Quasi-Sliding Mode Control for Impulsive Delayed Vehicle Longitudinal Following System with Bounded and Varying Parameters

Abstract:

In the real automated highway system, various factors to vehicles which are moving make the velocity of vehicles change suddenly. In this paper, assuming that the mass of vehicles, the drag coefficient and the resistance of the ground were uncertain, the controller for a class of time-varying delayed look-ahead vehicle longitudinal following system with impulsive effect was designed by using the idea of quasi-sliding mode control. An example is given at last to test the controller proposed in this paper.

• Periodical: Applied Mechanics and Materials (Volumes 300-301)
• Pages: 1436-1443
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.300-301.1436
• Online since: February 2013
• Authors: Xiao Hui Xu, Wen Chao Fu, Ji Ye Zhang, Wang Xi
• Keywords: Delay, Impulsive, Parametric Uncertainty, Quasi-Sliding Mode Control, Vehicle Following

References

[1] J.Y. Zhang, Y. Suda, I. Twasa, et al., Vector Lyapunov function approach to longitudinal control of vehicles in a platoon, J. JSME International, (Series C), 47 (2004) 653-658.

DOI: 10.1299/jsmec.47.653

[2] J.Y. Zhang, P.A. Ioannou, Longitudinal control of heavy trucks in mixed traffic: environmental and fuel economy considerations, IEEE Transactions on Intelligent Transportation Systems, 7 (2006) 92-104.

DOI: 10.1109/tits.2006.869597

[3] G.D. Lee, S.W. Kim, A longitudinal control system for a platoon of vehicles using fuzzy-sliding mode algorithm, Mechatronics, 12 (2002) 97-118.

DOI: 10.1016/s0957-4158(00)00063-5

[4] J. Sainte-Marie, S. Mammar, L. Nouvelière, et al., Sub-optimal longitudinal control of road vehicles with capacity and safety Considerations, ASME Journal of Dynamic Systems, Measurement, and Control, 126 (2004) 26-35.

DOI: 10.1115/1.1648309

[5] D. Swaroop, Direct adaptive longitudinal control of vehicle platoons. IEEE Transactions on Vehicular Technology, 50 (2001) 150-161.

DOI: 10.1109/25.917908

[6] D. Swaroop, J.K. Hedrick, String stability of interconnected systems. IEEE Transactions on Automatic Control, 41(1996) 349-357.

DOI: 10.1109/9.486636

[7] D.B. Ren, J.Y. Zhang, L.F. Sun, Stability analysis of vehicle following system with delays based on vector Liapunov function. Journal of Traffic and Transportation Engineering, 7 (2007) 89-92. (in Chinese).

[8] D.B. Ren, J.Y. Zhang, Lyapunov function approach to longitudinal following control of vehicles in platoon with delays. Control and Decision, 22 (2007) 918-921. (in Chinese).

[9] D.B. Ren, C. Zhang, J.Y. Zhang, Vehicle following adaptive control using front and back information. Journal of Harbin Institute of Technology, 43 (2011) 76-80. (in Chinese).

[10] D.B. Ren, J.M. Zhang, J.Y. Zhang, Sliding mode control for vehicle following with parametric uncertainty, Joural of Electric Machines and Control, 14 (2010) 73-77. (in Chinese).

[11] X.H. Xu, J.Y. Zhang, K.Y. Zhang, Exponential stability and control of vehicle longitudinal following system with impulsive effects and time-varying delays. Control and Decision, 27 (2012) 1293-1300. (in Chinese).

[12] J.E. Slotine, W.P. Li, Applied Nonlinear Control [M]. Mechanical Industry Press, Beijing, (2004).

[13] J. Zhou, J.B. Lu, H. Peng, Vehicle stabilization in response to exogenous impulsive disturbances to the vehicle body (C). 2009 American Control Conference Hyatt Regency Riverfront, St. Louis, MO, USA, June 10-12, 2009. pp.701-706.

DOI: 10.1109/acc.2009.5159913