A generalized regular form for multivariable sliding mode control. Issue 1 (2001)

• Record Type: Journal Article
• Authors: Perruquetti Perruquetti, W. W.; Richard Richard, J. P. J. P.; Borne Borne, P. P.
• Is Part Of: Mathematical problems in engineering. Volume 7:Issue 1(2002)
• Page Start: 15
• Page End: 27
• Publication Date: 2001
• Subjects: Sliding mode control; Multivariable systems; Non linear systems; Stabilization; Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/S1024123X01001508
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.