Compressor Active Stability Control Based on Center Manifold Theorem and Parameter Optimization

Abstract

This paper is concerned with the design scheme of state feedback controller and parameter optimization method for active stability control of the compressor. Firstly, the linearization system of the compressor is proved to be singular, and cannot be used for stability analysis and controller design. Next, aiming at this problem, the center manifold theorem is used to analyze the stability, and the design scheme of active stability controller based on the center manifold theorem is proposed in this paper. After that, a projected gradient method for controller parameter optimization based on parameter sensitivity is proposed. The simulation results show that the proposed method can effectively suppress the instability of the compressor under the initial disturbance. In addition, this method can also simplify the parameter selection of the controller through parameter optimization.