A Prescribed Performance Back-stepping Control Approach for Air-breathing Hypersonic Vehicles (CAC2020)

A prescribed performance back-stepping control approach is presented for a generic air-breathing hypersonic vehicle (AHV) with the uncertainties of the model and unknown disturbance. By prescribed performance, a novel performance function characterizing the error convergence rate, maximum overshoot and steady-state error is designed for the output error transformation without initial errors. In order to enhance the robustness of controller, the novel nonlinear disturbance observers (NDOs) based on tangent sigmoid tracking differentiators (TSTDs) are introduced to estimate and compensate the uncertainties of the model. To eliminate the "explosion of term" of back-stepping control strategy, sliding mode differentiators (SMDs) is applied to obtain the derivatives of virtual control laws. Finally, the tracking performance the proposed control approach is testified by simulation results.