM-Fachbericht 38, VDE Verlag GMBH, Berlin, 195–200 (2002)

    Google Scholar 

  7. Nelder, J.A., Mead, R.: A simplex method for function minimization. The Computer Journal, 7–4, 308–313 (1965)

    Article  Google Scholar 

  8. Rodriguez, J.F., Renaud, J.E., Watson, L.T.: Convergence of trust region augmented Lagrangian methods using variable fidelity approximation data. Structural Optim., 15, 141–156 (1998)

    Article  Google Scholar 

  9. Wright, M.H.: Direct search methods: once scorned, now respectable. In: Griffiths, D.F., Watson, G.A. (eds) Numerical analysis 1995. Addison—Wesley Longman, Harlow, 191–208 (1996)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Heijmen, T.G.A., Lin, C., ter Maten, E.J.W., Sevat, M.F. (2004). Augmented Lagrangian Algorithm for Optimizing Analog Circuit Design. In: Buikis, A., ÄŒiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_21

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  • DOI: https://doi.org/10.1007/978-3-662-09510-2_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07262-8

  • Online ISBN: 978-3-662-09510-2

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