Stability conditions for Time-delayed LPV systems

시간 지연 선형 파라메타 변형 시스템의 안정화 조건에 관한 연구

  • Jeong, Chang-Ki (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology) ;
  • Kang, Byung-Hoon (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology) ;
  • Ko, Jeong-Wan (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology) ;
  • Park, Poo-Gyeon (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
  • 정창기 (포항공과대학교 전자전기공학과) ;
  • 강병훈 (포항공과대학교 전자전기공학과) ;
  • 고정완 (포항공과대학교 전자전기공학과) ;
  • 박부견 (포항공과대학교 전자전기공학과)
  • Published : 2007.10.26

Abstract

In this paper, a delay-dependent stability criterion for time-delayed linear parameter varying (LPV) systems is considered. Stability criterion has been developed on the basis of including x(t-h) and x(t) and introducing free variables to eliminate model dynamics. Since the resultant criterion is formed parameterized linear matrix inequalities (PLMIs), we propose a relaxation technique that allows to find an LMI formulation. Examples demonstrate the efficiency of the criterion over the existing results.

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