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An Adaptive Backstepping Trajectory Tracking Control of a Tractor Trailer Wheeled Mobile Robot

  • Nguyen Thanh Binh
  • Nguyen Anh Tung
  • Dao Phuong NamEmail author
  • Nguyen Hong Quang
Regular Papers Robot and Applications
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Abstract

The considered Tractor Trailer Wheeled Mobile Robot (TTWMR) is type of Mobile Robot including a master robot – Tractor and slave robots – Trailers which moves along Tractor to track a given desired trajectory. The main difficulties of the stabilization and the tracking control of TTWMR are due to nonlinear and underactuated systems subjected to nonholonomic constraints. In order to overcome these problems, firstly, we develop the model of TTWMR and transform the tracking error model to the triangular form to propose a control law and an adaptive law. Secondly, the varying time state feedback controllers are designed to generate actuator torques by using Backstepping technique and Lyapunov direct’s method, in that these are able to guarantee the stability of the whole system including kinematics and dynamics. In addition, the Babarlat’s lemma is used to prove that the proposed tracking errors converge to the origin and the proposed adaptive law is carried on to tackle unknown parameter problem. The simulations are implemented to demonstrate the effective performances of the proposed adaptive law and the proposed control law.

Keywords

Adaptive control backstepping design tracking control tractor trailer wheeled mobile robot 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Nguyen Thanh Binh
    • 1
  • Nguyen Anh Tung
    • 2
  • Dao Phuong Nam
    • 2
    Email author
  • Nguyen Hong Quang
    • 3
  1. 1.School of Electrical EngineeringUniversity of UlsanUlsanKorea
  2. 2.Department of Automatic ControlHanoi University of Science and TechnologyHanoiVietnam
  3. 3.Departement of AutomationThai Nguyen University of TechnologyThaiVietnam

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