高超声速飞行器预设性能反演鲁棒控制

Prescribed performance back-stepping robustness control of a flexible hypersonic vehicle

针对吸气式高超声速飞行器的飞行控制问题,提出一种新的预设性能模糊反演控制设计方法。通过构造一种新的预设性能函数,在初始误差正负未知的情况下,可以保证跟踪误差能够按照预定的收敛速度、超调量及稳态误差收敛至任意小的区域,同时实现了对跟踪误差稳态性能和瞬态性能的约束。为提高控制系统的鲁棒性,在反演控制的设计框架下,引入模糊控制器逼近动力学模型中的不确定项。为避免传统反演方法中存在的"微分膨胀"问题,引入滑模微分器对虚拟控制量的导数进行精确估计。最后,通过不同初始误差下的轨迹仿真验证所设计控制系统的有效性。

The design of prescribed performance fuzzy back-stepping tracking control for a flexible airbreathing hypersonic vehicle is discussed. A prescribed performance function characterizing the error convergence rate,maximum overshoot and steady-state error is designed for the output error transformation without plus or minus of initial errors. In order to enhance the robustness of controller,back-stepping controller with fuzzy logic systems was applied to approximate the lumped uncertainty of model. Sliding mode differentiator was introduced to obtain the derivatives of virtual control laws,which avoided the explosion of differentiation terms in the traditional back-stepping control. Finally,reference trajectory tracking simulation with different initial errors shows the effectiveness of the proposed method.