Robust control for axial-flow compressor - An algorithm

Local L₂ gain method has been pursued to analyze the robustness of a family of stabilizing controllers near the rotating stall point in axial flow compressors. An matrix inequality is involved in computation of L₂ gain which is usually very difficult to solve without resorting to numerical method. In order to reduce the computational cost, an algorithm is proposed in this paper to greatly simplify the computational complexity by converting the matrix inequality into its quadratic form. Rather than obtaining accurate approximation of the local L₂ gain, the results would facilitate the robust design of the axial flow compressor control.