Analysis of the structure of different optimization strategies. Issue 3 (2nd March 2020)

• Record Type: Journal Article
• Authors: Zemliak, Alexander; Espinosa-Garcia, Jorge
• Is Part Of: Compel. Volume 39:Issue 3(2020)
• Page Start: 583
• Page End: 593
• Publication Date: 2020-03-02
• Subjects: Optimal control -- Optimal design -- Design optimization methodology -- Circuit optimization -- Control theory approach -- Controllable dynamic system -- Lyapunov function; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-09-2019-0370
• Languages: English
• ISSNs: 0332-1649

Abstract

Abstract : Purpose: In this paper, on the basis of a previously developed approach to circuit optimization, the main element of which is the control vector that changes the form of the basic equations, the structure of the control vector is determined, which minimizes CPU time. Design/methodology/approach: The circuit optimization process is defined as a controlled dynamic system with a special control vector. This vector serves as the main tool for generalizing the problem of circuit optimization and produces a huge number of different optimization strategies. The task of finding the best optimization strategy that minimizes processor time can be formulated. There is a need to find the optimal structure of the control vector that minimizes processor time. A special function, which is a combination of the Lyapunov function of the optimization process and its time derivative, was proposed to predict the optimal structure of the control vector. The found optimal positions of the switching points of the control vector give a large gain in CPU time in comparison with the traditional approach. Findings: The optimal positions of the switching points of the components of the control vector were calculated. They minimize processor time. Numerical results are obtained for various circuits. Originality/value: The Lyapunov function, which is one of the main characteristics of any dynamic system, is used to determine the optimal structure of the control vector, which minimizes the time of the circuit optimization process.