基于LMI的小型涡扇发动机非线性稳态控制

Nonlinear steady state control of small turbofan engine based on LMI

针对航空发动机强非线性的特点,在其线性状态空间模型基础上引入一般非线性项,拓宽了模型工作范围。基于该非线性模型,结合广义Gronwall-Bellman引理和LMI方法,设计稳态调节控制律,并应用Lyapunov稳定性定理对该控制器进行性能验证。以DGEN380发动机为研究对象,对所得控制律进行仿真,仿真结果验证了该设计方法的有效性。

Aiming at the strong nonlinear characteristics of aero-engine, a general nonlinear term is introduced based on its linear state space model to broaden the working range of it. Based on the nonlinear model, a generalized Gronwall-Bellman lemma is applied to design a steady state controller. Then the performance of the controller is verified by applying the Lyapunov stability theorem. DGEN380 engine is taken as simulation object, and the above controller is simulated. Simulation results verify the effectiveness of the current method.