Active Vibration Control of 2-bed Pendulum.

This paper presents active vibration control of a 2-bed pendulum using H∞ andμ controllers. This paper is a first step to the study of the active control of a suspension bridge tower under construction. Since the suspension bridge tower is flexible, the undesirable wind-indused vibration arises. Thus it is necessary to reduce the vibration to an allowable level. The 2-bed pendulum, which has almost same natural frequency and damping as those of the suspension bridge tower, is adopted as a simple example of this problem. The mathematical model of the 2-bed pendulum is obtained by mechanical laws, and a nominal model is obtained by the reduction of this model. For the designing of a controller, we use both the H∞ theorem based on the "normalized coprime factorization" and μ synthesis. From the experimental results obtained for two types of 2-bed pendulums, the H∞ and μ controllers are proved to be effective for reducing vibration.