Abstract: Uncertainties in structural modeling of structures are often considered to ensure that the control system has a good robustness with respect to response errors. The uncertain parameters plays an important role in the analysis and design of the engineering structures. So the feedback control of the intelligent structures with the uncertainties is studied in this paper. The system with uncertainties is considered as the perturbation of the system with determined parameters, and vibration control law is designed on the basis of the deterministic system. The first order perturbations of eigenvalues of intelligent structures with uncertainties can be obtained if the feedback control law is applied to the original system and perturbed system. With the present method, the stability of intelligent structures with uncertainties is discussed and a new method for the perturbation analysis of systems with the uncertainties is presented. A numerical example of the application show the validity of the present method.

Key words: intelligent structure, perturbation, vibration control, uncertainty, robustness