Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지
DOI QR코드

DOI QR Code

An Improved Estimate of the Asymptotic Stability Region for the Uncertain Variable Structure Systems with Bounded Control

크기가 제한된 입력을 갖는 가변구조제어 시스템을 위한 개선된 안정 영역 추정값

  • 최한호 (동국대학교 전기공학과)
  • Published : 2005.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper deals with the problem of estimating the asymptotic stability region(ASR) of uncertain variable structure systems with bounded control. Using linear matrix inequalities(LMIs) we estimate the ASR and we show the exponential stability of the closed-loop control system in the estimated ASR. We show that our estimate is always better than the estimate of [3].

Keywords

References

  1. V. I. Utkin, 'Variable Structure Systems with Sliding Modes', IEEE Trans. Automat. Contr., vol. AC-22, No.2, pp. 212-222, 1977 https://doi.org/10.1109/TAC.1977.1101446
  2. S. M. Madani-Esfahani, M. Hached and S. H. Zak, 'Estimation of sliding mode domains of uncertain variable structure systems with bounded controllers,' IEEE Trans. Automat. Contr., vol. 35, pp. 446-449, 1990 https://doi.org/10.1109/9.52300
  3. 최한호, 국태용, '크기가 제한된 제어기를 갖는 가변구조제어 시스템의 점근 안정 영역 추정,' 제어자동화시스템 공학 논문지, 제9권, 제8호, pp. 616-622, 2003 https://doi.org/10.5302/J.ICROS.2003.9.8.616
  4. A. Albert, 'Conditions for positive and nonnegative definiteness in terms of pseudoinverses,' SIAM J. Appl. Math., vol. 17, pp. 434-440, 1969 https://doi.org/10.1137/0117041
  5. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in system and Control Theory, Philadelphia, SIAM, 1994
  6. Y. Orlov, 'Discontinuous unit feedback control of uncertain infinite dimensional systems,' IEEE Trans. Automat. Contr., vol. 45, pp. 834-843, 2000 https://doi.org/10.1109/9.855545
  7. P. Gahinet, A. Nemirovski and A. J. Laub, LMI Control Toolbox User's Guide, Natic, MA:The MathWorks Inc., 1995