Dynamic modeling of a two-wheeled inverted pendulum balancing mobile robot

Many of the currently available dynamic models for the two-wheeled balancing mobile robot have some common mistakes, which are mainly due to misunderstanding about the coordinate systems to describe the rotating motions and a lack of rigorous comparison with former derivations. This paper investigates the modeling procedures for the 2WBMR in terms of the Lagrangian approach and Kane’s method, through which an exact dynamic model is given, and we discuss how the modeling errors in the former works were induced. Numerical examples are given to see the effect of the erroneous terms on the postural stability.

[1]  Plamen Petrov,et al.  Dynamic modeling and adaptive motion control of a two-wheeled self-balancing vehicle for personal transport , 2010, 13th International IEEE Conference on Intelligent Transportation Systems.

[2]  Kaustubh Pathak,et al.  Velocity and position control of a wheeled inverted pendulum by partial feedback linearization , 2005, IEEE Transactions on Robotics.

[3]  Mi-Ching Tsai,et al.  Pilot control of an auto-balancing two-wheeled cart , 2007, Adv. Robotics.

[4]  Jun-Ho Oh,et al.  Human-friendly motion control of a wheeled inverted pendulum by reduced-order disturbance observer , 2008, 2008 IEEE International Conference on Robotics and Automation.

[5]  Alfred C. Rufer,et al.  JOE: a mobile, inverted pendulum , 2002, IEEE Trans. Ind. Electron..

[6]  Wen-June Wang,et al.  Design and Implementation of Fuzzy Control on a Two-Wheel Inverted Pendulum , 2011, IEEE Transactions on Industrial Electronics.

[7]  Shin'ichi Yuta,et al.  Trajectory tracking control for navigation of the inverse pendulum type self-contained mobile robot , 1996, Robotics Auton. Syst..

[8]  Sunil K. Agrawal,et al.  Band-Limited Trajectory Planning and Tracking for Certain Dynamically Stabilized Mobile Systems , 2006 .

[9]  Amir A. Bature,et al.  Multiple operating points model-based control of a two-wheeled inverted pendulum mobile robot , 2013 .

[10]  Mohammad Danesh,et al.  Fuzzy control based on LMI approach and fuzzy interpretation of the rider input for two wheeled balancing human transporter , 2010, IEEE ICCA 2010.

[11]  Shin'ichi Yuta,et al.  Baggage Transportation and Navigation by a Wheeled Inverted Pendulum Mobile Robot , 2009, IEEE Transactions on Industrial Electronics.

[12]  Qixin Cao,et al.  Modeling of self-tilt-up motion for a two-wheeled inverted pendulum , 2011, Ind. Robot.

[13]  Jian Huang,et al.  Sliding-Mode Velocity Control of Mobile-Wheeled Inverted-Pendulum Systems , 2010, IEEE Transactions on Robotics.

[14]  Yoon Keun Kwak,et al.  Dynamic Analysis of a Nonholonomic Two-Wheeled Inverted Pendulum Robot , 2005, J. Intell. Robotic Syst..

[15]  Jorge Angeles,et al.  A New Family of Two-Wheeled Mobile Robots: Modeling and Controllability , 2007, IEEE Transactions on Robotics.

[16]  Kasemsit Teeyapan,et al.  Robot limbo: Optimized planning and control for dynamically stable robots under vertical obstacles , 2010, 2010 IEEE International Conference on Robotics and Automation.

[17]  Thomas R. Kane,et al.  THEORY AND APPLICATIONS , 1984 .

[18]  Ching-Chih Tsai,et al.  Adaptive Robust Self-Balancing and Steering of a Two-Wheeled Human Transportation Vehicle , 2011, J. Intell. Robotic Syst..

[19]  Jun Luo,et al.  Adaptive Robust Dynamic Balance and Motion Controls of Mobile Wheeled Inverted Pendulums , 2008, IEEE Transactions on Control Systems Technology.

[20]  J. Minkel,et al.  Study of the Independence IBOT 3000 Mobility System: an innovative power mobility device, during use in community environments. , 2004, Archives of physical medicine and rehabilitation.

[21]  Seonghee Jeong,et al.  Wheeled inverted pendulum type assistant robot: design concept and mobile control , 2008, Intell. Serv. Robotics.