Delayed control of a Moore-Greitzer axial compressor model
- AUTHORS: W. Aernouts, R. Sepulchre, D. Roose.
Several control laws have been formulated to stabilize the low-order nonlinear state-space model of an axial compression system developed by Moore and Greitzer. Motivated by magnitude and rate limitations imposed by the physical implementation of the control law, Larsen et al. studied a dynamic implementation of the S-controller suggested by Sepulchre and Kokotovic and showed the potential benefitof implementing the S-controller through a first order lag: while the location of the closed-loop equilibrium achieved with the static control law was sensitive to poorly known parameters, the dynamic implementation of the control law resulted in a small limit cycle at a very desirable location, insensitive to parameter variations.
In this paper, we investigate the more general case when the control law is applied with a time delay. This can be seen as an extension of the model with a first order lag. The resulting closed-loop system is a set of parameter dependent delay differential equations. Numerical bifurcation analysis is used to study this model and investigate whether the positive results obtained for the first-order model persist, even for large values of the delay.
- STATUS: International Journal of Bifurcations and Chaos,
Vol. 10, No 5, pp. 1157-1164, 2000.