Comparative characteristics of different strategies stability of analog circuits optimization
DOI:
https://doi.org/10.20535/RADAP.2013.55.61-70Keywords:
analog circuits optimization, the control theory, control vector, optimum algorithm of designing, Lyapunov function of designing process, stability of optimization trajectoryAbstract
Introduction. Methodology of analog circuits designing was developed before on the basis of control theory application and it allows to use important concepts and results of this theory. Problem formulation. A problem of circuit optimization is defined as a controllable dynamic process. This approach gives possibility to control the process of optimization by means of changing special control functions during the process. A function of Lyapunov that was defined for the process of electronic circuit optimization is a useful characteristic that allowing to compare different strategies of optimization. Thus the behavior of the special function, being logarithm from the function of Lyapunov, defines a stock of stability of optimization strategy and well correlates with total processor time of circuit optimization. Numerical results. The process of optimization of transistor amplifier shows the principal advantage of proposed approach. There are new strategies of circuit optimization that have a big time gain with respect to the traditional approach. A time gain for some strategies achieve 50-60 times. A function that is logarithm from the function of Lyapunov describes very well the behavior the optimization process. The total processor time depends on properties of strategy and has a strong correlation with behavior of Lyapunov function of optimization process. The analysis shows the perspectives in searching of the best optimization strategy. Conclusions. The analysis of behavior of a special function that describes a process of circuit optimization allows obtaining in relation of complete time of electronic circuit designing. This function is a practical instrument at the choice of the most perspective strategies of optimization. In this case we can obtain a big acceleration of the optimization process.References
Литература
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