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Precise Curve Motion Control of a Segway by Compensating the Centrifugal Force with SEAs

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  • Control Theory and Applications
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Abstract

In this paper, the slope of the footplate is adjusted to compensate for the centrifugal force with a series elastic actuator (SEA) attached to the Segway’s body to improve the cornering characteristics during turning. To ensure Segway’s driving safety in the curvature motion, it is necessary to compensate for the centrifugal force by tilting the footplate to generate inward force by the reaction force from the footplate. When the footplate is tilted under the control of SEA, the vertical load on both wheels has been changed accordingly. The frictional force of the wheel has been changed by the change of the vertical force, which requires adjustment of driving torque to keep the curvature trajectory. That is, the driving torque has been controlled to keep the curvature trajectory considering the frictional force caused by the turning motion. Four SEAs are attached to the footplate to control the slope of the footplate and the real curvature motion has been demonstrated to verify the effects of SEAs in the high-speed curvature motion.

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References

  1. L. J. Pinto, D.-H. Kim, J. Y. Lee, and C.-S. Han, “Development of a Segway robot for an intelligent transport system,” Proc. of IEEE/SICE Int. Symposium on System Integration (SII), Fukuoka, Japan, pp. 710–715, 2012.

    Google Scholar 

  2. S. Kim, J. Seo, and S. Kwon, “Development of a twowheeled mobile tilting & balancing (MTB) robot,” Proc. of 11th Int. Conference on Control, Automation and Systems, IEEE, Gyeonggi-do, Korea, pp. 1–6, 2011.

    Google Scholar 

  3. A. Todoruţ, N. Cordoş, A. Marian, and M. Bălcău, “Evaluation of the transversal stability parameters for the vehicles with two wheels locate in parallel, segway type,” Acta Technica Napocensis-Series: Applied Mathematics, Mechanics, and Engineering, vol. 60, no. 2, pp. 205–216, 2017.

    Google Scholar 

  4. J. Yunta, D. Garcia-Pozuelo, V. Diaz, and O. Olatunbosun, “A strain-based method to detect tires’ loss of grip and estimate lateral friction coefficient from experimental data by fuzzy logic for intelligent tire development,” Sensors, vol. 18, no. 2, pp. 490, 2018.

    Article  Google Scholar 

  5. J. He, D. A. Crolla, M. Levesley, and W. Manning, “Coordination of active steering, driveline, and braking for integrated vehicle dynamics control,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 220, no. 10, pp. 1401–1420, 2006.

    Google Scholar 

  6. A. Tavasoli, M. Naraghi, and H. Shakeri, “Optimized coordination of brakes and active steering for a 4WS passenger car,” ISA Transactions, vol. 51, no. 5, pp. 573–583, 2012.

    Article  Google Scholar 

  7. J. He, D. A. Crolla, M. C. Levesley, and W. J. Manning, “Integrated active steering and variable torque distribution control for improving vehicle handling and stability,” Proc. of SAE World Congress, pp. 638–647, 2004.

    Google Scholar 

  8. S. H. Park, J. U. Bang, H. N. Yoon, and J. M. Lee, “Electronic compact full-active suspension system based on series elastic actuator for personal mobility,” Journal of The Institute of Electronics and Information Engineers, vol. 55, no. 5, pp. 82–88, 2018.

    Article  Google Scholar 

  9. J. Bang, M. Choi, D. Lee, J. Park, E. Park, G. Lee, and J. Lee, “Variable stiffness series elastic actuator design for active suspension,” Journal of Korea Robotics Society, vol. 14, no. 2, pp. 131–138, 2019.

    Article  Google Scholar 

  10. H. N. Yoon, J. U. Bang, J. H. Kim, and J. M. Lee, “High speed segway control with series elastic actuator for driving stability improvement,” Journal of Mechanical Science and Technology, vol. 33, no. 11, pp. 5449–5459, 2019.

    Article  Google Scholar 

  11. H. N. Yoon, H. Zhang, and J. M. Lee, “Stability improvement of segway based on tire model using the SEA,” Robotica, vol. 39, no. 1, pp. 42–54, 2021.

    Article  Google Scholar 

  12. H. N. Yoon, J. U. Bang, J. H. Kim, and J. M. Lee, “Driving stability improvement of high speed segway with the series elastic actuator,” Journal of the Institute of Electronics and Information Engineers, vol. 56, no. 4, pp. 101–109, 2019.

    Article  Google Scholar 

  13. A. Nizard, B. Thuilot, and R. Lenain, “Tire longitudinal grip estimation for improved safety of vehicles in off-road conditions,” Proc. of IEEE Int. Conference on Robotics and Automation (ICRA), Seattle, USA, pp. 3368–3373, 2015.

