Trajectory-following and off-tracking minimisation of long combination vehicles: a comparison between nonlinear and linear model predictive control

References

• European Commission. Road transport: reducing co 2 emissions from vehicles; 2016. Available from: https://ec.europa.eu/clima/policies/transport/vehicles_en.
   Google Scholar
• Rodrigues VS, Piecyk M, Mason R, et al. The longer and heavier vehicle debate: a review of empirical evidence from Germany. Trans Res Part D: Trans Environ. 2015;40:114–131. doi:10.1016/j.trd.2015.08.003
   Web of Science ®Google Scholar
• Woodrooffe JH, Ash L. Economic efficiency of long combination transport vehicles in Alberta. Edmonton: Woodrooffe & Associates; 2001.
   Google Scholar
• Ghandriz T, Jacobson B, Laine L, et al. Impact of automated driving systems on road freight transport and electrified propulsion of heavy vehicles. Trans Res Part C: Emerg Technol. 2020;115:102610. doi:10.1016/j.trc.2020.102610
   Web of Science ®Google Scholar
• Ghandriz T, Jacobson B, Laine L, et al. Optimization data on total cost of ownership for conventional and battery electric heavy vehicles driven by humans and by automated driving systems. Data Br. 2020;30:105566. doi:10.1016/j.dib.2020.105566
   PubMed Web of Science ®Google Scholar
• Kockum S, Örtlund R, Ekfjorden A, et al. Volvo trucks safety report; 2017. Available from: https://www.volvogroup.com/content/dam/volvo/volvo-group/markets/global/en-en/about-us/traffic-safety/Safety-report-2017.pdf.
   Google Scholar
• European Commission. Traffic safety basic facts 2018 – heavy goods vehicles and buses; 2018. Available from: https://ec.europa.eu/transport/road_safety/sites/roadsafety/files/pdf/statistics/dacota/bfs20xx_hgvs.pdf.
   Google Scholar
• Christidis P, Leduc G. Longer and heavier vehicles for freight transport. JRC Eur Comm. 2009;1–40. Available from: http://www.eurosfaire.prd.fr/7pc/doc/1245745030_lhv_trucks_jrc52005.pdf.
   Google Scholar
• Grislis A. Longer combination vehicles and road safety. Transport. 2010;25(3):336–343. doi:10.3846/transport.2010.41
   Web of Science ®Google Scholar
• Lemp JD, Kockelman KM, Unnikrishnan A. Analysis of large truck crash severity using heteroskedastic ordered probit models. Accid Anal Prev. 2011;43(1):370–380. doi:10.1016/j.aap.2010.09.006
   PubMed Web of Science ®Google Scholar
• SAE standard. Taxonomy and definitions for terms related to on-road motor vehicle automated driving systems. Vol. 3016, SAE Standard J. 2016. p. 1–16.
   Google Scholar
• Alessandrini A, Campagna A, Delle Site P, et al. Automated vehicles and the rethinking of mobility and cities. Transp Res Proc. 2015;5:145–160. doi:10.1016/j.trpro.2015.01.002
   Google Scholar
• Anderson JM, Nidhi K, Stanley KD, et al. Autonomous vehicle technology: a guide for policymakers. Santa Monica (CA): Rand Corporation; 2014.
   Google Scholar
• Chan CY. Advancements, prospects, and impacts of automated driving systems. Int J Transp Sci Technol. 2017;6(3):208–216. doi:10.1016/j.ijtst.2017.07.008
   Google Scholar
• Kalra N, Paddock SM. Driving to safety: how many miles of driving would it take to demonstrate autonomous vehicle reliability?. Transp Res Part A Policy Pract. 2016;94:182–193. doi:10.1016/j.tra.2016.09.010
   Web of Science ®Google Scholar
• Trigell AS, Rothhämel M, Pauwelussen J, et al. Advanced vehicle dynamics of heavy trucks with the perspective of road safety. Veh Syst Dyn. 2017;55(10):1572–1617.
   Web of Science ®Google Scholar
• Paden B, Čáp M, Yong SZ, et al. A survey of motion planning and control techniques for self-driving urban vehicles. IEEE Trans Intell Veh. 2016;1(1):33–55.
   Google Scholar
• van Duijkeren N, Keviczky T, Nilsson P, et al. Real-time nmpc for semi-automated highway driving of long heavy vehicle combinations. IFAC-PapersOnLine. 2015;48(23):39–46.
