Title :
An algorithm for identification in the ν-gap metric
Author :
Date, P. ; Vinnicombe, G.
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
fDate :
6/21/1905 12:00:00 AM
Abstract :
This paper suggests a method for identification in the ν-gap metric. For a finite number of frequency response samples, a problem for identification in the ν-gap metric is formulated and an approximate solution is described. It uses an iterative technique for obtaining an L2-gap approximation. Each stage of the iteration involves solving an LMI optimisation. Given a known stabilising controller and the L2-gap approximation, it is shown how to derive a ν-gap approximation
Keywords :
approximation theory; control system synthesis; frequency response; identification; iterative methods; matrix algebra; optimisation; stability; ℒ2-gap approximation; ν-gap approximation; ν-gap metric; LMI optimisation; approximate solution; frequency response samples; identification algorithm; iteration; iterative technique; stabilising controller; Control design; Frequency; Iterative algorithms; Poles and zeros; Transfer functions;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827767
