Skip to main content
Top
Published in:

22-04-2024 | Chassis, Electrical and Electronics, Vehicle Dynamics and Control

Human–Machine Cooperative Steering Control Based on Non-cooperative Nash Game

Authors: Pengzhou Li, Zhengang Gao, Dequan Pu, Ning Wang

Published in: International Journal of Automotive Technology | Issue 3/2024

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

To address the conflict of inconsistent driving intentions between the driver and driving assistance system in cooperative steering, a human–machine cooperative steering control framework based on non-cooperative Nash game is proposed. The competitive relationship between the driver and driving assistance system with different control objectives is modeled as a non-cooperative Nash game. The cooperative steering under human–machine Nash game condition is transformed into a model predictive control optimization problem to achieve coordination through Nash equilibrium. A flexible driving authority allocation strategy based on time-to-collision is then proposed for vehicle lateral control, with dynamic driving authority weights fed into the human–machine cooperative steering model in real time. The effectiveness of the non-cooperative Nash game human–machine cooperative steering strategy and flexible driving authority allocation strategy is validated through simulations and hardware-in-the-loop experiments. Results show the proposed strategy can improve vehicle safety while retaining certain driver freedom when human–machine control targets conflict, by flexibly transferring authority from the driver to the assistance system as collision risk increases.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

ATZelectronics worldwide

ATZlectronics worldwide is up-to-speed on new trends and developments in automotive electronics on a scientific level with a high depth of information. 

Order your 30-days-trial for free and without any commitment.

