Prescribed Performance Tracking Control for Hypersonic Flight Vehicles with Model Uncertainties

Abstract

This paper proposes a novel prescribed performance tracking control for a hypersonic flight vehicle (HFV) with model uncertainties. Firstly, a HFV longitudinal motion model is decomposed into a velocity subsystem and an altitude subsystem. Meanwhile, considering the uncertainties of the model, the velocity subsystem and altitude subsystem are directly expressed as the forms with unknown nonaffine functions. Secondly, a novel performance function without initial error is proposed for limiting the tracking error into a prescribed range. Then, for the altitude subsystem, the control objective is changed by model transformation and the prescribed performance backstepping controller is designed. For the velocity subsystem, a prescribed performance proportional-integral controller is proposed which has better engineering practicability. The designed controller is not only simple in form but also has few calculating parameters. Finally, the simulation results show that the proposed controller has good practicability.

Practical Energy Dissipation Control of Near Space Glider on Independent Longitudinal Plane

“…where w q is the total disturbance, which makes the real plant (18) deviate from an integrator. Equation (20) treats x 2 as a whole regardless of its physical meaning and origin.…”

“…In the literature, the most popularly used approaches are dynamic inversion [5], back-stepping control [6], sliding mode control [7][8][9], neural network control [10][11][12][13][14], and dis-turbance observer-based control [15][16][17]. In recent years, prescribed performance control is also applied to hypersonic vehicles [18]. For most of the above advanced control methods, sufficient knowledge about the aerodynamic characteristics is required and complicated modelling must be included in the controller design, which is not preferred in practice.…”

Adaptive Fixed‐Time Trajectory Tracking Control for Underactuated Hovercraft with Prescribed Performance in the Presence of Model Uncertainties

“…Now, the prescribed performance control strategy has been applied to many practical system controls, such as servo system [14], air vehicles [15,16], and robots [17,18]. With the further research of scientific researchers, a series of improved prescribed performance control technology has been proposed in [19][20][21][22][23] to constrain the transient and steady-state performance of the control system. An envelope-constraint-based tracking control method for airbreathing hypersonic vehicles with unknown nonaffine formulations is proposed in [19], and the desired transient performance is guaranteed for velocity and attitude tracking errors using envelope constraint.…”

“…An envelope-constraint-based tracking control method for airbreathing hypersonic vehicles with unknown nonaffine formulations is proposed in [19], and the desired transient performance is guaranteed for velocity and attitude tracking errors using envelope constraint. In [21], a novel performance function without the information of the initial error is proposed for limiting the tracking error of hypersonic flight vehicles into a prescribed range. A new prescribed performance control approach utilizing transformed errors instead of initial tracking errors is proposed for uncertain nonlinear dynamic systems in [22].…”

Guardian Map Approach to Feasible Range of Static Stability Margin of Hypersonic Flight Vehicles with Input Saturation

“…Large flight envelopes [1], unstable longitudinal dynamics with input saturation [2], and environmental uncertainty [3] lead to a great of difficulty in flight control system design of hypersonic flight vehicles (HFV). Besides, tracking control for HFV with model uncertainties for prescribed performance is a challenging task [4]. Plenty of advanced control methods have been investigated to address the flight control problems [5,6].…”