LMI-based Design of Integral Sliding Mode Controllers for Mismatched Uncertain Systems

비정합 불확실성을 갖는 시스템을 위한 적분 슬라이딩 모드 제어기의 LMI 기반 설계

  • Received : 2010.03.04
  • Accepted : 2010.07.07
  • Published : 2010.08.01


This paper presents an LMI-based method to design an integral sliding mode controller for for a class of uncertain systems with mismatched unstructured uncertainties. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix as well as in the input matrix. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Finally, we give a numerical design example in order to show that the proposed method can be better than the existing results.


Linear Matrix Inequality(LMI);Uncertain System;Integral Sliding Mode Control


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