Robust finite time tracking control of flexible hypersonic vehicle with uncertainties

This paper has studied and analyzed the tracking control problem of flexible hypersonic vehicle with the external disturbance and model parameter uncertainties. Firstly, the flexible modes, external disturbance and model parameter uncertainties are regarded as the unknown bounded lumped system disturbance, and the non-linear model of flexible hypersonic vehicle is divided into velocity sub-system and altitude sub-system. Secondly, the robust adaptive back-stepping tracking controllers are designed for velocity sub-system and altitude sub-system using the back-stepping control method and adaptive technology, respectively. Finally, the stability of the designed control strategy proved by Liapunov stability theory indicates that the system state is the practical finite time stability, and the effectiveness of the designed control strategy is verified by the digital simulation.