Abstract
This paper deals with a robust vibration control of a flexible structure against parameter variations. In general, a mechanical system which satisfies the conditions of the principle of detailed balance becomes a non-gyroscopic dissipative system and each eigenvector becomes to be orthogonal approximately. As a result, the system becomes insensitive to parameter variations. In this paper, based on a covariance control theory with the principle of detailed balance, a robust vibration control method is proposed. The controlled system obtained is a non-gyroscopic dissipative system and robust against parameter variations. The robustness of the system is checked by the use of a perturbation method and numerical examples.
