Finite-Time Fuzzy Adaptive Constrained Tracking Control for Hypersonic Flight Vehicles With Singularity-Free Switching

Abstract

This work proposes a fuzzy adaptive design solving the finite-time constrained tracking for hypersonic flight vehicles (HFVs). Actuator dynamics and asymmetric time-varying constraints are considered when solving this problem. The main features of the proposed design lie in: (a) introducing a novel piecewise but differentiable switching control law, with an appropriate design thought to avoid singularity issues typical of finite-time control; (b) handling actuator magnitude, bandwidth, and rate constraints, thanks to the introduction of an auxiliary compensating system counteracting the adverse effects caused by actuator physical constraints, while guaranteeing the closed-loop stability; (c) handling asymmetric time-varying state constraints, thanks to the introduction of tan-type barrier Lyapunov functions (BLFs) working for both constrained and unconstrained scenarios. Comparative simulation results illustrate the effectiveness of the proposed strategy over existing methods for HFVs in terms of convergence, smoothness, actuator performance, and constraints satisfaction.

Fuzzy Adaptive Finite-Time Tracking for Hypersonic Flight Vehicles Using Switching Event-Triggered Methodology

“…Model ( 1)-( 7) has been widely adopted in related literature (e.g. [17]- [19]): it contains 5 rigid body states (velocity V , altitude h, flight path angle γ, pitch angle θ, and pitch rate Q), 2 flexible states (i-th generalized flexible coordinate η i , i = 1, 2), and 2 control inputs (fuel equivalence ratio Φ and elevator angular deflection δ e ). For more details on the various parameters, the reader is referred to [17].…”

Fuzzy Adaptive Constrained Consensus Tracking of High-Order Multi-agent Networks: A New Event-Triggered Mechanism

“…Besides, in practical engineering systems, the states are typically required to satisfy various restrictions and the violation of these constraints may deteriorate system performance, or even cause instability [33], [34]. Barrier Lyapunov function (BLF) originally proposed in [35] has been successfully utilized to handle such an issue in the context of multiagent networks [36]- [39].…”

Barrier Lyapunov function-based fixed-time FTC for high-order nonlinear systems with predefined tracking accuracy

“…From a practical perspective, the rate of convergence is of great significance to the transient tracking performance [20,21]. Recently, the finite-time tracking control for lower-/high-order nonlinear systems is investigated in [22][23][24], which makes the tracking error converge into the compact set within a finite time. Nevertheless, the convergence time achieved in [22][23][24] depends on the initial states of the system.…”

“…Recently, the finite-time tracking control for lower-/high-order nonlinear systems is investigated in [22][23][24], which makes the tracking error converge into the compact set within a finite time. Nevertheless, the convergence time achieved in [22][23][24] depends on the initial states of the system. This inevitably brings up a problem, that is, the convergence time cannot be accurately settled when the initial states of the system are unknown.…”