Adaptive vibration control using a delta operator

This paper discusses active vibration control when a system is subjected to unknown deterministic disturbances which are generated by a linear dynamical system. A model reference adaptive technique using a delta operator id considered for control design. This algorithm can be implemented even when a discrete-time model reference adaptive control cannot be designed because of the unstable invertibility of the discrete-time model. This paper points out that it is important to select appropriate design parameters for the algorithm in order to obtain good performance of vibration control. Experimental results show that the control scheme presented in this paper is effecitive when design parameters are determined properly.