Abstract:
The paper deals with the robust non-fragile Hinfinity control problem for uncertain structural systems with
additive controller gain variations. The parameter uncertainties for the mass, damping and stiffness of the
structural systems are unknown but norm bounded. Based on the Hinfinity control theory and a linear matrix
inequality formulation, a new method for designing a robust state-feedback control law is presented. The
objective is to reduce the disturbance on the controlled output to a prescribed level for all admissible
parametric uncertainties and controller gain variations. A four-degree-of-freedom building model subject
to seismic excitation is used to illustrate the effectiveness of the approach through simulation.
