A generalized regular form for multivariable sliding mode control

W. Perruquetti, J. P. Richard and P. Borne

Mathematical Problems in Engineering, 2001, vol. 7, 1-13

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:535292

DOI: 10.1155/S1024123X01001508

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