On chattering-free dynamic sliding mode controller design

For a class of linear mimo uncertain systems,a dynamic sliding mode control algorithm that avoids the chattering problem is proposed in this paper. without using any differentiator,we develop a modified asymptotically stable second-order sliding mode control law in which the proposed controller can guarantee the finite time convergence to the sliding mode and can show that the system states asymptotically approach to zero. finally,a numerical example is explained for demonstrating the applicability of the proposed scheme. © 2012 jeang-lin chang.