Solution to the user equilibrium dynamic traffic routing problem using feedback linearization

Transportation Research Part B: Methodological

Volumn 32B, Issue 5, 1998, Pages 343-360

  Kachroo, Pushkin ^a   Özbay, Kaan ^b  

^a State University   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

TRAFFIC DIVERSION; TRAFFIC MANAGEMENT; TRANSPORT PLANNING;

CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; CONTROL THEORY; FEEDBACK CONTROL; LINEARIZATION; TRAFFIC CONTROL;

DYNAMIC TRAFFIC ROUTING PROBLEM; FEEDBACK LINEARIZATION; TRAFFIC DIVERSION;

TRANSPORTATION ROUTES;

EID: 0031594063     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(97)00031-3     Document Type: Article

References (25)

1. Elmqvist, H. (1975) SIMNON - an interactive simulation program for nonlinear systems. Report TFRT-3091. Department of Automatic Control, Lund University of Lund, Sweden.
2. Friesz, T. L., Luque, J., Tobin, R. L. and Wie, B. W. (1989) Dynamic network traffic assignment considered as a continuous time optimal control problem. Operations Research 37, 893-901.
3. Gartner, N. H. and Reiss, R. A. (1987) Congestion control in freeway corridors: the IMIS System. NATO ASI Series, F38, Flow Control of Congested Networks. Springer-Verlag, Berlin.
4. Godbole, D. N. and Sastry, S. S. (1995) Approximate decoupling and asymptotic tracking for MIMO systems. IEEE Transactions on Automatic Control 40, 441-450.
5. Gupta, A., Maslanka, V. and Spring, G. (1992) Development of a prototype KBES in the management of non-recurrent congestion on the Massachusetts Turnpike. Presented at the 71st Annual Meeting of TRB, Washington, DC.
6. Hall, W.H. (1974) Research on route diversion parameters. Final report prepared for FHWA.
7. Hobeika, A. G., Sivanandan, R., Subramaniam, S. and Özbay, K. (1993) Real-time traffic diversion model: conceptual approach. ASCE Journal of Transportation Engineering 19, 515-534.
8. Isidori, A. (1989) Nonlinear Control Systems. Springer-Verlag, Berlin.
9. Kachroo, P. and Özbay, K. (1996) Real time dynamic traffic routing based on fuzzy feedback control methodology. Transportation Research Record 1556.
10. Kachroo, P. and Özbay, K. (1997) Feedback control solutions to network level user-equilibrium real-time dynamic traffic assignment problems. Proceedings of IEEE Southeastcon '97, Blacksburg, VA, 12-14 April 1997.
11. Kachroo, P., Özbay, K., Kang, S. and Burns, J. A. (in press) System dynamics and feedback control formulations for real time dynamic traffic routing with an application example. Intelligent Transportation Systems-Traffic Sensing and Management. Journal on Mathematical and Computer Modelling (MCM).
12. Kachroo, P., Özbay, K. and Narayanan, A. (1997a) Investigating the use of Kalman filtering approaches for origin destination trip table estimation. Proceedings of IEEE Southeastcon '97, Blacksburg, VA, 12-14 April, 1997.
13. Kachroo, P, Özbay, K. and Zhang, Y. (1997b) Wide-area incident management expert system. FHWA report.
14. Ketselidou, Z. (1993) Potential use of knowledge-based expert system for freeway incident management. ITS, University of California, Irvine, CA.
15. Kuo, B. C. (1987) Automatic Control Systems. Prentice Hall, Englewood Cliffs, NJ.
16. Lighthill, M. J. and Whitham, G. B. (1955) On kinematic waves II: a theory of traffic flow on long crowded roads. Proceedings of the Royal Society of London Series A 229, 317-345.
17. Messmer, A. and Papageorgiou, M. (1995) Route diversion control in motorway networks via nonlinear optimization. IEEE Transactions on Control Systems Technology 3.
18. Mosca, E. (1995) Optimal Predictive and Adaptive Control. Prentice Hall, Englewood Cliffs, NJ.
19. Papageorgiou, M. (1983) Applications of Automatic Control Concepts to Traffic Flow Modeling and Control. Springer-Verlag, Berlin.
20. Papageorgiou, M. (1990) Dynamic modeling, assignment, and route guidance traffic networks. Transportation Research-B 24, 471-495.
21. Papageorgiou, M. and Messmer, A. (1991) Dynamic network traffic assignment and route guidance via feedback regulation. Transportation Research Board, Washington, DC.
22. Peeta, S. and Mahmassani, H. (1995) Multiple user classes real-time traffic assignment for on-line operations: a rolling horizon solution framework. Transportation Research-C 3, 83-98.
23. Reiss, R. A., Gartner, N. H. and Cohen, S. (1991) Dynamic control and traffic performance in a freeway corridor: a simulation study. Transportation Research-A 25, 267-276.
24. Slotine, J. J. E. and Li, W. (1991) Applied Nonlinear Control. Prentice Hall, Englewood Cliffs, NJ.
25. Tan, B., Boyce, D. E. and LeBlanc, L. J. (1993) A new class of instantaneous dynamics user-optimal traffic assignment models. Operations Research 41, 192-202.