Multiple Lyapunov function-based longitudinal maneuver control of air-breathing hypersonic vehicles

Abstract

For the longitudinal maneuver mission of air-breathing hypersonic vehicles, this paper develops an adaptive control strategy based on multiple Lyapunov function method. A switched model is applied to describe vehicle dynamics within the admissible range of velocity and altitude, as well as to make a proper tradeoff between modelling accuracy and design complexity. In comparison to the existing common Lyapunov function-based control, the proposed control is less conservative and requires relatively small input by directly identifying uncertain parameters in the switched model. Moreover, the tedious analytical differentiations in back-stepping are bypassed by the integration of dynamic surface control and online differentiator technique. A simulation study is provided to verify the proposed control.

Keywords:

• Air-breathing hypersonic vehicle
• longitudinal maneuver
• adaptive flight control
• uncertain switched model
• multiple Lyapunov function

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This study was funded in part by the National Postdoctoral Program for Innovative Talents [Grant No.: BX201700064], in part by the China Postdoctoral Science Foundation [Grant No.: 2018M631933], and in part by the Heilongjiang Postdoctoral Financial Assistance [Grant No.: LBH-Z17079]