Structure of quasi-optimal time algorithm for analog circuits design

Authors

DOI:

https://doi.org/10.3103/S0735272712110052

Keywords:

analog circuit, Lyapunov function, quasi-optimal design strategy, Kirchhoff laws, traditional optimization strategy

Abstract

The generalized methodology developed earlier for analog circuits design and based on applying the optimal control theory is the basis for developing an optimal or quasi-optimal design algorithm. In this context the most crucial criterion making it possible to find the required structure of algorithm is the behavior of the Lyapunov function determined for circuit optimization process. Characteristics of the Lyapunov function and its derivative form the basis of search for the optimal structure of control vector which, in turn, determines the algorithm structure. A functional block diagram of the quasi-optimal algorithm implementing the main ideas of the earlier developed methodology has been built, and the main characteristics of this algorithm were determined in comparison with the traditional approach and with quasi-optimal design strategy.

References

I. S. Kashirskii 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. Microwave Symp. Dig. 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 Integr. Circuits Syst. 15, No. 3, 273 (1996).

A. M. Zemliak, “Analog System Design Problem Formulation by Optimum Control Theory,” IEICE Trans. Fund. Elec., Commun. Computer Sci. 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.11, 2004. URI: http://radioelektronika.org/article/view/S0735272704050024.

A. M. Zemliak, “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://doi.org/10.3103/S0735272708050014.

A. M. Zemliak, “A structure of time minimal strategy of analog circuits optimization,” Radioelectron. Commun. Syst., v.52, n.1, p.32, 2009. DOI: http://doi.org/10.3103/S0735272709010051.

A. M. Zemliak, “Acceleration Effect of System Design Process,” IEICE Trans. Fund. Elec., Commun. Computer Sci. E85-A, No. 7, 1751 (2002).

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

Published

2012-11-01

Issue

Section

Research Articles