Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay

Abstract EN

The problems of vibration-attenuation controller design for uncertain mechanical systems with time-varying input delay are of concern in this paper.

Firstly, based on matrix transformation, the mechanical system is described as a state-space model.

Then, in terms of introducing the linear varying parameters, the uncertain system model is established.

Secondly, the LMI-based sufficient conditions for the system to be stabilizable are deduced by utilizing the LMI technique.

By solving the obtained LMIs, the controllers are achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation.

Finally, numerical examples are given to show the effectiveness of the proposed theorems.