Show more products
Appendix
Available only for authorised users
Literature
go back to reference Bertoluzzo, M., Buja, G., Menis, R., & Sulligoi, G. (2005). Approach to steer-by-wire system design. In IEEE international conference on industrial technology, 2005. IEEE (pp. 443–447). Bertoluzzo, M., Buja, G., Menis, R., & Sulligoi, G. (2005). Approach to steer-by-wire system design. In IEEE international conference on industrial technology, 2005. IEEE (pp. 443–447).
go back to reference Chen, W., Tan, D., Wang, H., Wang, J., & Xia, G. (2016). A class of ownership directional control model based on statement forecast. Chinese Journal of Mechanical Engineering, 52, 106–115.CrossRef Chen, W., Tan, D., Wang, H., Wang, J., & Xia, G. (2016). A class of ownership directional control model based on statement forecast. Chinese Journal of Mechanical Engineering, 52, 106–115.CrossRef
go back to reference da Lio, M., Biral, F., Bertolazzi, E., Galvani, M., Bosetti, P., Windridge, D., Saroldi, A., & Tango, F. (2014). Artificial co-drivers as a universal enabling technology for future intelligent vehicles and transportation systems. IEEE Transactions on Intelligent Transportation Systems, 16, 244–263.CrossRef da Lio, M., Biral, F., Bertolazzi, E., Galvani, M., Bosetti, P., Windridge, D., Saroldi, A., & Tango, F. (2014). Artificial co-drivers as a universal enabling technology for future intelligent vehicles and transportation systems. IEEE Transactions on Intelligent Transportation Systems, 16, 244–263.CrossRef
go back to reference Falcone, P., Borrelli, F., Asgari, J., Tseng, H.E. & Hrovat, D. (2007). A model predictive control approach for combined braking and steering in autonomous vehicles. In Mediterranean conference on control & automation, 2007. IEEE (pp. 1–6). Falcone, P., Borrelli, F., Asgari, J., Tseng, H.E. & Hrovat, D. (2007). A model predictive control approach for combined braking and steering in autonomous vehicles. In Mediterranean conference on control & automation, 2007. IEEE (pp. 1–6).
go back to reference Flad, M., Fröhlich, L., & Hohmann, S. (2017). Cooperative shared control driver assistance systems based on motion primitives and differential games. IEEE Transactions on Human-Machine Systems, 47, 711–722.CrossRef Flad, M., Fröhlich, L., & Hohmann, S. (2017). Cooperative shared control driver assistance systems based on motion primitives and differential games. IEEE Transactions on Human-Machine Systems, 47, 711–722.CrossRef
go back to reference Guo, L., Ge, S., Xia, W., & Qin, Z. (2019). Lane-keeping control systems based on human-machine cooperative driving. Journal of Highway and Transportation Research (China), 32, 46. Guo, L., Ge, S., Xia, W., & Qin, Z. (2019). Lane-keeping control systems based on human-machine cooperative driving. Journal of Highway and Transportation Research (China), 32, 46.
go back to reference Hu, Y., Qu, T., Liu, J., Shi, Z., Zhu, B., Cao, D., & Chen, H. (2019). Research status and prospect of human-machine cooperative control of intelligent vehicles. Acta Automatica Sinica, 45, 1261–1280. Hu, Y., Qu, T., Liu, J., Shi, Z., Zhu, B., Cao, D., & Chen, H. (2019). Research status and prospect of human-machine cooperative control of intelligent vehicles. Acta Automatica Sinica, 45, 1261–1280.
go back to reference Huang, C., Naghdy, F., Du, H., & Huang, H. (2019). Shared control of highly automated vehicles using steer-by-wire systems. IEEE/CAA Journal of Automatica Sinica, 6, 410–423.MathSciNetCrossRef Huang, C., Naghdy, F., Du, H., & Huang, H. (2019). Shared control of highly automated vehicles using steer-by-wire systems. IEEE/CAA Journal of Automatica Sinica, 6, 410–423.MathSciNetCrossRef
go back to reference Kim, J., Kim, K., Yoon, D., Koo, Y. & Han, W. (2016). Fusion of driver-information based driver status recognition for co-pilot system. In 2016 Ieee intelligent vehicles symposium (iv), 2016. IEEE (pp. 1398–1403) Kim, J., Kim, K., Yoon, D., Koo, Y. & Han, W. (2016). Fusion of driver-information based driver status recognition for co-pilot system. In 2016 Ieee intelligent vehicles symposium (iv), 2016. IEEE (pp. 1398–1403)
go back to reference Koo, Y., Kim, J. & Han, W. (2015). A method for driving control authority transition for cooperative autonomous vehicle. In 2015 IEEE intelligent vehicles symposium (IV), 2015. IEEE (pp. 394–399). Koo, Y., Kim, J. & Han, W. (2015). A method for driving control authority transition for cooperative autonomous vehicle. In 2015 IEEE intelligent vehicles symposium (IV), 2015. IEEE (pp. 394–399).
