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

Tan N.

COMPUTERS & ELECTRICAL ENGINEERING, cilt.30, ss.153-165, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.compeleceng.2002.07.001
  • Sayfa Sayıları: ss.153-165


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.