Bifurcation test functions and surge control for axial flow compressors

Surge control is investigated in conjunction with rotating stall control fo r axial flow compressors using a bifurcation approach. Test functions are d eveloped to determine the existence and stability of the Hopf bifurcation a ssociated with surge for closed-loop systems under linear state feedback. A control design method is proposed for the synthesis of linear feedback law s that eliminate surge, coupled with rotating stall for any given compact p arameter set. Comparisons are made with existing results. Stabilization res ults are demonstrated with numerical simulations. (C) 1999 Elsevier Science Ltd. All rights reserved.