   Google Scholar
• Luijten M. Lateral dynamic behaviour of articulated commercial vehicles. Eindhoven University of Technology; 2010. Available from: http://www.mate.tue.nl/mate/pdfs/12050.pdf.
   Google Scholar
• ISO14791 I. Road vehicles-heavy commercial vehicle combinations and articulated buses-lateral stability test methods. Tech. rep; 2002.
   Google Scholar
• He Y, Islam MM, Webster TD. An integrated design method for articulated heavy vehicles with active trailer steering systems. SAE Int J Passeng Cars-Mech Syst. 2010;3(2010-01-0092):158–174. doi:10.4271/2010-01-0092
   Google Scholar
• Islam MM, Ding X, He Y. A closed-loop dynamic simulation-based design method for articulated heavy vehicles with active trailer steering systems. Veh Syst Dyn. 2012;50(5):675–697. doi:10.1080/00423114.2011.622904
   Web of Science ®Google Scholar
• Diehl M, Findeisen R, Allgöwer F, et al. Nominal stability of real-time iteration scheme for nonlinear model predictive control. IEE Proc Control Theory Appl. 2005;152(3):296–308. doi:10.1049/ip-cta:20040008
   Google Scholar
• Gros S, Zanon M, Quirynen R, et al. From linear to nonlinear mpc: bridging the gap via the real-time iteration. Int J Control. 2020;93(1):62–80.
   Web of Science ®Google Scholar
• Falcone P, Tseng HE, Asgari J, et al. Integrated braking and steering model predictive control approach in autonomous vehicles. IFAC Proc Vol. 2007;40(10):273–278.
   Google Scholar
• Falcone P, Tufo M, Borrelli F, et al. A linear time varying model predictive control approach to the integrated vehicle dynamics control problem in autonomous systems. In: 2007 46th IEEE Conference on Decision and Control; IEEE; 2007. p. 2980–2985.
   Google Scholar
• Falcone P, Borrelli F, Tseng HE, et al. Linear time-varying model predictive control and its application to active steering systems: stability analysis and experimental validation. Int J Robust Nonlinear Control IFAC-Affiliated J. 2008;18(8):862–875.
   Web of Science ®Google Scholar
• Yuan H, Gao Y, Gordon TJ. Vehicle optimal road departure prevention via model predictive control. Proc Inst Mech Eng Part D: J Aut Eng. 2017;231(7):952–962. doi:10.1177/0954407017701286
   PubMed Web of Science ®Google Scholar
• Zhang Y, Khajepour A, Ataei M. A universal and reconfigurable stability control methodology for articulated vehicles with any configurations. IEEE Trans Veh Technol. 2020;69(4):3748–3759. doi:10.1109/TVT.2020.2973082
   Web of Science ®Google Scholar
• Kraaijenhagen B, van der Zweep C, Lischke A, et al. Aerodynamic and flexible trucks for next generation of long distance road transport (aeroflex). International Forum For Road Transport technology (IFRTT); 2018. Available from: https://elib.dlr.de/122283/.
   Google Scholar
• Deng W, Kang X. Parametric study on vehicle-trailer dynamics for stability control. SAE Trans. 2003;112:1411–1419.
   Google Scholar
• Hac A, Fulk D, Chen H. Stability and control considerations of vehicle-trailer combination. SAE Int J Passeng Cars-Mech Syst. 2008;1(2008-01-1228):925–937. doi:10.4271/2008-01-1228
   Google Scholar
• Rouchon P, Fliess M, Lévine J, et al. Flatness, motion planning and trailer systems. In: Proceedings of 32nd IEEE Conference on Decision and Control; IEEE; 1993. p. 2700–2705. Available from: https://doi.org/10.1109/CDC.1993.325686
   Google Scholar
• Van de Molengraft-Luijten M, Besselink IJ, Verschuren R, et al. Analysis of the lateral dynamic behaviour of articulated commercial vehicles. Veh Syst Dyn. 2012;50(sup1):169–189. doi:10.1080/00423114.2012.676650
   Web of Science ®Google Scholar
• Sampson DJM. Active roll control of articulated heavy vehicles [dissertation]. University of Cambridge, UK; 2000. Available from: http://www.sampson.id.au/david/work/phd.pdf.
