LINEAR STATE FEEDBACK DESIGN FOR SURGE CONTROL OF AXIAL FLOW COMPRESSOR DYNAMICS

Based on Moore and Greitzer's model [15], the surge behavior of axial flow compression system was found to be attributed to the appearance of Andronov-Hopf bifurcationin [12]. In this paper, we focus on the design of control law to prevent and/or delay the occurrence of the bifurcations, which will then suppress the surge behavior. Both types of linear dynamic state feedback and linear washout filter controllers are proposed. The proposed washout design does not require the explicit knowledge of the operating point and keep the original equilibrium characteristic while the dynamic feedback design will change the equilibrium operating points for pre-surge and post-surge regime. In addition, the washout type control scheme can relax the implementation of the control law in the practical applications. Numerical results demonstrate the effectiveness of the proposed designs and the superiority of the washout filter scheme.

[1]  Jack L. Kerrebrock,et al.  Aircraft Engines and Gas Turbines , 1977 .

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

[3]  Hsien-Chiarn Lee,et al.  Robust Control of Bifurcating Nonlinear Systems with Applications , 1991 .

[4]  Joga Dharma Setiawan,et al.  Distributed nonlinear modeling and stability analysis of axial compressor stall and surge , 1994, Proceedings of 1994 American Control Conference - ACC '94.

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

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

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

[8]  Petar V. Kokotovic,et al.  Useful nonlinearities and global stabilization of bifurcations in a model of jet engine surge and stall , 1998, IEEE Trans. Autom. Control..

[9]  Alexander Leonessa,et al.  Nonlinear robust disturbance rejection controllers for rotating stall and surge in axial flow compressors , 1999, IEEE Trans. Control. Syst. Technol..

[10]  Der-Cherng Liaw,et al.  Robust Stabilization of Axial Flow Compressor Dynamics Via Sliding Mode Design , 2001 .

[11]  Alexander Leonessa,et al.  Fixed-order dynamic compensation for axial flow compression systems , 2002, IEEE Trans. Control. Syst. Technol..

[12]  Petar V. Kokotovic,et al.  Nonlinear control experiments on an axial flow compressor , 2004, IEEE Transactions on Control Systems Technology.

[13]  Der-Cherng Liaw,et al.  Robust stabilization of a centrifugal compressor with spool dynamics , 2004, IEEE Transactions on Control Systems Technology.

[14]  Sanjay P. Bhat,et al.  Output-feedback semiglobal stabilization of stall dynamics for preventing hysteresis and surge in axial-flow compressors , 2006, IEEE Transactions on Control Systems Technology.