[1] Rothery, R. W., “Car Following Models: In Traffic Flow Theory”, Transportation Research Board, Vol. 165, pp. (4)1-(4)41, (1992).
[2] Zhang, H. M., and Kim, T., “A Car-following Theory for Multiphase Vehicular Traffic Flow”, Transportation Research Part B: Methodological, Vol. 39, No. 5, pp. 385–399 (2005).
[3] Mar, J., and Hung-Ta, L., “The Car-following and Lane-changing Collision Prevention System Based on the Cascaded Fuzzy Inference System”, IEEE Transactions on Vehicular Technology, Vol. 54, No. 3, pp. 910-924, (2005).
[4] Pan, D., and Zheng, Y., “Optimal Control and Discrete Time-delay Model of Car Following”, IEEE 7th World Congress on Intelligent Control and Automation, Chongqing, China, pp. 5657-5661, (2008).
[5] Peng, Y. F., Hsu,
C. F., Chih-Min, L.,
and Kao, C. J., “Robust CMAC Back Stepping Longitudinal Control of Vehicle Platoons”, IEEE International Conference, Networking, Sensing and Control, Taipei, Taiwan, Vol. 1, pp. 571-576, (2004).
[6] Zakian, V., “Control Systems Design: A New Framework”, Springer-Verlag, Berlin, (2005).
[7] Limon, D., Alvarado, I., Alamo, T., and Camacho, E.F., “MPC for Tracking Piecewise Constant References for Constrained Linear Systems”, Automatica, Vol. 44, pp. 2382–2387, (2008).
[8] Maciejowski, J. M., “Predictive Control with Constraints”, Prentice Hall, Harlow, England, (2002).
[9] Baskar, L. D., Schutter, B. D., and Hellendoorn, H., “Model-based Predictive Traffic Control for Intelligent Vehicles: Dynamic Velocity Limits and Dynamic Lane Allocation”, IEEE Intelligent Vehicles Symposium, Eindhoven, Netherlands, pp. 174–179, (2008).
[10] Bellemans, T., De Schutter, B., and De Moor, B., “Model Predictive Control for Ramp Metering of Motorway Traffic: A Case Study”, Control Engineering Practice, Vol. 14, No. 7, pp. 757–767, (2006).
[11] Hegyi, A., De Schutter, B., and Hellendoorn, J., “Optimal Coordination of Variable Speed Limits to Suppress Shock Waves”, IEEE Transactions on Intelligent Transportation Systems, Vol. 6, No. 1, pp. 102–112, (2005).
[12] Kamal, M. A. S., Mukai, M., Murata, J. and Kawabe, T., “On Board Eco-driving System for Varying Road-traffic Environments using Model Predictive Control”, IEEE International Conference on Control Applications (CCA), Yokohama, Japan, pp. 1636-1641, (2010).
[13] Naus, G. J. L., Ploeg, J., Van de Molengraft, M. J. G., Heemelsand, W.P.M.H., and Steinbuch, M., “A Model Predictive Control Approach to Design a Parameterized Adaptive Cruise Control”, Automotive Model Predictive Control, Vol. 402, pp. 273-284, Springer-Verlag, Berlin Heidelberg, (2010).
[14] Salehinia, S., “Predictive Control System Design for Car Following Behavior in Traffic Flow”, M.Sc. Thesis, Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran, (2012).
[15] Kvapil, D., “Stability Analysis of State-space Models in MATLAB”, Journal of Applied Mathematics, Vol. 3, No. 2, pp. 189-198, (2010).
[16] Tettamanti, T., Varga, I., Kulcsár, B. and Bokor, J., “Model Predictive Control in Urban Traffic Network Management”, IEEE 16th Mediterranean Conference on Control and Automation Congress Centre, Ajaccio, France, pp. 1538–1543, June, (2008).
[17] Bemporad, A., and Morari, M., “Robust Model Predictive Control: A Survey”, Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH), Springer, Switzerland, (2007).
[18] Brookhuis, K. A., de Vries, G., and de Waard, D., “The Effects of Mobile Telephoning on Driving Performance”, Elsevier Journal of Accident Analysis and Prevention, Vol. 23, No. 4, pp. 309–316, (1991).
