Robust backstepping control with prescribed performance for inner-loop longitudinal system of hypersonic vehicles under input constraint

Abstract

The transient and steady state with prescribed performance should be taken into consideration in the control methods for hypersonic vehicles. On the basis of robust backstepping idea, we propose a controller design method with prescribed performance under the strong nonlinearity and input constraint existing in the design model. The auxiliary subsystems are constructed to deal with the input constraint problems, and we design integral type switching surfaces as well as compensation terms in order to improve the robustness of the whole system. The whole closed-loop system is stable in the sense of Lyapunov and all error states of the inner-loop longitudinal dynamics of hypersonic vehicles satisfy the prescribed transient and steady performance. The given simulation results demonstrate the effectiveness of the proposed control method.