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Stabilization of a bicycle with two-wheel steering and two-wheel driving by driving forces at low speed

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Abstract

Recently, the personal mobility vehicle (PMV), a vehicle suitable for personal use, has been developed. It moves at low speed and is sufficiently small that it can be ridden in pedestrian space. This vehicle is expected to be a new method of transportation that is practical and environmentally friendly. As one form of PMV, the authors propose a twowheel vehicle with two modes: a two-wheel steering and two-wheel driving bicycle mode and a parallel two-wheel mode. This vehicle has four electric motors, two for driving and two for steering, and one generator connected to the pedals. In the bicycle mode, the rider rotates the pedals to generate electric power, and the motors in the wheels produce torque using the generated energy. The front and rear wheels are steered by the electric motor according to the angle of the handle. Therefore, this bicycle is controlled by a steer-by-wire and a drive-by-wire system. In the parallel two-wheel mode, the vehicle is stabilized according to the theory of the inverted pendulum. In this paper, we focus on the bicycle mode and analyze its stability. Stabilizing the bicycle is not easy since the proposed vehicle has tires with small diameters and the traveling speed is assumed to be low. It is known that the stability of bicycles is tuned by adjusting the bicycle parameters and changing the rear steer angle. However, since we aim to use the vehicle in a narrow walking space at low speed, such conventional methods are not always suitable. The authors propose the stabilization of the bicycle using driving forces and design a controller using linear-quadratic control theory. The results of the numerical simulations show the proposed method is effective in stabilizing the bicycle.

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Authors and Affiliations

  1. Department of Engineering Synthesis, University of Tokyo, 4-6-1, Komaba, Meguro, Tokyo, Japan

    Chihiro Nakagawa

  2. Institute of Industrial Science, University of Tokyo, 4-6-1, Komaba, Meguro, Tokyo, Japan

    Yoshihiro Suda & Kimihiko Nakano

  3. Department of Mechanical Engineering, Tokyo Metropolitan University, 1-1, Minamiosawa, Hachioji, Tokyo, Japan

    Shoichiro Takehara

Authors
  1. Chihiro Nakagawa
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  2. Yoshihiro Suda
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  3. Kimihiko Nakano
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  4. Shoichiro Takehara
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Corresponding author

Correspondence to Shoichiro Takehara.

Additional information

Chihiro Nakagawa received her M.S. degree in Department of Engineering Synthesis from University of Tokyo, Japan, in 2007. She is currently a doctoral student at the department at University of Tokyo and serves as a JSPS Research Fellow.

Yoshihiro Suda received his Dr. Eng. degree in Department of Engineering Synthesis from University of Tokyo, Japan, in 1987. He is currently a Professor at the Institute of Industrial Science and the Director of Chiba Experiment Station, University of Tokyo.

Kimihiko Nakano received his Dr. Eng. degree in Department of Engineering Synthesis from University of Tokyo, Japan, in 2000. He is currently an Associate Professor at the Institute of Industrial Science, University of Tokyo.

Shoichiro Takehara received his Dr. Eng. degree in Department of Engineering Synthesis from Sophia University, Japan, in 2004. He is currently an Assistant Professor at the Department of Mechanical Engineering at Tokyo Metropoli-tan University.

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Nakagawa, C., Suda, Y., Nakano, K. et al. Stabilization of a bicycle with two-wheel steering and two-wheel driving by driving forces at low speed. J Mech Sci Technol 23, 980–986 (2009). https://doi.org/10.1007/s12206-009-0325-4

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  • DOI: https://doi.org/10.1007/s12206-009-0325-4

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