A technical approach to H2 and H∞ control of a flexible transmission system

In this paper, continuous-time H
2
and H
∞
control techniques for a flexible transmission system are presented. This system has two very oscillatory vibration modes subjected to large load variation, which makes the control of it be difficult. A set of design specification in time domain is to be met by a single controller on each of the three main plant models. Furthermore, the tracking problem in the presence of disturbance and load variation is investigated. Finally, the simulation results for H
2
and H
∞
controllers for three different loadings are given and compared. The simulation results show the good performance of the proposed controllers.