Barrier Lyapunov function based adaptive finite-time control for hypersonic flight vehicles with state constraints

Chaoyang Dong; Yang Liu; Qing Wang

doi:10.1016/j.isatra.2019.06.011

Barrier Lyapunov function based adaptive finite-time control for hypersonic flight vehicles with state constraints

ISA Trans. 2020 Jan:96:163-176. doi: 10.1016/j.isatra.2019.06.011. Epub 2019 Jul 1.

Authors

Chaoyang Dong¹, Yang Liu², Qing Wang³

Affiliations

¹ School of Aeronautic Science and Engineering, Beihang University, Beijing, China.
² School of Aeronautic Science and Engineering, Beihang University, Beijing, China. Electronic address: pieceofhev@buaa.edu.cn.
³ School of Automation Science and Electrical Engineering, Beihang University, Beijing, China.

PMID: 31280884
DOI: 10.1016/j.isatra.2019.06.011

Abstract

This paper investigates the finite-time tracking control problem of the hypersonic flight vehicle (HFV) with state constraints. Firstly, a control-oriented model is introduced to enable the application of adaptive backstepping scheme. To meet strict requirements in terms of working conditions of HFV, barrier Lyapunov function is adopted to constrain the tracking errors, while piecewise saturation function is constructed to restrict the virtual signals. To guarantee the finite-time convergent property of HFV dynamics, an adaptive scheme in accordance with finite-time stability theory is designed. Meanwhile, a sliding mode differentiator is employed to estimate the derivatives of the virtual control laws. Novel auxiliary systems are then designed to consider the side effects of the possible saturation and to maintain the finite-time convergent property. In the final stage, the effectiveness and performance of the proposed method is demonstrated by numerical simulations.

Keywords: Adaptive backstepping; Barrier Lyapunov function; Finite-time convergence; Flight state constraint; Hypersonic flight vehicle.