Adaptive Pulse Width Control for Precise Positioning Under the Influence of Stiction and Coulomb Friction

Sangsik Yang1, Masayoshi Tomizuka1
1Department of Mechanical Engineering, University of California, Berkeley, Berkeley, CA 94720

Tóm tắt

Conventional linear digital control fails to provide precise positioning of a control object under the influence of static friction, Coulomb friction, and backlash. This paper presents an adaptive pulse width control (PWC) scheme for a precise point-to-point positioning system. This scheme is developed based on the relationship between the displacement of a control object due to a single pulse input and the pulse width. The coefficient appearing in this relationship is estimated by a parameter adaptation algorithm. Sufficient conditions for asymptotic stability of this adaptive scheme are developed using Popov hyperstability theorem. This adaptive PWC is tested on a laboratory positioning table and is shown to be effective.

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