高超声速飞行器保预设性能的反演控制方法

为了解决高超声速飞行器纵向运动模型的稳定轨迹控制问题,设计了一种在非仿射模型基础上保证预设性能的反演控制方法。对于速度子系统,直接设计非仿射控制律,保证预设性能,通过合理的变换将高度子系统转化为严格的反馈形式,便于反演控制步骤的设计。基于动态性能和稳态精度,设计了预设性能函数,将跟踪误差的稳定性限制在预设范围内,引入指令滤波器,有效克服了传统反演控制中虚拟信号重复推导的问题。控制器的设计不依赖于精确的模型。引入径向基函数来逼近过程中的未知函数,使得控制律具有令人满意的鲁棒性和实用性。基于李雅普诺夫稳定性理论,证明了所有闭环系统的稳定性。仿真结果表明,该控制器能够稳定地跟踪参考信号。

Backstepping control method for hypersonic vehicles to guarantee prescribed performance

In order to solve the problem of stable trajectory control of hypersonic vehicle longitudinal motion model, a backstepping control method was designed to ensure the prescribed performance on the basis of non-affine model. For the velocity subsystem, the non-affine control law was directly designed to ensure the prescribed performance, and the altitude subsystem was transformed into a strict feedback form through reasonable transformation to facilitate the design of backstepping control steps. Based on dynamic performance and steady-state accuracy, the preset performance function was designed to limit the stability of tracking error within the preset range, and the instruction filter was introduced to effectively overcome the problem of repeated derivation of virtual signal in traditional inversion control. The design of the controller does not depend on the exact model. The radial basis function was introduced to approximate the unknown function in the process. As a result, the control law has satisfactory robustness and practicability. Based on the Lyapunov stability theory, the stability of all closed-loop systems was proved. Simulation results show that the controller can track the reference signal stably.