go back to reference Li, R., Li, S., Gao, H., Li, K., Cheng, B. & Li, D. (2017). Effects of human adaptation and trust on shared control for driver-automation cooperative driving. SAE technical paper. Li, R., Li, S., Gao, H., Li, K., Cheng, B. & Li, D. (2017). Effects of human adaptation and trust on shared control for driver-automation cooperative driving. SAE technical paper.
go back to reference Liu, J., Guo, H., Song, L., Dai, Q., & Chen, H. (2020). Driver-automation shared steering control for highly automated vehicles. Science China Information Sciences, 63, 1–16.MathSciNetCrossRef Liu, J., Guo, H., Song, L., Dai, Q., & Chen, H. (2020). Driver-automation shared steering control for highly automated vehicles. Science China Information Sciences, 63, 1–16.MathSciNetCrossRef
go back to reference Liu, R., Zhu, X., Liu, L., & Ma, Z. (2019). Human-machine cooperative driving strategy based on non-cooperative model predictive control. Journal of Tongji University (natural Science), 47, 1037–1045. Liu, R., Zhu, X., Liu, L., & Ma, Z. (2019). Human-machine cooperative driving strategy based on non-cooperative model predictive control. Journal of Tongji University (natural Science), 47, 1037–1045.
go back to reference Meng, Y., Li, L., Wang, F.-Y., Li, K., & Li, Z. (2017). Analysis of cooperative driving strategies for nonsignalized intersections. IEEE Transactions on Vehicular Technology, 67, 2900–2911.CrossRef Meng, Y., Li, L., Wang, F.-Y., Li, K., & Li, Z. (2017). Analysis of cooperative driving strategies for nonsignalized intersections. IEEE Transactions on Vehicular Technology, 67, 2900–2911.CrossRef
go back to reference Meng, Y., Wu, Y., Gu, Q., & Liu, L. (2019). A decoupled trajectory planning framework based on the integration of lattice searching and convex optimization. IEEE Access, 7, 130530–130551.CrossRef Meng, Y., Wu, Y., Gu, Q., & Liu, L. (2019). A decoupled trajectory planning framework based on the integration of lattice searching and convex optimization. IEEE Access, 7, 130530–130551.CrossRef
go back to reference Mulder, M., Abbink, D. A., & Boer, E. R. (2012). Sharing control with haptics: Seamless driver support from manual to automatic control. Human Factors, 54, 786–798.CrossRef Mulder, M., Abbink, D. A., & Boer, E. R. (2012). Sharing control with haptics: Seamless driver support from manual to automatic control. Human Factors, 54, 786–798.CrossRef
go back to reference Na, X., & Cole, D. J. (2013). Linear quadratic game and non-cooperative predictive methods for potential application to modelling driver–AFS interactive steering control. Vehicle System Dynamics, 51(2), 165–198.CrossRef Na, X., & Cole, D. J. (2013). Linear quadratic game and non-cooperative predictive methods for potential application to modelling driver–AFS interactive steering control. Vehicle System Dynamics, 51(2), 165–198.CrossRef
go back to reference Na, X., & Cole, D. J. (2014). Game-theoretic modeling of the steering interaction between a human driver and a vehicle collision avoidance controller. IEEE Transactions on Human-Machine Systems, 45, 25–38.CrossRef Na, X., & Cole, D. J. (2014). Game-theoretic modeling of the steering interaction between a human driver and a vehicle collision avoidance controller. IEEE Transactions on Human-Machine Systems, 45, 25–38.CrossRef
go back to reference Na, X., & Cole, D.J. (2022). Experimental evaluation of a game-theoretic human driver steering control model. IEEE Transactions on Cybernetics, 4791–4804. Na, X., & Cole, D.J. (2022). Experimental evaluation of a game-theoretic human driver steering control model. IEEE Transactions on Cybernetics, 4791–4804.
go back to reference Nguyen, A.-T., Sentouh, C., & Popieul, J.-C. (2017). Sensor reduction for driver-automation shared steering control via an adaptive authority allocation strategy. IEEE/ASME Transactions on Mechatronics, 23, 5–16.CrossRef Nguyen, A.-T., Sentouh, C., & Popieul, J.-C. (2017). Sensor reduction for driver-automation shared steering control via an adaptive authority allocation strategy. IEEE/ASME Transactions on Mechatronics, 23, 5–16.CrossRef
go back to reference Pae, D.-S., Kim, G.-H., Kang, T.-K., & Lim, M.-T. (2021). Path planning based on obstacle-dependent gaussian model predictive control for autonomous driving. Applied Sciences, 11, 3703.CrossRef Pae, D.-S., Kim, G.-H., Kang, T.-K., & Lim, M.-T. (2021). Path planning based on obstacle-dependent gaussian model predictive control for autonomous driving. Applied Sciences, 11, 3703.CrossRef
