Global stabilization of axial compressors using nonlinear cancellation and backstepping designs

Issues concerning the global stabilization of axial compressors are presented. Instead of locally stabilizing the bifurcated rotating stall equilibria to avoid suddern performance drop, control schemes are proposed to globally stabilize the unstalled nominal operating points. These are achieved by employing nonlinear cancellation and backstepping designs via either throttle or direct mass flow rate control if the compressor characteristic satisfies the ‘left-tilt’ properly. The designs not only guarantee a safe operation close to the maximum achievable pressure rise, but the bifurcated system equilibria are also found to be stabilized due to the elimination of the jump phenomenon. Though both throttle and direct mass flow rate control schemes can be implemented for global stabilization, numerical simulations demonstrate that direct mass flow rate control achieves better post-stall system behaviour.

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

[2]  E. J. Doedel,et al.  AUTO: a program for the automatic bifurcation analysis of autonomous systems , 1980 .

[3]  D. L. Gysling,et al.  Theoretical study of sensor-actuator schemes for rotating stall control , 1994 .

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

[5]  A. Isidori Nonlinear Control Systems , 1985 .

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

[7]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[8]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[9]  M. Vidyasagar,et al.  Nonlinear systems analysis (2nd ed.) , 1993 .

[10]  R. Courant,et al.  Introduction to Calculus and Analysis , 1991 .

[11]  A. Isidori,et al.  Asymptotic stabilization of minimum phase nonlinear systems , 1991 .

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

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

[14]  F. Mccaughan Application of Bifurcation Theory to Axial Flow Compressor Instability , 1989 .

[15]  Der-Cherng Liaw,et al.  Stability Analysis and Control of Rotating Stall , 1992 .

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

[17]  S. Chowdhury,et al.  A simplified approach for control of rotating stall. II - Experimental results , 1993 .