Experimental Study on Active Vibration Control of Structures by means of H∞ Control and H²Control

This paper describes an experimental study on H∞ control for vibration in multi-degree-of-freedom systems. An H∞ controller designed by using the reduced-order model makes a closed loop system, not only causing no spillover phenomena, but also controlling the vibration on the four-degree-of-freedom experimental model. The experimental results are very similar to the simulation results, and the efficiency of the H∞ control system is confirmed. Also experiments on frequency-shaped cost function LQG (H2) control design are performed in comparison with the H∞ optimal control. Because the H∞ optimal control has strong robust stability against the parameter variations, it can construct a more useful control system than H∞ control for a real control object.