Adaptive backstepping control for air-breathing hypersonic vehicle subject to mismatched uncertainties

Abstract

This paper studies the tracking control problem of the air-breathing hypersonic vehicle (AHV) subject to mismatched uncertainties. A novel model transformation is proposed for AHV with uncertain parameters, to address the unavailable states problem of conventional model transformation. Then, a novel adaptive backstepping control method is proposed for a class of nonlinear system with mismatched uncertainties, and a projection operator is designed to avoid the singular problem. The adaptive controller guarantees asymptotical command tracking, instead of uniformly ultimate boundness (UUB), for the closed-loop uncertain system. Then, the proposed control scheme is directly applied to the design of flight controller based on the transformed model. Lastly, a detailed simulation is conducted to demonstrate the efficiency and superiority of the proposed method.