Skip to main content
Log in

Effect of information delay on string stability of platoon of automated vehicles under typical information frameworks

  • Published:
Journal of Central South University of Technology Aims and scope Submit manuscript

Abstract

The effect of the information delay, which was caused by the nature of the distance sensors and wireless communication systems, on the string stability of platoon of automated vehicles was studied. The longitudinal vehicle dynamics model was built by taking the information delay into consideration, and three typical information frameworks, i.e., leader-predecessor framework (LPF), multiple-predecessors framework (MPF) and predecessor-successor framework (PSF), were defined and their related spacing error dynamics models in frequency domain were proposed. The string stability of platoon of automated vehicles was analyzed for the LPF, MPF and PSF, respectively. Meanwhile, the related sufficient string stable conditions were also obtained. The results demonstrate that the string stability can be guaranteed for the LPF and PSF with considering the information delay, but the ranges of the control gains of the control laws are smaller than those without considering the information delay. For the MPF, the “weak” string stability, which can be guaranteed without considering the information delay, cannot be obtained with considering the information delay. The comparative simulations further demonstrate that the LPF shows better string stability, but the PSF shows better string scalable performance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. XIAO Ling-yun, GAO Feng. A comprehensive review of the development of adaptive cruise control (ACC) systems [J]. Vehicle System Dynamics, 2010, 48(10): 1167–1192.

    Article  Google Scholar 

  2. CHU K. Decentralized control of high-speed vehicular strings [J]. Transportation Science, 1974, 8(3): 361–384.

    Article  MathSciNet  Google Scholar 

  3. DARBHA S, HEDRICK J. String stability of interconnected systems [J]. IEEE Transactions on Automatic Control, 1996, 41(3): 349–357.

    Article  Google Scholar 

  4. RAJAMANI R, SHLADOVER S. An experimental comparative study of autonomous and co-operative vehicle-follower control systems [J]. Transportation Research: Part C, 2001, 9(1): 15–31.

    Article  Google Scholar 

  5. MAHAL S. Effects of communication delays on string stability in an AHS environment [D]. Berkeley: University of California, 2000: 10–42.

  6. BISWAS S, TATCHIKOU R, DION F. Vehicle-to-vehicle wireless communication protocols for enhancing highway traffic safety [J]. IEEE Communications Magazine, 2006, 44(1): 74–82.

    Article  Google Scholar 

  7. HAURIS J. Genetic algorithm optimization in a cognitive radio for autonomous vehicle communications [C]// Proceedings of the 2007 IEEE International Symposium on Computational Intelligence in Robotics and Automation. Jacksonville, 2007: 427–431.

  8. ZHOU Jing, PENG Huei. Range policy of adaptive cruise control vehicle for improved flow stability and string stability [J]. IEEE Transactions on ITS, 2005, 6(2): 229–237.

    MathSciNet  Google Scholar 

  9. SHEIKHOLESLAM S, DESOER C. Control of interconnected nonlinear dynamical systems: The platoon problem [J]. IEEE Transaction on Automatic Control, 1992, 37(6): 806–810.

    Article  MATH  MathSciNet  Google Scholar 

  10. SANTHANAKRISHNAN K, RAJAMANI R. On spacing policies for highway vehicle automation [J]. IEEE Transactions on Intelligent Transportation Systems, 2003, 4(4): 198–204.

    Article  Google Scholar 

  11. YANAKIEV D, KANELLAKOPOULOS I. Variable time headway for string stability of automated heavy-duty vehicles [C]// Proceedings of 34th IEEE Conference on Decision and Control. New Orleans, 1995: 4077–4081.

  12. COOK P. Stable Control of vehicle convoys for safety and comfort [J]. IEEE Transaction on Automatic Control, 2007, 52(3): 526–531.

    Article  Google Scholar 

  13. DARBHA S, HEDRICK J. Constant spacing strategies for platooning in automated highway systems [J]. Journal of Dynamics Systems, Measurement, and Control, 1999, 121: 462–470.

    Article  Google Scholar 

  14. LIU Y, DION F, BISWAS S. Safety Assessment of information delay on performance of intelligent vehicle control system [J]. Transportation Research Record, 2006, 32(3): 16–25.

    Article  Google Scholar 

  15. XIAO L Y, DARBHA S, GAO F. Stability of string of adaptive cruise control vehicles with parasitic delays and lags [C]// Proceedings of the 11th International IEEE Conference on ITS. Beijing, 2008: 1101–1106.

  16. XIAO Ling-yun, GAO Feng, WANG Jiang-feng. On scalability of platoon of automated vehicles for leader-predecessor information framework [C]// Proceedings of 2009 IEEE Intelligent Vehicles Symposium. Xi’an, 2009: 1103–1108.

  17. MOSKWA J, HEDRICK J. Modeling and validation of automotive engines for control algorithm development [J]. Journal of Dynamic Systems, Measurement, and Control, 1992, 114: 278–285.

    Article  Google Scholar 

  18. ZHANG Y, KOSMATOPOULOS E, IOANNOU P, CHIEN C. Autonomous intelligent cruise control using front and back information for tight vehicle following maneuvers [J]. IEEE Transaction of Vehicular Technology, 1999, 48(1): 319–328.

    Article  Google Scholar 

  19. SEILER P, PANT A, HEDRICK K. Disturbance propagation in vehicle strings [J]. IEEE Transaction on Automatic Control, 2004, 49(10): 1835–1841.

    Article  MathSciNet  Google Scholar 

  20. DARBHA S. A note about the stability of a string of LTI systems [J]. Journal of Dynamics Systems, Measurement, and Control, 2002, 124: 472–475.

    Article  Google Scholar 

  21. BAROOAH P, MEHTA P, HESPANHA J. Control of large vehicular platoons: Improving closed loop stability by mistuning [C]// Proceedings of the 2007 American Control Conference. New York, 2007: 4666–4671.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ling-yun Xiao  (肖凌云).

Additional information

Foundation item: Project(20070006011) supported by the Doctoral Foundation of Ministry of Education of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao, Ly., Gao, F. Effect of information delay on string stability of platoon of automated vehicles under typical information frameworks. J. Cent. South Univ. Technol. 17, 1271–1278 (2010). https://doi.org/10.1007/s11771-010-0631-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-010-0631-0

Key words

Navigation