Calculation of all H∞ robust stabilizing gains for SISO LTI systems

Söylemez M. T., Bayhan N.

17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Güney Kore, 6 - 11 Temmuz 2008, cilt.17, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 17
  • Doi Numarası: 10.3182/20080706-5-kr-1001.1523
  • Basıldığı Şehir: Seoul
  • Basıldığı Ülke: Güney Kore
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Hayır

Özet

Robust stabilization of continuous time single-input single-output (SISO) linear time invariant (LTI) systems with multiplicative uncertainties is considered in this paper. In particular, it has been shown that all gains that robustly stabilize a given uncertain SISO LTI system can be found by utilizing a generalization of the Nyquist theorem. The method proposed involves calculation of roots of two real polynomials and does not require any search or gridding over a parameter, and as a result offers computational advantages over existing methods in literature. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.