Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 314172, 21 pages
Research Article

Modelling and Quasilinear Control of Compressor Surge and Rotating Stall Vibrations

School of Engineering and Material Science, Queen Mary, University of London, E14NS London, UK

Received 25 October 2009; Revised 23 February 2010; Accepted 9 April 2010

Academic Editor: Carlo Cattani

Copyright © 2010 Ranjan Vepa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An unsteady nonlinear and extended version of the Moore-Greitzer model is developed to facilitate the synthesis of a quasilinear stall vibration controller. The controller is synthesised in two steps. The first step defines the equilibrium point and ensures that the desired equilibrium point is stable. In the second step, the margin of stability at the equilibrium point is tuned or increased by an appropriate feedback of change in the mass flow rate about the steady mass flow rate at the compressor exit. The relatively simple and systematic non-linear modelling and linear controller synthesis approach adopted in this paper clearly highlights the main features on the controller that is capable of inhibiting compressor surge and rotating stall vibrations. Moreover, the method can be adopted for any axial compressor provided its steady-state compressor and throttle maps are known.