| Title |
An LMI-Based Sliding Surface Design Method for Linear Systems with Mismatched Uncertainties |
| Keywords |
슬라이딩 평면 ; 슬라이딩 모드 ; 정합 조건 ; 불확실성 LMI |
| Abstract |
In this paper, we propose a new sliding surface design method 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. In terms of linear matrix inequalities (LMIs), we give a sufficient condition for the existence of linear sliding surfaces guaranteeing the asymptotic stability of the sliding mode dynamics. And, we give an LMI parameterization of such linear sliding surfaces together with switched feedback control laws. Our LMI condition can be less conservative than the existing conditions and our result supplement the existing results. Finally, we give a numerical example showing that our method can be better than the previous results. |