Bifurcation Analysis of Surge and Rotating Stall in Axial Flow Compressors

Key technology analysis for active compressor stabilization control of aero-engine

“…[9] analyzed the model, and showed that B parameter was the determined factor of the unstable behavior of the compression system and presented bifurcation theory, which pointed out that this model exhibit a stationary bifurcation at the inception of stall, resulting in hysteresis.…”

Extension of the Stability of Motions in a Combustion Chamber by Nonlinear Active Control Based on Hysteresis

“…Although the idea of taking advantage of a hysteresis loop for exercising active control of a system is not new (see, for example Fu 1988;and Abed, Houpt and Hosny 1993), application to a combustor is novel. The results reported here are the first showing unambiguouly the presence of hysteresis in an unstable combustion chamber.…”

A separation principle for non-UCO systems: The jet engine stall and surge example

“…When comparing our full-state feedback controller to the partial-state feedback controller developed in [8], however, this claim cannot be made without a rigorous analysis which is beyond the scope of this 1 For any real numbers a and b, and any positive real k, one has that ab ≤ paper. Our main objective here is rather to show that one can recover the performance of a full-state feedback controller by using output feedback despite the fact that the system is not uniformly completely observable (this point will be made clear in the following).…”

“…Since its development, several researchers have used the Moore-Greitzer three state model (MG3) to design stabilizing controllers for stall and surge. The available control approaches may be divided into three main categories: 1) Linearization and linear perturbation models (e.g., [21,18,5] among others); 2) Bifurcation analysis (e.g., [11,12,6,16,1]); and 3) Lyapunov based methods (e.g., [8,4,20]). Most existing results focus on the development of state feedback controllers which may not be implementable.…”