Sliding Mode Observer for Uncertain Systems with Mismatched Uncertainties: An LMI Approach

LMI를 이용한 불확실한 시스템의 슬라이딩 모드 관측기 설계

  • Song, Min-Kook (Electrical and Electronic Engineering, Yonsei University) ;
  • Joo, Young-Hoon (School of Electronic and Information Engineering, Kunsan National University) ;
  • Park, Jin-Bae (Electrical and Electronic Engineering, Yonsei University)
  • 송민국 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 전자공학부) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2006.07.12

Abstract

This paper considers a method to design sliding mode observers for a class of uncertain systems using Linear Matrix Inequalities(LMI). In an LMI-based sliding mode observer design method for a class of uncertain systems the switching surface is set to be the difference between the observer and system output. In terms of LMIs, a necessary and sufficient condition is derived for the existence of a sliding-mode observer guaranteeing a stable sliding motion on the switching surface. The gain matrices of the sliding-mode observer are characterized using the solution of the LMI existence condition. The results are illustrated by an example.

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