Performance Guaranteed Finite-Time Non-Affine Control of Waverider Vehicles Without Function-Approximation

Waverider Vehicles (WVs) show great potential in air and space transportation. This article aims at exploring finite-time prescribed performance control (FPPC) for WVs, being able to guarantee the spurred performance. Firstly, the dynamics of WVs is decomposed as the velocity subsystem and the altitude subsystem of non-affine formulations. Then, a new type of back-stepping controller without any approximation/estimation is devised based on FPPC, such that all tracking errors satisfy spurred finite-time prescribed performance. Moreover, the closed-loop stability and the guarantee of prescribed performance are proved via Lyapunov synthesis. The special contribution is that no fuzzy/neural approximation/estimation is required for the resistance of unknown dynamics, yielding a low computation and complexity design. Finally, compared simulation results with practical examples are presented to validate the superiority.