%0 Journal Article %T A generalized regular form for multivariable sliding mode control %A Perruquetti W. %A Richard J. P. %A Borne P. %J Mathematical Problems in Engineering %D 2001 %I Hindawi Publishing Corporation %X The paper shows how to compute a diffeomorphic state space transformation in order to put the initial mutivariable nonlinear model into an appropriate regular form . This form is an extension of the one proposed by Lukyanov and Utkin [9], and constitutes a guidance for a ¡°natural¡± choice of the sliding surface. Then stabilization is achieved via a sliding mode strategy. In order to overcome the chattering phenomenon, a new nonlinear gain is introduced. %K Sliding mode control %K Multivariable systems %K Non linear systems %K Stabilization %U http://www.hindawi.net/access/get.aspx?journal=mpe&volume=7&pii=S1024123X01001508