On a Dynamic Variable Structure Control Approach for the Active Control of Mechanical Vibrations

In this paper we will consider asymptotic stabilization using both static and dynamic variable structure controllers for the active control of mechanical vibrations. The proposed approach is mainly based on geometric input-output linearization, and is applied to a mechanical system with one degree of freedom, which uses an electro-hydraulic actuator. Computer simulations are used to show that the dynamic variable structure control system proposed exhibits robust behavior in the face of external disturbances and parameter variations.