Robust Stabilization of Axial Flow Compressor Dynamics Via Sliding Mode Design

Issues of the robust stabilization for axial-flow compressor dynamics with respect to the uncertainty in axisymmetric characteristics are presented. This is achieved by the design of sliding mode controllers. By assuming an actuation directly modulating the mass flow such as the close-coupled valve, the domain of attraction for the unstalled operating equilibrium will be enlarged to a great extent. Nonlocal robust stability of the operating equilibrium, with respect to the uncertainty in the unstable branch of axisymmetric compressor characteristic, is also provided by the proposed control laws. Moreover, it is demonstrated that the robust control scheme can be employed to fulfill the task of stall recovery. The proposed stabilization design does not require an explicit form for compressor characteristic. @DOI: 10.1115/1.1386393#

[1]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[2]  L.P. Harris,et al.  Compressor Modeling and Active Control of Stall/Surge , 1991, 1991 American Control Conference.

[3]  Alan H. Epstein,et al.  Parameter Identification of Compressor Dynamics During Closed-Loop Operation , 1993 .

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

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

[6]  R. Decarlo,et al.  Variable structure control of nonlinear multivariable systems: a tutorial , 1988, Proc. IEEE.

[7]  Alexander Leonessa,et al.  Nonlinear robust disturbance rejection controllers for rotating stall and surge in axial flow compressors , 1999, Proceedings of the 1997 IEEE International Conference on Control Applications.

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

[9]  K. M. Eveker,et al.  Simplified approach for control of rotating stall. I - Theoretical development , 1995 .

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

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

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

[13]  Der-Cherng Liaw,et al.  Global stabilization of axial compressors using nonlinear cancellation and backstepping designs , 1998, Int. J. Syst. Sci..

[14]  V. I. Utkin,et al.  Discontinuous Control Systems: State of Art in Theory and Applications , 1987 .

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

[16]  L. Valavani,et al.  A Lyapunov Based Nonlinear Control Scheme for Stabilizing a Basic Compression System Using a Close-Coupled Control Valve , 1991, 1991 American Control Conference.

[17]  K. M. Eveker,et al.  Simplified approach for control of rotating stall. II - Experimental results , 1995 .