Robust phase margin, robust gain margin and Nyquist envelope of an interval plant family

Tan, NUSRET

doi:10.1016/j.compeleceng.2002.07.001

Robust phase margin, robust gain margin and Nyquist envelope of an interval plant family

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Tan N.

COMPUTERS & ELECTRICAL ENGINEERING, vol.30, no.2, pp.153-165, 2004 (SCI-Expanded)

Publication Type: Article / Article
Volume: 30 Issue: 2
Publication Date: 2004
Doi Number: 10.1016/j.compeleceng.2002.07.001
Journal Name: COMPUTERS & ELECTRICAL ENGINEERING
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.153-165
Inonu University Affiliated: Yes

Abstract

In this paper, robust gain margin, robust phase margin and Nyquist envelope of interval systems are studied. It is first presented that the robust gain and phase margins of a control system with an interval plant family are achieved at one of the Kharitonov plant by using the interlacing theorem and virtual compensator concept. Then, using the generalized Hermite-Biehler theorem, it is shown that the outer boundary of the Nyquist envelope of a stable interval plant is covered by the Nyquist plots of the 16 Kharitonov plants family. Examples are given to illustrate the method presented. (C) 2003 Elsevier Ltd. All rights reserved.