Abstract
In the automotive domain, adequate control and diagnosis rely on the use of state observers and parametric identification systems to estimate the dynamics performances of the vehicle. Unfortunately, the simultaneous use of different methods of observation, estimation and identification is not risk-free. The risks can be expressed mathematically through a problem of error accumulation, posing major risks for the vehicle and its driver (errors of detection, errors in the prediction of dangerous driving situations, vehicle instability, etc.). This paper presents a method of observation and estimation of the dynamic state and parameter identification of an articulated vehicle simultaneously at very low error rates. This method is based on the HOSM (High Order Sliding Modes) approach, with the application of the STA (Super-Twisting Algorithm). Towards to this aim, a 5-DOF (Degree Of Freedom) nonlinear dynamic model for an articulated vehicle is proposed. The model is derived by applying Lagrange’s equations. Simulation and experimental results showed that the algorithms generate accurate estimation of articulated vehicle parameters and states dynamics in real driving situations.
Similar content being viewed by others
References
F. Aparicio, J. Paez, F. Moreno, F. Jimenez, and A. Lopez, “Discussion of a new adaptive speed control system incorporating the geometric characteristics of the road,” International Journal of Vehicle Autonomous Systems, vol. 3, no. 1, pp. 47–64, 2005.
D. Almeida and J. Alvarez, “Robust synchronization of a class of nonlinear systems,” Proc. of American Control Conference, Boston, U.S.A, pp. 1259–1265, 2004.
J. P. Barbot, M. Djemai, and T. Boukhobza, “Nonlinear sliding observers,” Sliding Mode Control in Engineering, Edited by W. Perruquetti and J. P. Barbot, Marcel Dekker INC, Chapter 4, pp. 103–130, 2002.
J. Davila, L. Fridman, and A. Poznyak, “Observation and identification of mechanical systems via second order sliding modes,” International Journal of Control, vol. 79, no. 10, pp. 1251–1262, 2006. [click]
T. Floquet and J. P. Barbot, “Super twisting algorithm based step-by-step sliding mode observers for nonlinear systems with unknown inputs,” Special Issue of IJSS on Advances in Sliding Mode Observation and Estimation, vol. 38, no. 10, pp. 803–815, 2007.
A. Levant, “Robust exact differentiation via sliding mode technique,” Journal of Automatica, vol. 34, no. 3, pp. 379–384, 1998. [click]
Y. Orlov, J. Alvarez, and L. Acho, “An invariance principle for discontinuous dynamic systems with application to a Coulomb friction oscillator,” Journal of Dynamic Systems, Measurement and Control, vol. 122, no. 04, pp. 687–690, 2000. [click]
Y. Shtessel, I. Shkolnikov, and A. Levant, “Smooth second order sliding modes: missile guidance application,” Automatica, vol. 43, no. 8, pp. 1470–1476, 2007. [click]
V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems, CRC Press, Taylor & Francis Group, Second Edition, London, U.K, 2009.
M. Bouteldja, M. Djemai, and L. Fridman, “Dynamics observation and parameters identification of heavy vehicles via second order sliding mode,” Variable Structure Systems Workshop, VSS’10, Mexico, 2010.
M. Bouteldja, A. El Hadri, J. C. Cadiou, J. Davila, and L. Fridman, “Observation and estimation of dynamics performance of heavy vehicle via second order sliding modes,” Workshop Variable Structure Systems, VSS’06, Alghero, Italy, pp. 280–285, 2006.
C. Chen and M. Tomizuka, “Dynamic modeling of tractor semi-trailer vehicles in automated highway systems,” California PATHWorking Paper UCB-ITS-PWP-95-8, University of California at Berkeley, 1995.
J. R. Ellis, Vehicle Handling Dynamics, London business books limited, ISBN: 9780852988855, Londres, 1994.
M. Gafvert and O. Lindgarde, “A 9-DOF tractor semi-trailer dynamic handling model for advenced chassis control studies,” Technical Report, ISSN: 0280-5316, 2001.
D. J. M. Sampson, Active Roll Control of Articulated Vehicles, PhD thesis, Combridge Univrsity, 2000.
M. Bouteldja, Modélisation des Interactions Dynamiques Poids Lourds/infrastructures pour La sécurité et Les Alertes, PHD thesis, Univrsité de Versailles St Quentin-en-Yvelines, France, 2005.