[19] Caird, J.K., Willness, C.R., Steel, P., and Scialfa, C., “A Meta-analysis of the Effects of Cell Phones on Driver Performance”, Elsevier Journal of Accident Analysis and Prevention, Vol. 40, No. 4, pp. 1282-1293, (2008).
[20] Terwen, S., Back, M., and Krebs, V., “Predictive Powertrain Control for Heavy Duty Truck”, In: Proceedings of the IFAC Symposium on Advances in Automotive Control, Salerno, Italy, Vol. 39, pp. 105-110, (2004).
[21] Falcone, P., Borelli, F., Asgari, J., He, T., and Hrovat, D., “A Model Predictive Control Approach for Combined Braking and Steering in Autonomous Vehicles”, In: Proceedings of the IEEE Conference on Control and Automation, Athens, Greece, pp. 1-6, (2007).
[22] Re, L., Ortner, P., and Alberer, D., “Chances and Challenges in Automotive Predictive Control”, Automotive Model Predictive Control Models, Methods and Applications, Vol. 402, pp. 1-22, (2010).
[23] US Department of Transportation, NGSIM – Next Generation Simulation, http://www.ngsim.fhwa.dot.gov (2009).
[24] The Federal Highway Administration Website: US 101 Highway (Hollywood Freeway), Dataset:http://www.fhwa.dot.gov/publications/research/operations/07030/index.cfm.
[25] Khodayari, A., Ghaffari, A., Kazemi, R., and Braunsting, R., “A Modified Car-following Model Based on a Neural Network Model of the Human Driver Effects”, IEEE Transactions on Systems, Man, and Cybernetics, Part A-Systems and Humans, Vol. 42, No. 6, pp. 1440–1449, (2011).
[26] Thiemann, C., Treiber, M., and Kesting, A., “Estimating Acceleration and Lane-changing Dynamics Based on NGSIM Trajectory Data”, Transportation Research Record: Journal of the Transportation Research Board, Vol. 2088, pp. 90-101, (2008).
[27] Box, G. P., Jenkins, G. M., and Reinsel, G. C., “Time Series Analysis: Forecasting and Control”, 3rd ed. Prentice-Hall (1994).
[28] Hamilton, J. D., “Time Series Analysis”, Princeton University Press, (1994).
[29] Katayama, T., “Subspace Methods for System Identification”, Springer-Verlag, Berlin, (2005).
[30] Ljung, L., “System Identification. Theory for the User”, 2nd ed. Prentice Hall, New York, (1999).
[31] Soderstrom, T. and Stoica, P., “System Identification”, Prentice-Hall, New York, (1989).
[32] Overschee, P., Van and De Moor, B., “Subspace Identification for Linear Systems. Theory–implementation–applications”, Kluwer Academic Publishers, (1996).
[33] Zhu, Y., “Multivariable System Identification for Process Control”, Pergamon, London, (2001).
[34] Jørgensen, J. B., Huusom, J. K., and Rawlings, J. B., “Finite Horizon MPC for Systems in Innovation Form”, 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC),Orlando, FL, USA, December 12-15, (2011).
[35] Ljung, L., “System Identification ToolboxTM 8 User’s Guide”, The MathWorks, Inc. (2012).
[37] Wang, L., “Model Predictive Control System Design and Implementation using MATLAB”, Springer, Australia, (2009).
[38] Bemporad, A., Morari, M., Dua, and Pistikopoulos, V., “The Explicit Linear Quadratic Regulator for Constrained Systems”, Automatica, Vol. 38, No. 1, pp. 3-20, (2002).
[39] Pipes, L. A., “An Operational Analysis of Traffic Dynamics”, Journal of Applied Physics, Vol. 24, No. 3, pp. 274–281, (1953).
[40] Nikolaou, M., “Model Predictive Controllers: A Critical Synthesis of Theory and Industrial Needs”, Elsevier Advances in Chemical Engineering, Vol. 1, No. 713, pp. 131–204, (2001).
[41] Palumbo, G., and Pennisi, S., “Feedback Amplifiers-Theory and Design”, Springer, New York, (2003).
[42] Ogata, K., “Modern Control Engineering”, Prentice Hall, New York, (2010).
Garcia, C.E., Prett, D.M., and Morari, M., “Model Predictive Control: Theory and Practice-A Survey”, Automatica, Vol. 25, No. 3, pp. 335–348, (1989).