Abstract

This paper proposes a barrier function adaptive non-singular terminal sliding mode controller for a six-degrees-of-freedom (6DoF) quad-rotor in the existence of matched disturbances. For this reason, a linear sliding surface according to the tracking error dynamics is proposed for the convergence of tracking errors to origin. Afterward, a novel non-singular terminal sliding surface is suggested to guarantee the finite-time reachability of the linear sliding surface to origin. Moreover, for the rejection of the matched disturbances that enter into the quad-rotor system, an adaptive control law based on barrier function is recommended to approximate the matched disturbances at any moment. The barrier function-based control technique has two valuable properties. First, this function forces the error dynamics to converge on a region near the origin in a finite time. Secondly, it can remove the increase in the adaptive gain because of the matched disturbances. Lastly, simulation results are given to demonstrate the validation of this technique.

Highlights

  • The small type of unmanned aerial vehicles (UAVs) is named a quad-rotor, which has received significant consideration over the past decades [1,2]

  • Most designed control methods for quad-rotor systems focus on the position and attitude of the desired tracking control of the quad-rotor system, which forces the quad-rotor into the desired location [7,8,9]

  • The simulation outcomes using the barrier function-based adaptive nonsingular terminal sliding mode control (TSMC) approach are depicted in two different subsections

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Summary

Introduction

The small type of unmanned aerial vehicles (UAVs) is named a quad-rotor, which has received significant consideration over the past decades [1,2]. In order to obtain a better performance when disturbances occur, an adaptive non-singular TSMC scheme is applied Another issue in the design of controllers for the quad-rotor is the consideration of the matched disturbances, which always exist in practice [20,21,22,23,24,25]. According to the review of the recent articles about attitude and position tracking control of quad-rotors in the presence of matched disturbances, it can be concluded that no work has investigated the adaptive barrier function technique using the non-singular. Finite-time tracking control and disturbance rejection of the quad-rotor system in the presence of matched disturbances are investigated based on the adaptive nonsingular TSMC method using the barrier function theory.

Presentation of the Dynamical Model of the Quad-Rotor
Main Results
Adaptive Barrier Function Technique
Simulation Results
Abrupt Change in Matched Disturbance
Conclusions
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