飞机全电防滑刹车系统稳定动态面控制

针对机电作动的飞机防滑刹车模型具有的高阶非线性及参数时变特点,提出一种基于障碍Lyapunov函数的动态面控制方法,实现对滑移率的上界约束,保障防滑刹车系统的稳定性。建立飞机刹车动力学模型,与机电作动器的数学模型联立得到整体刹车系统的状态空间模型,并合理简化为严格反馈形式。将刹车系统的控制稳定性问题等效描述为含输出约束的非线性系统镇定问题,设计动态面控制律并通过Lyapunov方法证明滑移率跟踪误差半全局一致最终有界,刹车工作点始终保持在稳定区域内。仿真结果表明,本文所提控制策略具有稳定性优势,且改善了传统控制存在的中低速时滑移率振荡问题,控制效果有显著提升。

Enhanced stability dynamic surface control for aircraft antiskid braking system using electromechanical actuator

For overcoming the higher order nonlinearity and parameters variability in the model of the antiskid braking system （ABS） of aircraft, a dynamic surface control approach based on the barrier Lyapunov function （BLF） is proposed to design the slip ratio tracking control with an output upper constraint. The primary purpose of the BLF is to keep the closed-loop system operates within the stable region of the adhesion coefficient curve. As for control purpose， only longitudinal dynamics of the aircraft are considered, in combination with the model of the electromechanical actuator, the whole state space model of the ABS is described as the strict feedback form. In some ways, the control objective should be regarded as the stabilization of the nonlinear system with output constraints. Lyapunov stability analysis of the closed-loop system indicates that the proposed control strategy guaranteed the tracking error of slip ratio is semi-globally uniformly ultimately bounded and converging toward an arbitrarily small neighborhood of the origin. Simulation results validate the effectiveness of the proposed method. Compared with the traditional control method, this control scheme not only has an obvious advantage in its stability but also avoid the large oscillation of the slip ratio particularly at the end of the braking. As a result, the performance of the system is enhanced significantly.