Disturbance attenuation of uncertain beams

Abstract

In control theory disturbance attenuation is analyzed by the H8 theory and through certain dissipation inequalities. Even though this theory has been applied in controlling deterministic vibrating structures the control of uncertain structures is still in its infancy. This problem poses two challenges: (a) modeling the uncertainty and (b) finding the optimal control. In this paper the uncertainty is introduced via the factors of the co-prime factorization of a beam structure. These factors represent the zeros and the poles of the structure and hence the uncertainty can be interpreted as uncertainty to the poles and zeros. © 2008 by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved.