Abstract: Aiming at solving the problem that modal control requires a multitude of sensors and high-frequency execution in the compressor active stability control，the control algorithms of compressor pre-stall and full-stall with circumferential synchronous jet were designed by the Backstep method，based on Lyapunov stability theory. It is proved by theoretical analysis and numerical simulation that，with this method，in the pre-stall stage，after about 1.1s continuous jet，the amplitude of each order modal of disturbance tends to be zero and the phase of each order modal tends to be constant. In the post-stall stage，after about 0.1s jet control，each order modal of the disturbance is completely suppressed，while the amplitude of each order modal tends to be zero and the phase of each order modal tends to be constant，which makes the effective control of pre-stall and post-stall realized. Using the mean flow as feedback input，this method only requires a small number of sensors，and the actuation frequency of the jet device is no higher than 50Hz，far below than the frequency in the modal control method. Besides，with the synchronous jet，it reduces the complexity of actuators.

Key words: Compressor；Stall；Lyapunov stability theory；Active stability control

摘要： 针对压气机主动稳定控制方法中模态控制需要大量传感器及高频执行装置的不足，以喷气装置作为失速控制的执行机构，基于李亚普诺夫稳定性理论，利用回溯法设计了采用周向同步喷气的压气机预失速和过失速阶段的失速控制算法。理论分析和仿真结果表明，采用该方法，在预失速阶段，经过约1.1s持续喷气后，扰动的各阶模态的幅值均趋于0，各阶模态的相位均趋于恒定；在过失速阶段，持续约0.1s的喷气控制后，扰动的各阶模态被完全抑制，其各阶幅值趋于0，各阶模态相位趋于恒定；实现了对预失速和过失速的有效控制。由于以平均流量作为反馈输入，该方法只需安装少量传感器，且喷气装置的作动频率不高于50Hz，远低于模态控制方法。此外，采用同步喷气，也降低了执行机构的复杂性。

关键词: 压气机；失速；李亚普诺夫稳定性理论；主动稳定控制