多约束下高超声速飞行器鲁棒自适应抗扰控制

Robust Adaptive Anti-disturbance Control for Hypersonic Vehicles with Multiple Constraints

  • 摘要: 针对具有不确定性、动态干扰和多约束的高超声速飞行器的纵向运动控制问题,将高超声速飞行器纵向运动等价解耦为速度子系统和高度子系统,并提出一种鲁棒自适应抗扰控制方案。首先,将经典PID控制与固定时间预设性能函数相结合,为高超声速飞行器速度子系统提出了一种固定时间预设性能非线性PID速度跟踪控制器。其次,考虑到高度子系统的动态与稳态性能和迎角约束的问题,基于非线性映射将受约束的高度子系统等价转换为无约束非线性系统,并构造辅助抗饱和系统解决系统输入受饱和约束的问题;在此基础上,进行神经网络和非线性干扰观测器的耦合设计实现对系统不确定性和动态干扰的精确逼近/估计。最后,基于动态面法为高超声速飞行器高度子系统设计了鲁棒自适应抗扰控制方法,并从理论上严格证明闭环系统的稳定性且系统的所有约束均不被违背。仿真实验验证了所提出的控制方法的可行性和有效性。

     

    Abstract: For the longitudinal motion control issue of hypersonic vehicles subjected to uncertainties, we equivalently divide dynamic disturbances and multiple constraints, longitudinal motion equations of hypersonic vehicles into a velocity subsystem and an altitude subsystem, and propose a robust adaptive anti-disturbance control scheme. Firstly, we develop a fixed-time prescribed performance nonlinear PID velocity tracking control scheme for the velocity subsystem based on the traditional PID control and a fixed-time prescribed performance function. Secondly, we equivalently transform the constrained altitude subsystem into an unconstrained nonlinear system via nonlinear mapping technology to solve the dynamic/steady-state tracking performance and angle of attack constrained problem, and present an auxiliary antisaturation system to tackle the input saturation constraint. Then, we develop a coupled design of neural networks and nonlinear disturbance observers to guarantee accurate approximation and estimation of uncertainties and dynamic disturbances. Finally, we propose a robust adaptive anti-disturbance control scheme for the altitude subsystem based on the dynamic surface control, and the stability of the closed-loop system is rigorously proven with all constraints compliant.

     

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