Abstract
The existing prescribed performance control (PPC) strategies exhibit the fragility and nonguarantee of the prescribed performance when they are applied to dynamic systems with actuator saturation, and moreover, all of them are unable to quantitatively design prescribed performance. This article aims at remedying those deficiencies by proposing a new nonfragile PPC method for waverider vehicles (WVs) such that the quantitative prescribed performance can be guaranteed for tracking errors in the presence of actuator saturation. First, readjusting performance functions are developed to achieve quantitative prescribed performance and prevent the fragile problem. Then, low-complexity fuzzy neural control protocols are presented for velocity subsystem and altitude subsystem of WVs, while there is no need of recursive back-stepping design. Furthermore, auxiliary systems are designed to generate effective compensations on control constraints, which contributes to the guarantee of the desired prescribed performance, being proved via Lyapunov synthese. Finally, compared simulation results are given to validate the superiority.
Highlights
Considerable efforts have been made in the research field of waverider vehicles (WVs) for the Manuscript received XX, 2021; revised XX X, 202X; accepted XX XX, 202X
One of the critical issues in the development of WVs is represented by flight control system design that poses challenging problems owing to the unique features caused by airframe-integrated scramjet engine, hypersonic flight speed, extreme flight conditions, and large flight envelope
Prescribed performance control (PPC), firstly proposed by Bechlioulis et al, [7] provides a suitable tool for pursuing both transient performance and steady-state performance for control systems. It means that the tracking error e(t) should always evolve within a prescribed funnel “−ρ(t) < e(t) < ρ(t)” to satisfy some transient and steady-state specifications [8]-[12], where ρ(t) : R≥0 → R>0 is a performance function [13]
Summary
Considerable efforts have been made in the research field of waverider vehicles (WVs) for the Manuscript received XX, 2021; revised XX X, 202X; accepted XX XX, 202X. Too many online learning/adaptive parameters result in computation burden and further harm the real-time performance of control system This is not conducive to the realization of hypersonic and maneuver flight for WVs. Besides, it is worthy to point out that few of the existing PPC methodologies can effectively guarantee tacking errors with quantitative prescribed performance (i.e., convergence time, overshoot and steady-state error). The special contributions are summarized as follows: 1) A new type of performance functions, being able to actively readjust the constructed prescribed funnels according actuator saturation, are developed to tackle the fragile problem associated with the existing PPC strategies [13]-[15].
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