   Google Scholar
• Morrison G, Cebon D. Combined emergency braking and turning of articulated heavy vehicles. Veh Syst Dyn. 2017;55(5):725–749. doi:10.1080/00423114.2016.1278077
   Web of Science ®Google Scholar
• Wang Q, He Y. A study on single lane-change manoeuvres for determining rearward amplification of multi-trailer articulated heavy vehicles with active trailer steering systems. Veh Syst Dyn. 2016;54(1):102–123. doi:10.1080/00423114.2015.1123280
   Web of Science ®Google Scholar
• Islam MM, He Y, Zhu S, et al. A comparative study of multi-trailer articulated heavy-vehicle models. Proc Inst Mech Eng Part D: J Aut Eng. 2015;229(9):1200–1228. doi:10.1177/0954407014557053
   Web of Science ®Google Scholar
• Sundström P, Jacobson B, Laine L. Vectorized single-track model in modelica for articulated vehicles with arbitrary number of units and axles. In: Modelica conference 2014, Lund: Sweden; 2014. Available from: http://publications.lib.chalmers.se/records/fulltext/190501/local_190501.pdf.
   Google Scholar
• Nilsson P, Tagesson K. Single-track models of an a-double heavy vehicle combination. Chalmers University of Technology; 2014. Available from: http://publications.lib.chalmers.se/records/fulltext/192958/local_192958.pdf.
   Google Scholar
• Kharrazi S, Lidberg M, Roebuck R, et al. Implementation of active steering on longer combination vehicles for enhanced lateral performance. Veh Syst Dyn. 2012;50(12):1949–1970. doi:10.1080/00423114.2012.708422
   Web of Science ®Google Scholar
• Kharrazi S, Lidberg M, Fredriksson J. A generic controller for improving lateral performance of heavy vehicle combinations. Proc Inst Mech Eng Part D: J Aut Eng. 2013;227(5):619–642. doi:10.1177/0954407012454616
   Web of Science ®Google Scholar
• Roebuck R, Odhams A, Tagesson K, et al. Implementation of trailer steering control on a multi-unit vehicle at high speeds. J Dyn Syst Meas Control. 2014;136(2):021016. doi:10.1115/1.4025815
   Web of Science ®Google Scholar
• Rangavajhula K, Tsao HSJ. Active trailer steering control of an articulated system with a tractor and three full trailers for tractor-track following. Int J Heavy Veh Syst. 2007;14(3):271–293. doi:10.1504/IJHVS.2007.015604
   Web of Science ®Google Scholar
• Ghilardelli F, Lini G, Piazzi A. Path generation using η4-splines for a truck and trailer vehicle. IEEE Trans Autom Sci Eng. 2013;11(1):187–203. 10.1109/TASE.2013.2266962
   Web of Science ®Google Scholar
• Nilsson P, Laine L, Jacobson B, et al. Driver model based automated driving of long vehicle combinations in emulated highway traffic. In: 2015 IEEE 18th International Conference on Intelligent Transportation Systems; IEEE; 2015. p. 361–368. Available from: https://doi.org/10.1109/ITSC.2015.68
   Google Scholar
• Nilsson P, Laine L, Van Duijkeren N, et al. Automated highway lane changes of long vehicle combinations: A specific comparison between driver model based control and non-linear model predictive control. In: 2015 International Symposium on Innovations in Intelligent SysTems and Applications (INISTA); IEEE; 2015. p. 1–8. https://doi.org/10.1109/INISTA.2015.7276790
   Google Scholar
• Kati MS. On robust steering based lateral control of longer and heavier commercial vehicles. Chalmers University of Technology; 2018. Available from: https://research.chalmers.se/en/publication/507376.
   Google Scholar
• Fancher P, Winkler C, Ervin R, et al. Using braking to control the lateral motions of full trailers. Veh Syst Dyn. 1998;29(S1):462–478. doi:10.1080/00423119808969579
   Web of Science ®Google Scholar
• MacAdam C, Hagan M. A simple differential brake control algorithm for attenuating rearward amplification in doubles and triples combination vehicles. Veh Syst Dyn. 2002;37(sup1):234–245. doi:10.1080/00423114.2002.11666235
   Google Scholar
• Bin Y, Shim T, Feng N, et al. Path tracking control for backing-up tractor-trailer system via model predictive control. In: 2012 24th Chinese Control and Decision Conference (CCDC); IEEE; 2012. p. 198–203. https://doi.org/10.1109/CCDC.2012.6242930
   Google Scholar
• Gutjahr B, Gröll L, Werling M. Lateral vehicle trajectory optimization using constrained linear time-varying mpc. IEEE Trans Intell Transp Syst. 2016;18(6):1586–1595. doi:10.1109/TITS.2016.2614705
   Web of Science ®Google Scholar
• Lima PF. Optimization-based motion planning and model predictive control for autonomous driving: With experimental evaluation on a heavy-duty construction truck [dissertation]. KTH Royal Institute of Technology; 2018. Available from: https://www.diva-portal.org/smash/record.jsf?pid=diva2%3A1241535&dswid=2778.