C. Chen and M. Tomizuka, “Modeling and Control of Articulated Vehicles,” California PATH Research Report UCB-ITS-PRR-97-42. University of California at Berkeley, ISSN: 1055-1425, 1997.
H. B. Pacejka and I. J. M. Besselink, “Magic formula tyre with transient properties,” Vehicle System Dynamics, vol. 27, no S1, pp. 234–249, 1997. [click]
J. Davila, L. Fridman, and A. Levant, “Second-order sliding-modes observer for mechanical systems,” IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1785–1789, 2005. [click]
A. Levant, “Sliding order and sliding accuracy in sliding mode control,” International Journal of Control, vol. 58, no 6, pp. 1247–1263, 1993. [click]
S. R. Kou, D. L. Elliott, and T. Tarn, “Observability of nonlinear systems,” Information and Control, vol. 22, no. 1, pp. 89–99, 1973. [click]
R. Hermann and A. J. Krener, “Nonlinear controllability and observability,” IEEE Transactions on Automoatic Control, vol. AC-22, no. 5, pp. 728–740, 1977.
H. Nijmeijer and A. J. Schaft, Nonlinear Dynamical Control Systems, Springer, vol. 33, no. 2, pp. 292–294, 1991.
T. Soderstrom and P. Stoica, System Identification, Prentice Hall International, Cambridge, MA, USA, Great Britain, 1989.
J-P. Barbot, T. Boukhobza, and M. Djemai, “Triangular input observer from and nonlinear sliding mode observer,” Proc. of IEEE Conf. on Decision and Control, pp. 1489–1491, 1996.
A. F. Filippov, Differential Equations with Discontinuous Righthand Sides, Springer Science, Kluwer, Dordrecht, 1988.
W. Perruquetti and J. P. Barbot, Sliding Mode Control in Engineering, ISBN 0-8247-0671-4, 2002.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Shihua Li under the direction of Editor Hyun-Seok Yang. The authors would like to acknowledge, Mr P-J Le Bec, engineer at the UTAC (service “Comportement Sécurité Active dynamique du véhicule”), France, for providing field test data.
Mohamed Bouteldja is Researcher in CEREMA (French Ministry of Transport), at laboratory of Lyon, France since 2008. He graduated with a Mechanical Engineering degree from the University of Blida in Algeria in 2000, then he obtained a Master’s degree in Robotics in 2002 and PhD degree in Automatics&Robotics in 2005 from Versailles Saint Quentin-en-Yvelines University (France). Between 2005 and 2008, he was researcher at LCPC on automatic weigh-in-motion of the trucks and road safety to identify road risk areas and vehicle risk situations. His main research interest includes heavy vehicle dynamic modelling and design, road and bridge damage, warning strategy and accident risk prediction, and driving assistance. He also has interests in non-linear continuous time-dependent systems, sliding mode control and observers, fault detection, and vehicle and power systems. Since mid-2012, head of research team «skid resistance and safety»at the Laboratory Department of Lyon (JRU of IFSTTAR). He was involved in several French and European research projects dealing with road safety such as TRANSFORMERS on the future heavy vehicles stability.
Veronique Cerezo is a civil engineer graduated from the National School of Public Works (ENTPE) of Lyon (France). She passed a PhD, in civil engineering and construction in Lyon. She spent nine years at Cerema in Lyon first as researcher than as head of the research team ‘skid resistance, safety and heavy vehicles’. In 2012, she joined the Research Laboratory EASE (Environmental Assessment, Safety and Ecodesign) at IFSTTAR in Nantes. She is currently head of this laboratory. She is working on tire/road interactions (skid resistance, rolling resistace) and heavy vehicles safety since twelve years. She is participating to several natianal and European research projects (VERTEC, HeavyRoute, Skidsafe, ROSANNE, LCE4RAODS). Lastly, she is deeply involved in european standardization as a french expert in TC227/WG5 ‘surface characteristics’.
Rights and permissions
About this article
Cite this article
Bouteldja, M., Cerezo, V. Low rate error modeling of articulated heavy vehicle dynamics and experimental validation. Int. J. Control Autom. Syst. 15, 2203–2212 (2017). https://doi.org/10.1007/s12555-016-0033-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-016-0033-7