Variable Structure Control for Interval Systems

A variable structure control method is proposed for a class of interval systems. In terms of linear matrix inequalities (LMIs), a sufficient condition is given for the existence of linear sliding mode surface guaranteeing asymptotic stability of the reduced-order equivalent sliding mode dynamics. An LMI parameterization of such sliding mode surface is designed and a switched feedback control strategy is accordingly given to drive the system state trajectories reach the sliding surface. Finally, the simulation example shows the effectiveness of proposed method.