   Google Scholar
• Sastry S. Nonlinear systems: analysis, stability, and control. Springer Science & Business Media; 2013.
   Google Scholar
• Lima PF, Mårtensson J, Wahlberg B. Stability conditions for linear time-varying model predictive control in autonomous driving. In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC); IEEE; 2017. p. 2775–2782. Available from: https://doi.org/10.1109/CDC.2017.8264062
   Google Scholar
• Bock HG, Diehl M, Kostina E, et al. Constrained optimal feedback control of systems governed by large differential algebraic equations. In: Real-time pde-constrained optimization. SIAM; 2007. p. 3–24.
   Google Scholar
• Bock HG, Diehl M, Kühl P, et al. Numerical methods for efficient and fast nonlinear model predictive control. In: Assessment and future directions of nonlinear model predictive control. Springer; 2007. p. 163–179. Available from: https://doi.org/10.1007/978-3-540-72699-9_13
   Google Scholar
• Ghandriz T, Jacobson B, Nilsson P, et al. Computationally efficient nonlinear one- and two-track models for multitrailer road vehicles. IEEE Access. 2020;1–22. doi:10.1109/ACCESS.2020.3037035
   Web of Science ®Google Scholar
• Ghandriz T, Jacobson B, Murgovski N, et al. Real-time predictive energy management of hybrid electric heavy vehicles by sequential programming. IEEE Trans Veh Technol. 2021;70(5):4113–4128. doi:10.1109/TVT.2021.3069414
   Web of Science ®Google Scholar
• Andersson JA, Gillis J, Horn G, et al. Casadi: a software framework for nonlinear optimization and optimal control. Math Program Comput. 2019;11(1):1–36.
   Web of Science ®Google Scholar
• Gurobi Optimization L. Gurobi optimizer reference manual ; 2020. Available from: http://www.gurobi.com.
   Google Scholar
• Nocedal J, Wright S. Numerical optimization. Springer Science & Business Media; 2006.
   Google Scholar
• Eich-Soellner E, Führer C. Numerical methods in multibody dynamics. Vol. 45. Stuttgart: Teubner; 1998.
   Google Scholar
• Zhu M, Chen H, Xiong G. A model predictive speed tracking control approach for autonomous ground vehicles. Mech Syst Signal Process. 2017;87:138–152.
   Web of Science ®Google Scholar
• Performance Based Standards II project [https://www.chalmers.se/en/projects/Pages/Performance-Based-Standards-II.aspx]; 2018.
   Google Scholar
• Kharrazi S, Karlsson R, Sandin J, et al. Performance based standards for high capacity transports in Sweden, FIFFI project 2013-03881, report 1: Review of existing regulations and literature. 2015. Available from: http://www.diva-portal.org/smash/record.jsf?pid=diva2%3A1168835&dswid=-5021.
   Google Scholar
• Ghandriz T. Transportation mission-based optimization of heavy combination road vehicles and distributed propulsion, including predictive energy and motion control Doctoral thesis, no 4882. Chalmers University of Technology; 2020. Available from: https://research.chalmers.se/en/publication/520358.
   Google Scholar
• Shabana AA. Dynamics of multibody systems. Cambridge: Cambridge University Press; 2003.
   Google Scholar
• Ghandriz T. Multitrailer vehicle simulation: Generation and integration of differential equations ; 2020. Available from: https://doi.org/10.5281/zenodo.4248263
   Google Scholar
• Jacobson B. Vehicle dynamics compendium. Chalmers University of Technology; 2019. Available from: https://research.chalmers.se/en/publication/513850.
   Google Scholar
• Pacejka H. Tire and vehicle dynamics. Elsevier; 2005.
   Google Scholar