On Robustness of EMS Variable-Structure Sliding Mode Control Systems

Abstract Robustness properties of non-companion representation of linear systems, studied using a criterion due to contribution of Drcuzenouic 1969, are retained to a limited extent only. Hajor drawback of this approach, utilizing the facilitating fact of B(CB)^C being a projector such that disturbances or parameter variations belong to the range space of input matrix B, is that the extent of the robustness is not determined. In this paper, quantitative measures are introduced for assessing the extent of lack of robustness. Method is based on singular value analysis of closed-loop state matrix F in sliding mode introducing the simple stability criteria.