Active vibration absorber design via sliding mode control

Abstract

A new, simple control method for vibration absorber design is presented. A nonlinear robust control scheme based on a variable structure is designed and simulated. Robust synthesis of the discontinuity surface based on classical frequency loop-shaping and the edge theorem is discussed. The proposed control scheme has two advantages over the current existing vibration absorber design methodologies: 1) it is completely insensitive to changes in the stiffness and damping of the absorber, and strongly robust against parametric uncertainties of the primary vibrating structure; and 2) it is capable of suppressing both cyclic and random vibrations over a very wide range of frequencies.