    Google Scholar 

  14. J. Kim, J. Lee, and S. H. Joo, “Design of lateral force estimation model for rough terrain mobile robot and improving estimation reliability on friction coefficient,” Journal of Korea Robotics Society, vol. 13, no. 3, pp. 174–181, Aug. 2018.

    Article  Google Scholar 

  15. H. B. Pacejka and E. Bakker, “The magic formula tire model,” Int. Journal of Vehicle Mechanics and Mobility, vol. 21, pp. 1–18, 1992.

    Google Scholar 

  16. J. Spike, Adaptive Tire Model for Dynamic Tire-Road Friction Force Estimation, University of Waterloo, 2013.

    Google Scholar 

  17. K. B. Singh and S. Sivaramakrishnan, “An adaptive tire model for enhanced vehicle control systems,” SAE Int. Journal of Passenger Cars Mechanical Systems, vol. 8, no. 1, pp. 128–145, 2015.

    Article  Google Scholar 

  18. T. Kabbani, C. A. Lúa, and S. di Gennaro, “Vehicle reference generator for collision-free paths,” Int. Journal of Control, Automation and Systems, vol. 17, no. 1, pp. 181–192, 2019.

    Article  Google Scholar 

  19. C. Kim, A. M. Ashfaq, S. Kim, S. Back, Y. Kim, S. Hwang, J. Jang, and C. Han, “Motion Control of a 6WD/6WS wheeled platform with in-wheel motors to improve its maneuverability,” Int. Journal of Control, Automation and Systems, vol. 13, no. 2, pp. 434–442, 2015.

    Article  Google Scholar 

  20. S. Wang and J. Zhai, “A trajectory tracking method for wheeled mobile robots based on disturbance observer,” Int. Journal of Control, Automation and Systems, vol. 18, no. 8, pp. 2165–2169, 2020.

    Article  Google Scholar 

  21. Z. Ping, Q. Ma, H. Tang, Q. Tan, and J.-G. Lu, “Speed tracking and nonlinear disturbance rejection of PM synchronous motor by internal model design,” Int. Journal of Control, Automation and Systems, vol. 15, no. 4, pp. 1684–1692, 2017.

    Article  Google Scholar 

  22. R. Kamnik, F. Boettiger, and K. Hunt, “Roll dynamics and lateral load transfer estimation in articulated heavy freight vehicles,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 217, no. 11, pp. 985–997, 2003.

    Google Scholar 

  23. C. Fraser, “D’Alembert’s principle: The original formulation and application in Jean D’Alembert’s Traité de dynamique (1743),” Centaurus, vol. 28, no. 1, pp. 31–61, 1985.

    Article  MathSciNet  Google Scholar 

  24. Y. Gao and M. Ehsani, “Electronic braking system of EV and HEV-integration of regenerative braking, automatic braking force control and ABS,” SAE Transactions, pp. 576–582, 2001.

    Google Scholar 

  25. H. Zheng, S. Ma, L. Fang, W. Zhao, and T. Zhu, “Braking intention recognition algorithm based on electronic braking system in commercial vehicles,” Int. Journal of Heavy Vehicle Systems, vol. 26, no. 3–4, pp. 268–290, 2019.

    Article  Google Scholar 

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Correspondence to Jangmyung Lee.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This material is based upon work supported by the Ministry of Trade, Industry & Energy (MOTIE, Korea) under Industrial Technology Innovation Program No. 10062443, “40 km/h of balancing robot with active suspension.”

Jin-Uk Bang received his B.S. degree in electronics engineering from Silla University, Korea, in 2017 and an M.S. degree in electronics engineering from Pusan National University, Korea, in 2019. He is currently working on a Ph.D. at Pusan National University. His research interests include motor control, sensor control, and driving robot.

Ji-Hyeon Kim received her B.S. degree in electronics engineering from Gyeongnam National University of Science and Technology, Korea, in 2018. She is currently pursuing an M.S. degree at Pusan National University, Korea. Her research interests include motor control, microprocessor application, and circuit design.

Jangmyung Lee received his B.S. and M.S. degrees in electronics engineering from Seoul National University, Seoul, Korea, in 1980 and 1982, respectively, and a Ph.D. degree in computer engineering from the University of Southern California, Los Angeles, USA, in 1990. He has been a professor at the Intelligent Robot Laboratory, Pusan National University, Busan, Korea, since 1992. His current research interests include intelligent robotic systems, ubiquitous ports, and intelligent sensors. Prof. Lee is a past president of the Korean Robotics Society and a vice president of Institute of Control, Robotics, and Systems. In addition, he heads the National Robotics Research Center, SPENALO.

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Bang, JU., Kim, JH. & Lee, J. Precise Curve Motion Control of a Segway by Compensating the Centrifugal Force with SEAs. Int. J. Control Autom. Syst. 19, 2018–2025 (2021). https://doi.org/10.1007/s12555-019-1076-3

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