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Identification of Interval Model for Parametric Uncertain Systems  

김동형 (한양대 전자통신 전파공학과)
우영태 (충북대 전자공학과)
김영철 (충북대 전기전자공학부)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.52, no.8, 2003 , pp. 462-470 More about this Journal
Abstract
This paper presents an algorithm of identifying parametric uncertainty by way of an interval model. For a given set of frequency response data from an uncertain linear SISO system of which the upper and the lower bounds of both magnitude and phase responses are represented, the proposed algorithm consists of two main parts: first, the nominal model is identified by using Least Square Estimation (LSE), and then an interval model is constructed by expanding the extremal properties of interval systems, so that tightly enclose the given envelopes within those of interval model. Two numerical examples are given to demonstrate and verify the developed algorithm. The identified interval model can be used for evaluating the worst case performance and stability margins against parametric uncertainty by using some extremal properties on interval systems.
Keywords
Identification; Least Square Estimation; Interval model;
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