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

In this paper, continuous-time H2 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 H2 and H∞ controllers for three different loadings are given and compared. The simulation results show the good performance of the proposed controllers.

[1]  N. Sadati,et al.  H/sub /spl infin// control of a flexible transmission system , 2004, Thirty-Sixth Southeastern Symposium on System Theory, 2004. Proceedings of the.

[2]  I. D. Landau,et al.  Robust adaptive control of a flexible transmission system using multiple models , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[3]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[4]  Michel Gevers,et al.  Model-free Tuning of a Robust Regulator for a Flexible Transmission System , 1995, Eur. J. Control.

[5]  M. M'Saad,et al.  Adaptive control of a flexible transmission system , 1994 .