go back to reference Rawlings, J., & Mayne, D. (2012). Postface to model predictive control: Theory and design. Nob Hill Pub, 5, 155–158. Rawlings, J., & Mayne, D. (2012). Postface to model predictive control: Theory and design. Nob Hill Pub, 5, 155–158.
go back to reference Rosenstatter, T., & Englund, C. (2017). Modelling the level of trust in a cooperative automated vehicle control system. IEEE Transactions on Intelligent Transportation Systems, 19, 1237–1247.CrossRef Rosenstatter, T., & Englund, C. (2017). Modelling the level of trust in a cooperative automated vehicle control system. IEEE Transactions on Intelligent Transportation Systems, 19, 1237–1247.CrossRef
go back to reference Russell, H. E., Harbott, L. K., Nisky, I., Pan, S., Okamura, A. M., & Gerdes, J. C. (2016). Motor learning affects car-to-driver handover in automated vehicles. Science Robotics, 1, eaah5682.CrossRef Russell, H. E., Harbott, L. K., Nisky, I., Pan, S., Okamura, A. M., & Gerdes, J. C. (2016). Motor learning affects car-to-driver handover in automated vehicles. Science Robotics, 1, eaah5682.CrossRef
go back to reference Sawade, O., Schulze, M., & Radusch, I. (2018). Robust communication for cooperative driving maneuvers. IEEE Intelligent Transportation Systems Magazine, 10, 159–169.CrossRef Sawade, O., Schulze, M., & Radusch, I. (2018). Robust communication for cooperative driving maneuvers. IEEE Intelligent Transportation Systems Magazine, 10, 159–169.CrossRef
go back to reference Sentouh, C., Debernard, S., Popieul, J.-C., & Vanderhaegen, F. (2010). Toward a shared lateral control between driver and steering assist controller. IFAC Proceedings Volumes, 43, 404–409.CrossRef Sentouh, C., Debernard, S., Popieul, J.-C., & Vanderhaegen, F. (2010). Toward a shared lateral control between driver and steering assist controller. IFAC Proceedings Volumes, 43, 404–409.CrossRef
go back to reference Sheehan, B., Murphy, F., Ryan, C., Mullins, M., & Liu, H. Y. (2017). Semi-autonomous vehicle motor insurance: A Bayesian Network risk transfer approach. Transportation Research Part C: Emerging Technologies, 82, 124–137.CrossRef Sheehan, B., Murphy, F., Ryan, C., Mullins, M., & Liu, H. Y. (2017). Semi-autonomous vehicle motor insurance: A Bayesian Network risk transfer approach. Transportation Research Part C: Emerging Technologies, 82, 124–137.CrossRef
go back to reference Wu, J., Cheng, S., Liu, B., & Liu, C. (2017). A human-machine-cooperative-driving controller based on AFS and DYC for vehicle dynamic stability. Energies, 10, 1737.CrossRef Wu, J., Cheng, S., Liu, B., & Liu, C. (2017). A human-machine-cooperative-driving controller based on AFS and DYC for vehicle dynamic stability. Energies, 10, 1737.CrossRef
go back to reference Yih, P. (2005). Steer-by-wire: implications for vehicle handling and safety. Stanford University. Yih, P. (2005). Steer-by-wire: implications for vehicle handling and safety. Stanford University.
go back to reference Yoon, Y., Shin, J., Kim, H. J., Park, Y., & Sastry, S. (2009). Model-predictive active steering and obstacle avoidance for autonomous ground vehicles. Control Engineering Practice, 17, 741–750.CrossRef Yoon, Y., Shin, J., Kim, H. J., Park, Y., & Sastry, S. (2009). Model-predictive active steering and obstacle avoidance for autonomous ground vehicles. Control Engineering Practice, 17, 741–750.CrossRef
go back to reference Yu, J., Pei, X., Guo, X., Lin, J., & Zhu, M. (2020). Path tracking framework synthesizing robust model predictive control and stability control for autonomous vehicle. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 234, 2330–2341. Yu, J., Pei, X., Guo, X., Lin, J., & Zhu, M. (2020). Path tracking framework synthesizing robust model predictive control and stability control for autonomous vehicle. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 234, 2330–2341.
go back to reference Zhang, L., Wu, G., & Guo, X. (2016). Linear time-varying model predictive path-following control for autonomous vehicles. Journal of Tongji University (natural Science), 44, 1595–1603. Zhang, L., Wu, G., & Guo, X. (2016). Linear time-varying model predictive path-following control for autonomous vehicles. Journal of Tongji University (natural Science), 44, 1595–1603.
Metadata
Title
Human–Machine Cooperative Steering Control Based on Non-cooperative Nash Game
Authors
Pengzhou Li
Zhengang Gao
Dequan Pu
Ning Wang
Publication date
22-04-2024
Publisher
The Korean Society of Automotive Engineers
Published in
International Journal of Automotive Technology / Issue 3/2024
Print ISSN: 1229-9138
Electronic ISSN: 1976-3832
DOI
https://doi.org/10.1007/s12239-024-00048-0