Design of analog networks in the control theory formulation. Part 1: The theory

Authors

DOI:

https://doi.org/10.3103/S0735272705070034

Abstract

Formulation of the process of analog network design is given based on the control theory concepts. The new approach generalizes the design process and defines its various strategies within the common optimization procedure. The problem of generation of the optimal (in terms of its speed) design algorithm can be formulated as minimization of a functional in the control theory. Numerical results presented in the second part of the work demonstrate the advantages of the suggested approach.

References

OSTERBY, O.; ZLATEV, Z. Direct Methods for Sparse Matrices. N. Y.: Springer-Verlag, 1983.

WU, F.F. Solution of large-scale networks by tearing. IEEE Trans. Circuits Syst., v.23, n.12, p.706-713, 1976. DOI: https://doi.org/10.1109/TCS.1976.1084166.

SANGIOVANNI-VINCENTELLI, A.; CHEN, L.-K.; CHUA, L. An efficient heuristic cluster algorithm for tearing large-scale networks. IEEE Trans. Circuits Syst., v.24, n.12, p.709-717, 1977. DOI: https://doi.org/10.1109/TCS.1977.1084298.

RUEHLI, A.; SANGIOVANNI-VINCENTELLI, A.; RABBAT, G. Time analysis of large-scale circuits containing one-way macromodels. IEEE Trans. Circuits Syst., v.29, n.3, p.185-191, 1982. DOI: https://doi.org/10.1109/TCS.1982.1085127.

FLETCHER, R. Practical Methods of Optimization. N. Y.: John Wiley and Sons, 1980.

BRAYTON, R.K.; HACHTEL, G.D.; SANGIOVANNI-VINCENTELLI, A.L. A survey of optimization techniques for integrated-circuit design. Proc. IEEE, v.69, n.10, p.1334-1362, 1981. DOI: https://doi.org/10.1109/PROC.1981.12170.

MASSARA, R.E. Optimization Methods in Electronic Circuit Design. Harlow: Longman Scientific & Technical, 1991.

IL’IN, V.I. Making computer-aided design systems intelligent. Radioelectron. Commun. Syst., v.30, n.6, p.5-13, 1987.

SIGORSKII, V.P. Radioectron. Commun. Syst., v.31, n.6, p.5-22, 1988.

PETRENKO, A.I. Radioectron. Commun. Syst., v.31, n.6, p.27-31, 1988.

NORENKOV, I.P. Developing CAD structures. Radioectron. Commun. Syst., v.32, n.6, p.25-29, 1989.

NAGEL, L.W. SPICE2: A computer program to simulate semiconductor circuits. Electronic Research Laboratory, Rep. No. ERL-M520. University of California, Berkeley, 1975.

KAZANDZHAN, N.N.; KALNIBOLOTSKII, Y.M.; ROMAMENKO, Y.A.; GOGOLEVA, L.P. Radioelectron. Commun. Syst., v.23, n.6, p.99-101, 1980.

IL’IN, V.N.; BAKHOV, V.A.; KAMNEVA, N.Y.; KOGAN, V.L.; KOTUL’SKII, M.A. Radioelectron. Commun. Syst., v.25, n.6, p.65-69, 1982.

YROKHIMENKO, Y.K.; LOVKII, V.K.; YASTREBOV, N.I.; GREBEN’KOV, N.V. Radioelectron. Commun. Syst., v.27, n.6, p.95-96, 1984.

PETRENKO, A.I.; TIMCHENKO, A.P.; LADOGUBETS, V.V.; MACHUGOVSKII, V.S. The PRAM-01 ES subsystem for analysis and optimization of electronic devices [in Russian], in: Applied and Theoretical Issues of Development, Introduction and Maintenance of Electronic Equipment CAD-Systems. Moscow Aviation Institute, 1984, p.62-63.

OGORODNEICHUK, I.F.; BORZENKOV, B.I.; KUNIK, E.G.; SEMENETS, V.V.; DOVNAR, A.I.; MALYUK, V.G.; PRASOL, I.V.; SERIKOV, A.D.; ZOLOTOVERKHII, Y.N.; KHRAMTSOV, V.N. Program complex for end-to-end design of radioelectronic apparatus. Radioelectron. Commun. Syst., v.30, n.6, p.73-75, 1987.

AFINOGENOV, S.V.; BASHA, A.V.; BELOSTOTSKII, A.I.; VETRENKO, S.I.; GUDIMA, I.A.; MARINYAKO, V.A.; MOLCHANOV, A.A.; SEMIK, A.P.; SHARADKIN, D.M. Computer-aided design system for microelectronics products. Radioelectron. Commun. Syst., v.30, n.6, p.80-82, 1987.

KASHIRSKII, I.S. Design of biasing circuits for transistor networks by the generalized optimization method. Radioelectron. Commun. Syst., v.18, n.5, p.88-92, 1975.

KASHIRSKII, I.S.; TROKHIMENKO, Y.K. The Generalized Optimization of Electronic Networks [in Russian]. Kiev: Tekhnika, 1979.

RIZZOLI, V.; COSTANZO, A.; CECCHETTI, C. Numerical optimization of broadband nonlinear microwave circuits. IEEE MTT-S Int. Symp. Dig., v.1, p.335-338, 1990. DOI: https://doi.org/10.1109/MWSYM.1990.99588.

OCHOTTA, E.S.; RUTENBAR, R.A.; CARLEY, L.R. Synthesis of high-performance analog circuits in ASTRX/OBLX. IEEE Trans. CAD Integrated Circuits Syst., v.15, n.3, p.273-294, 1996. DOI: https://doi.org/10.1109/43.489099.

ZEMLYAK, A.M. Analog system design problem formulation by optimum control theory. IEICE Trans. Fundamentals Electron. Communic. and Computer Sciences, v.E84-A, n.8, p.2029-2041, 2001.

PONTRYAGIN, L.S.; BOLTYANSKII, V.G.; GAMKRELIDZE, R.V.; MISHCHENKO, Y.F. Mathematical Theory of Optimal Processes [in Russian]. Moscow: Nauka, 1969.

FEDORENKO, R.P. Approximate Solution of Optimal Control Problems [in Russian]. Moscow: Nauka, 1969.

PYTLAK, R. Numerical Methods for Optimal Control Problems with State Constraints. Berlin: Springer-Verlag, 1999.

Published

2005-07-03

Issue

Section

Research Articles