This paper investigates nonlinear robust fault-tolerant control for turbofan engines with actuator faults. The nonlinear robust fault-tolerant control method is proposed in this paper, which can guarantee the fault tolerance and robustness of turbofan engines when faults and disturbances occur. The design method is implemented in three steps: Firstly, the dynamic effects caused by actuator faults on turbofan engines are analyzed and then the multivariable polynomial state-space model of turbofan engines with actuator faults is proposed. Secondly, appropriate design parameters are chosen according to fault information. Thirdly, the nonlinear robust fault-tolerant control law for turbofan engines with actuator faults is designed by solving an optimization problem. In addition, stability and L2$L_2$$L_2$ gain-like for turbofan engines with bounded disturbances and actuator faults are guaranteed by the proposed nonlinear robust fault-tolerant control method. The distinctive characteristic of the paper is that the nonlinear robust fault-tolerant control method for turbofan engines against actuator faults is proposed which can relax the accuracy requirements of the fault diagnosis subsystem and improve the fault-tolerant performance of the closed-loop control system. Simulations show that the nonlinear robust fault-tolerant control method has better control performances including transient responses, disturbance rejection, and fault tolerance for the turbofan engine with actuator faults.

本文研究了具有执行器故障的涡扇发动机的非线性鲁棒容错控制。本文提出了非线性鲁棒容错控制方法，可以保证涡扇发动机在故障和扰动发生时的容错性和鲁棒性。该设计方法分三步实现：首先分析了执行器故障对涡扇发动机的动态影响，然后提出了执行器故障涡扇发动机的多变量多项式状态空间模型。其次，根据故障信息选择合适的设计参数。第三，通过求解优化问题，设计了执行器故障涡扇发动机非线性鲁棒容错控制律。此外，稳定性和大号2${\mathrm{大号}}_2$$L_2$所提出的非线性鲁棒容错控制方法保证了具有有界扰动和执行器故障的涡扇发动机的类增益。论文的显着特点是提出了涡扇发动机执行器故障非线性鲁棒容错控制方法，可以放宽故障诊断子系统的精度要求，提高闭环控制系统的容错性能。仿真结果表明，非线性鲁棒容错控制方法对执行器故障的涡扇发动机具有较好的控制性能，包括瞬态响应、抗扰性和容错性。