Development of a Robot Balanced on a Ball – First Report, Implementation of the Robot and Basic Control –
Masaaki Kumagai* and Takaya Ochiai**
*Tohoku Gakuin University
**Graduate school, Tohoku Gakuin University
This paper proposes the implementation and control scheme of a robot balanced on a ball. Unlike a twowheeled inverted pendulum, such as the Segway Human Transporter, an inverted pendulum using a ball moves in any direction without changing orientation, enabling isotropic movement and stabilization. The robot on the ball can be used in place of the twowheeled robots. Our robot has three omnidirectional wheels with stepping motors that drive the ball and two sets of rate gyroscopes and accelerometers as attitude sensors. It can keep station, traverse in any direction, and turn around its vertical axis. Inverted pendulum control is applied to two axes to maintain attitude. Ball acceleration is used as control input of the system, unlike most of inverted pendulums which use torque or force as input. This acceleration input makes the robot robust against change of inertia parameters, as confirmed by Nyquist diagrams. The mechanism of the robot, the control method, and the experimental results are described in this paper.
-  M. Kumagai, T. Ochiai, and N. Konno, “Development of Inverted Pendulums that Move on Floor –Balancing Robot on a Ball and Hopping Robot using a Linear Motor–,” Proc. Robomec08, 2P1-C11, 2008.
-  M. Kumagai and T. Ochiai, “Cooperative Transport using Robots Balanced on Balls,” Proc. Robomec09, 2P1-D18, 2009.
-  M. Kumagai and T. Ochiai, “Development of a Robot Balancing on a Ball,” Proc. ICCAS 2008, pp. 433-438, 2008.
-  M. Kumagai, and T. Ochiai, “Development of a robot balanced on a ball –Application of passive motion to transport–,” Proc. ICRA 2009, pp. 4106-4111, 2009.
-  H. G. Nguyen, J. Morrell, K. Mullens, A. Burmeister, S. Miles, N. Farrington, K. Thomas, and D. Gage, “Segway robotic mobility platform,” SPIE Proc. 5609: Mobile Robots XVII, pp. 207-220, 2004.
-  Y. Hosoda, S. Egawa, J. Tamamoto, K. Yamamoto, R. Nakamura, and M. Togami, “Development of Human-Symbiotic Robot “EMIEW” –Design Concept and System Construction–,” J. of Robotics and Mechatronics, Vol.18, No.2, pp. 195-202, 2006.
-  T. Emura and T. Sakai, “Study on Inverted Pendulum that Maintains Erect Position using Reaction Wheel,” Biomechanism, pp. 321-328, 1973 (in Japanese, available at CiNii, NAID:110004695233).
-  T. B. Lauwers, G. A. Kantor, and R. L. Hollis, “A Dynamically Stable Single-Wheeled Mobile Robot with Inverse Mouse-Ball Drive,” Proc. ICRA 2006, pp. 2884-2889, 2006.
-  U. Nagarajan, M. Anish Mampetta, G. Kantor, and R. Hollis, “State Transition, Balancing, Station Keeping, and Yaw Control for a Dynamically Stable Single Spherical Wheel Mobile Robot,” Proc. ICRA 2009, pp. 998-1003, 2009.
-  T. Endo and Y. Nakamura, “An Omnidirectional Vehicle on a Basketball,” Proc. ICAR’05, pp. 573-578, 2005.
-  D. Chugo, K. Kawabata, H. Kaetsu, H. Asama, and T. Mishima, “Development of Omni-directional Vehicle with Step-Climbing Ability,” Proc. ICRA 2003, pp. 3849-3854, 2003.
-  H. Asama, H. Kaetsu, I. Endo, and M. Sato, “Wheel for Omnidirectional Mobile Robot,” JP-patent No.3421290, 2003.
-  N. Hiraoka and T. Noritsugu, “Sliding Mode Posture Control of a Parallel Biwheel Vehicle Driven with Stepping Motor,” Trans. of the JSME. C, Vol.62, No.601, pp. 3580-3587, 1996.
-  N. Hiraoka and T. Noritsugu, “Reaction Force Control of a Parallel Biwheel Vehicle Driven with a Stepping Motor,” J. of Robotics and Mechatronics, Vol.11, No.5, pp. 356-361, 1999.
-  T. Emura, M. Kumagai, and K. Ogawa, “Expansion of Frequency Response Using Multiple Sensors and Subtraction Type of Filter,” Proc. Machatronics Vol.96, No.2, pp. 197-202, 1996.
-  C. Y. Chung, J. W. Lee, S. M. Lee, and B. H. Lee, “Balancing of an Inverted Pendulum with a Redundant Direct-Drive Robot,” Proc. ICRA 2000, pp. 3952-3957, 2000.
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