Author(s): LIU Jin, ZHANG Ren-Jie
Pages: 81-83
Year: 2012 Issue:  S1
Journal: Control Engineering of China
Keyword:  sliding mode control; bipolar sigmoid function; mismatched uncertain system; integral sliding manifold;
Abstract: Sliding-mode control(SMC)is a robust technique,well known for its ability to withstand external disturbances and model uncertainties satisfying the matching condition,but the matching condition is difficult to satisfy.This correspondence proposes a sliding mode controller design for the robust control of mismatched uncertain linear systems.In order to make that the perturbation is minimal, the perturbation is provided into two parts by projection matrix-the matched and unmatched perturbation.It is also shown that when the minimum is attained and the resulting perturbation is not amplified.In order to reduce chattering,a bipolar sigmoid function without high frequency switching is induced to take the place of sign function.The controller based on integral sliding mode and rate reaching law stability is ensured using the Lyapunov method.Simulation results support the analysis developed.