A new fractional interpolation-based smoothing scheme for variable structure control

Abstract

A new fractional interpolation-based smoothing scheme is proposed for variable structure control. Comparing with the conventional fractional interpolation scheme, as well as other similar smoothing schemes such as the hyperbolic tangent and the exponential smoothing schemes, the new scheme achieves the designated tracking precision bound with an adequate and yet moderate gain. Comparing with the well known saturation scheme, the new scheme achieves a smoother control profile, and possesses extra flexibility in adjusting the equivalent control gain while retaining the same precision bound. Substantial comparisons are conducted to confirm the effectiveness of the proposed smoothing control scheme. © 2012 Inderscience Enterprises Ltd.