A study on the integral resonant vibration control of a piezoelectric bimorph beam with a negative direct feedthrough

Abstract

Integral resonant control (IRC) is a vibration control method in which integration of the measured displacements is positively fed back to the input force. It is necessary to know the transfer function of the control object for the model-based design of an IRC. This paper uses a piezoelectric bimorph beam used as the control object. The direct feedthrough term of the transfer function is usually positive, but we found the experimentally measured direct feedthrough was negative. This paper proposes a new model for the physical cause of the negative direct term of a piezoelectric bimorph. Even if the direct term is negative the negative imaginariness of the transfer function is not violated, and therefore stable vibration control by IRC is possible.