Tracking control research of high-order flexible structures on the H-infinity control method

Abstract

The H-infinity mixed sensitivity tracking control method is applied to the vibration control of high-order flexible structures and a method for the choice of the mixed sensitivity weighting matrix is put forward. A MIMO (multi-input multi-output) control model of a vibration system is established which induced model uncertainties via the H-infinity control theory and the mixed sensitivity design method is used to design the robust H-infinity controller. An augment plant for the vibration system is presented by introducing the weighting function matrices. A MIMO control model with two inputs and two outputs is set up by a cantilever beam for simulation. The results show that the H-infinity controller designed for the high-order flexible structure can satisfy the requirements of the internal stability of the control system and the tracking specifications.