Compressor Surge Control Design Using Linear Matrix Inequality Approach

Abstract

A novel design for active compressor surge control system (ASCS) using linear matrix inequality (LMI) approach is presented and including a case study on piston-actuated active compressor surge control system (PAASCS). The non-linear system dynamics of the PAASCS is transformed into linear parameter varying (LPV) system dynamics. The system parameters are varying as a function of the compressor performance curve slope. A compressor surge stabilization problem is then formulated as a LMI problem. Solving the LMI problem results in a feedback control gain for the compressor surge stabilization and stability proof of the closed loop system in the whole compressor operating area. Simulation results show that the designed surge control system is able to stabilize compressor surge. Significant improvement of the control system performance is achieved by combining the LMI approach and linear quadratic regulator (LQR).