A structure of time minimal strategy of analog circuits optimization

A. M. Zemliak

doi:10.3103/S0735272709010051

Authors

A. M. Zemliak Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, Ukraine; Autonomous University of Puebla, Mexico https://orcid.org/0000-0002-9158-1618

DOI:

https://doi.org/10.3103/S0735272709010051

Abstract

An application of optimal control theory allows to generalize method of analog circuits optimization. A task of search of time minimal strategy of circuits optimization is stated as a classical problem of optimal control theory functional optimization. As an optimized functional there is total processor time. At that, the main tool is controlling function vector, which allows to redistribute processor time burden between circuit analysis task and parametric optimization procedure. Introduced earlier special function, which is normalized Lyapunov’s function of development process, allows to predict total processor time of circuit development using initial development period. This function also allows to find optimal or quasi optimal controlling function vector behavior for minimization of circuit optimization process time.

References

I. S. Kashirskiy and Ya. K. Trokhimenko, Generalized Optimization of Electronic Circuits (Tekhnika, Kiev, 1979) [in Russian].

V. Rizzoli, A. Costanzo, and C. Cecchetti, “Numerical Optimization of Broadband Nonlinear Microwave Circuits,” IEEE MTT–S Int. Symp. 1, 335 (1990).

E. S. Ochotta, R. A. Rutenbar, and L. R. Carley, “Synthesis of High-performance Analog Circuits in ASTRX/OBLX,” IEEE Trans. CAD 15, No. 3, 273 (1996).

A. M. Zemliak, “Analog System Design Problem Formulation by Optimum Control Theory,” IEICE Trans. Fundamentals Electron., Commun., Computer Sciences E84–A, No. 8, 2029 (2001).

A. M. Zemliak, “Design of Analog Networks by the Control Theory Methods. Part 1: The Theory,” Radioelectron. Commun. Syst., v.47, n.5, p.13, 2004.

A. M. Zemliak, “Design of Analog Networks by the Control Theory Methods. Part 2: Numerical Results,” Radioelectron. Commun. Syst., v.47, n.6, p.46, 2004.

A. M. Zemliak, “Analog System Development as Controlled Process,” Nelineinyi Mir, No. 11, 609 (2006).

A. M. Zemlyak, “Comparative Analysis of the Lyapunov Function for Different Strategies of Analogue Circuits Design,” Radioelectron. Commun. Syst., v.51, n.5, p.233, 2008. DOI: http://dx.doi.org/10.3103/S0735272708050014.

E. A. Barbashin, Introduction to Stability Theory (Nauka, Moscow 1967) [in Russian].

N. Rouche, P. Habets, and M. Laloy, Stability Theory by Liapunov’s Direct Method (Springer–Verlag, New York, 1977).

A. M. Zemliak, “Acceleration Effect of System Design Process,” IEICE Trans. Fundamentals Electron., Commun., Computer Sciences E85–A, No. 7, 1751 (2002).

G. Massobrio and P. Antognetti, Semiconductor Device Modeling with SPICE (Mc. Graw-Hill Inc., New York, 1993).