The simplex method for nonlinear sliding mode control

G. Bartolini, F. Parodi, V. I. Utkin and T. Zolezzi

Mathematical Problems in Engineering, 1999, vol. 4, 1-27

Abstract:

General nonlinear control systems described by ordinary differential equations with a prescribed sliding manifold are considered. A method of designing a feedback control law such that the state variable fulfills the sliding condition in finite time is based on the construction of a suitable simplex of vectors in the tangent space of the manifold. The convergence of the method is proved under an obtuse angle condition and a way to build the required simplex is indicated. An example of engineering interest is presented.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:851687

DOI: 10.1155/S1024123X98000921

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