To provide desired control performance for turbofan engines subject to external disturbances, a nonlinear H_∞ set-point control approach is proposed in this paper. The nonlinear H_∞ set-point control expands the scope of controllable operation and limits the impact of disturbances on turbofan engines, which can effectively reduce the frequency of controller switching and improve the stability of the control system. Firstly, a simple polynomial nonlinear state-space model is employed to approximate the nonlinear dynamics of turbofan engines in certain operating conditions. Then, the nonlinear H_∞ set-point controller is designed to ensure the states of turbofan engines robust to exogenous disturbances. Finally, it is proven that the proposed controller guarantees asymptotic stability and robustness. Simulation results show that the proposed method can improve transient responses, disturbance rejection, surge margins, and fuel consumption for the component level engine model JT9D.

为了为受到外部干扰的涡扇发动机提供所需的控制性能，本文提出了一种非线性H _∞设定点控制方法。非线性H _∞设定点控制扩大了可控运行范围，限制了扰动对涡扇发动机的影响，可有效降低控制器切换频率，提高控制系统的稳定性。首先，采用简单的多项式非线性状态空间模型来逼近某些工况下涡扇发动机的非线性动力学。那么，非线性H _∞设定点控制器旨在确保涡轮风扇发动机的状态对外来干扰具有鲁棒性。最后，证明了所提出的控制器保证了渐近稳定性和鲁棒性。仿真结果表明，所提出的方法可以改善组件级发动机模型 JT9D 的瞬态响应、干扰抑制、喘振裕度和燃料消耗。