高超声速飞行器非仿射模型的预设性能反演控制
Prescribed performance control method for non-affine model of hypersonic vehicles

针对高超声速飞行器高动态、快时变、强耦合、不确定与多约束的非仿射模型,设计了一种无需估计或逼近的新型预设性能反演控制方法。将高超声速飞行器纵向运动模型分解为速度子系统和高度子系统并表示为非仿射形式,并对两个子系统分别设计预设性能反演控制器。所设计的控制器不再需要虚拟控制律对时间求导,避免了“微分膨胀问题”。通过设计性能函数,保证跟踪误差限定在预期范围内,使控制器具有满意的瞬态性能和稳态性能,同时明显降低了计算量。最后,通过仿真验证了控制器的有效性及可行性。
Aiming at non-affine models of hypersonic vehicles with high dynamic, fast time-varying, strong coupling, uncertain and multi-constrained, a new prescribed performance backstepping control method without estimation or approximation is designed. The hypersonic vehicle longitudinal motion model is decomposed into a velocity subsystem and an altitude subsystem and expressed as non-affine forms, and a prescribed performance backstepping controller is designed for each of the two subsystems. The designed controller no longer needs the time’s derivative of virtual control laws, avoiding the "differential explosion problem". By designing the performance function, the tracking error is guaranteed to be within the expected range, so that the controller has satisfactory transient performance and steady state performance, while significantly reducing the burden of computing. Finally, the effectiveness and feasibility of the controller are verified by simulation