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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Robust Stabilization of Uncertain LTI Systems via Observer Model Selection

관측기 모델 선정을 통한 모델 불확실성을 갖는 선형 시불변 시스템 강인 안정화

  • Oh, Sangrok (ASRI, Department of Electrical and Computer Engineering, Seoul National University) ;
  • Kim, Jung-Su (Dept. of EIE, Seoul National University of Science and Technology) ;
  • Shim, Hyungbo (ASRI, Department of Electrical and Computer Engineering, Seoul National University)
  • 오상록 (서울대학교 전기정보공학부) ;
  • 김정수 (서울과학기술대학교 전기정보공학과) ;
  • 심형보 (서울대학교 전기정보공학부)
  • Received : 2014.04.28
  • Accepted : 2014.06.09
  • Published : 2014.08.01
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Abstract

This paper presents a robust observer-based output feedback control for stabilization of linear time invariant systems with polytopic uncertainties. To this end, this paper not only finds a robust observer gain but also suggests how to determine the model used in the observer, which is not obvious due to model uncertainties in the conventional observer design method. The robust observer gain and the observer model are selected in a way that the whole closed-loop is stable by solving LMIs and BMIs (Linear Matrix Inequalities and Bilinear Matrix Inequalities). A simulation example shows that the proposed robust observer-based output feedback control successfully leads to closed-loop stability.

Keywords

References

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