Linearization algorithms for computer-aided control engineering

Author

Taylor, James H. ; Antoniotti, Alfred J.

Author_Institution

General Electric Corporate Res. & Dev., Schenectady, NY, USA

Volume

13

Issue

2

fYear

1993

fDate

4/1/1993 12:00:00 AM

Firstpage

58

Lastpage

64

Abstract

Numerical algorithms and heuristic logic for the accurate and robust linearization of nonlinear dynamic system models are given. The numerical algorithms deal with cases in which the system nonlinearities are differentiable (possess a Taylor series expansion), and the logic handles a variety of anomalous situations. New conventional methods and algorithms for linearization, as well as an expert system to aid the control engineer in determining linearized models for nonlinear systems, have been obtained. Included are an approach that minimizes the effects of truncation and round-off errors incurred through numerical differentiation and techniques for accurately identifying certain discontinuities in the mathematical description of a nonlinear system, as well as other problems that make linearization difficult or meaningless.<>

Keywords

computerised control; control system CAD; expert systems; nonlinear control systems; Taylor series expansion; computer-aided control engineering; expert system; heuristic logic; nonlinear dynamic system models; numerical algorithms; numerical differentiation; robust linearization; round-off errors; system nonlinearities; truncation; Control engineering; Control engineering computing; Expert systems; Heuristic algorithms; Logic; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Robustness; Taylor series;

fLanguage

English

Journal_Title

Control Systems, IEEE

Publisher

ieee

ISSN

1066-033X

Type

jour

DOI

10.1109/37.206986

Filename

206986