Title :
Frequency domain curve fitting: a global approach
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Norway
Abstract :
We consider the problem of fitting fixed order rational SISO transfer functions to frequency response data using a least squares criterion. The main contribution is showing how this problem can be solved semi-globally by transforming it into a bilinear matrix inequality (BMI) problem. The BMI problem is in turn solved by a branch-and-bound approach. An application is given to `linearisation´ of a complex dynamic multi-phase flow simulator
Keywords :
Lyapunov methods; curve fitting; frequency response; matrix algebra; rational functions; transfer functions; tree searching; bilinear matrix inequality problem; branch-and-bound approach; complex dynamic multi-phase flow simulator; fixed order rational SISO transfer functions; frequency domain curve fitting; global approach; least squares criterion; Control engineering; Curve fitting; Cybernetics; Data engineering; Frequency domain analysis; Frequency response; Least squares methods; Linear matrix inequalities; Stochastic resonance; Transfer functions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914244
