存在匹配/非匹配不确定性的飞机舵面故障$L_1$容错控制

针对飞机舵面故障时产生的各种内部未建模动态、系统不确定参数、未知输入增益等问题,提出一种同时存在匹配/非匹配不确定性的多输入多输出飞机舵面故障$L_1$容错控制方法.首先,推导出等效线性参数时变模型;然后,基于投影算子提出$L_1$自适应容错控制方法,推导Lyapunov方程,并证明稳定性;最后,分析所提方法的瞬态和稳态性能.仿真结果验证了所提出方法良好的容错性、鲁棒性和稳定性,并保证了系统各参数的瞬态和稳态有界性.

$L_1$ fault tolerant control for aircraft actuator fault with matched and unmatched uncertainties

When the aircraft actuator fails, there are a variety of internal unmodeled dynamics, system uncertain parameters and unknown input gain. Therefore, a $L_1$ adaptive fault tolerant control method for the multi-input multi-output aircraft actuator fault system with matched and unmatched uncertainties is proposed. Firstly, the equivalent(semi-) linear time-varying system is derived. Then, based on the projection operator, a $L_1$ adaptive fault tolerant controller is proposed. The Lyapunov equation is derived, and stability is proved. Finally, the transient and steady state performance of the controller are analyzed. The simulation results show the good fault tolerance performance, robustness and stability of the proposed method, meanwhile, the transient and steady state boundedness of system output, control signal and parameter estimation are ensured.