Variable structure control of polytopic systems
凸胞型不确定系统的变结构控制

The problem of designing a variable structure control law for uncertain polytopic systems is considered in this paper.Firstly,a sufficient condition for the existence of linear sliding surfaces in terms of linear matrix inequality (LMI)is given,an explicit formula of linear sliding surfaces is also presented.Secondly,variable structure control law is designed,which not only guarantees the system to reach the sliding surface in finite time,but also assures the D_R stability of the reduced-order equivalent system on the sliding surface.Finally,an example is presented to show the efficiency of this control law.