Rotating stall control via bifurcation stabilization

Rotating stall is a fundamental aerodynamic instability in axial flow compressors, induced by nonlinear bifurcation. It significantly reduces the performance of aeroengines. In this paper classical bifurcation theory is used to derive output feedback control laws in which throttle position is employed as actuator and pressure rise as output measurement. The challenge to the proposed control system is that the critical mode of the linearized system corresponding to rotating stall is neither controllable nor observable. Using the projection method, it is shown that the proposed control system is effective for elimination of rotating stall for the third-order Moore-Greitzer model.

[1]  Raymond A. Adomaitis,et al.  Bifurcation analysis of nonuniform flow patterns in axial-flow gas compressors , 1996 .

[2]  J. P. Longley,et al.  Active Control of Rotating Stall in a Low Speed Axial Compressor , 1991 .

[3]  F. Mccaughan Bifurcation analysis of axial flow compressor stability , 1990 .

[4]  E. Abed,et al.  Local feedback stabilization and bifurcation control, I. Hopf bifurcation , 1986 .

[5]  Daniel L. Gysling,et al.  Integrated control of rotating stall and surge in aeroengines , 1995, Defense, Security, and Sensing.

[6]  Thomas Kailath,et al.  Linear Systems , 1980 .

[7]  Eyad H. Abed,et al.  Bifurcation analysis of surge and rotating stall in axial flow compressors , 1993 .

[8]  L. Valavani,et al.  Active control of rotating stall in a low-speed axial compressor , 1993 .

[9]  F. Moore,et al.  A Theory of Post-Stall Transients in Axial Compression Systems: Part I—Development of Equations , 1986 .

[10]  Edward M. Greitzer,et al.  Active suppression of aerodynamic instabilities in turbomachines , 1989 .

[11]  Der-Cherng Liaw,et al.  Active control of compressor stall inception: a bifurcation-theoretic approach , 1996, Autom..

[12]  E. H. Abed,et al.  Nonlinear analysis and control of rotating stall in axial flow compressors , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[13]  G. Iooss,et al.  Elementary stability and bifurcation theory , 1980 .

[14]  M. Krstic,et al.  Backstepping designs for jet engine stall and surge control , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[15]  E. Abed,et al.  Local feedback stabilization and bifurcation control, II. Stationary bifurcation , 1987 .