Non‐linear disturbance observer‐based back‐stepping control for airbreathing hypersonic vehicles with mismatched disturbances

Abstract

This study concerns with robust tracking control problem for the longitudinal model of airbreathing hypersonic vehicles (AHVs). The AHVs include serious non-linearities, strong couplings, parametric perturbations and mismatched disturbances, which results in great difficultly in the controller design. By using back-stepping method and non-linear disturbance observer technique, a novel composite controller is proposed, which can guarantee system outputs asymptotically track their reference signals. A new idea is that disturbance estimations are introduced into virtual control law in each step to compensate the mismatched disturbances. As compared with other robust flight control methods for AHVs, the developed method exhibits not only excellent robustness and disturbance rejection performance but also the property of nominal performance recovery. Finally, the effectiveness of the proposed method is demonstrated by simulation results.

Uniform stable observer for the disturbance estimation in two renewable energy systems

“…The structure at infinity method of [15,16] is employed for the disturbance rejection in linear systems. In [22], the disturbance estimations are considered into a virtual control law in each step to compensate the mismatched disturbances. The geometric approach is highly explained in [23].…”

Robust Course Keeping Control of a Fully Submerged Hydrofoil Vessel without Velocity Measurement: An Iterative Learning Approach

“…Disturbance observer based control (DOBC) approaches provide an active way to handle disturbances and improve the robustness of the closed-loop systems. The effectiveness of DOBC has been shown in many fields such as manipulator tracking control [18], missile guidance and control [19][20][21], and motor control [22,23]. However, traditional DOB methodology cannot be used in nonlinear dynamics due to the limitation of linear system theory, and the low pass filter 2 Mathematical Problems in Engineering must be designed strictly such that the convergence of the disturbance estimate can be guaranteed [16].…”

Robust Course Keeping Control of a Fully Submerged Hydrofoil Vessel with Actuator Dynamics: A Singular Perturbation Approach

“…But the convergence rate of weight function and the problem of extremum solving still remain to be settled. Disturbance rejection control is widely applied in rigid-body dynamics and servo systems [17][18][19]. Disturbance observer based control (DOBC) approaches can estimate the generalized disturbances and improve the robustness of the systems in an active way.…”

“…Disturbance observer based control (DOBC) approaches can estimate the generalized disturbances and improve the robustness of the systems in an active way. Control applications in many different fields have validated the effectiveness of the DOBC, such as manipulator tracking control [20], power system control [17,18], and missile guidance and 2 Mathematical Problems in Engineering control [19,21]. Due to the simple structure of the DOB, it is often used in real-time control applications for high precision.…”