Abstract

The purpose of this article is to solve the fragile problem of prescribed performance control (PPC) with application to Waverider Vehicles (WVs). By fragile problem, it denotes that tracking errors may break away from prescribed funnels if actuators are saturated. Firstly, we propose a new type of readjusting prescribed performance which adaptively readjusts its prescribed funnels such that the spurred transient performance and steady-state performance are still guaranteed for tracking errors in the presence of actuator saturation. Then, we extend the finite-time PPC into the non-affine model of WVs, ensuring that tracking errors always evolve within prescribed funnels. Furthermore, the improved back-stepping procedure without the derivation of virtual control law is utilized to develop non-fragile tracking controllers, and specially, there is no need of any fuzzy/neural approximation, avoiding the computational burden problem. Finally, compared simulation results are presented to verify the effectiveness and advantage.

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