Control of freeway traffic flow in unstable phase by H∞ theory

IEEE Transactions on Intelligent Transportation Systems

Volumn 9, Issue 2, 2008, Pages 193-208

  Chiang, Yi Hsien ^b   Juang, Jyh Ching ^a,b  

^a IEEE

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

H control; Intelligent transportation system (ITS); Ramp metering; Speed signaling; Traffic flow control

Indexed keywords

ARCHITECTURAL DESIGN; COMPUTER NETWORKS; CONTROL EQUIPMENT; FEEDBACK LINEARIZATION; HIGHWAY SYSTEMS; HIGHWAY TRAFFIC CONTROL; INTELLIGENT VEHICLE HIGHWAY SYSTEMS; LINEARIZATION; VEHICLE LOCATING SYSTEMS; WAVES; WEIGHT CONTROL;

(E ,2E) THEORY; (I ,J) CONDITIONS; CONTROL DESIGNS; FEEDBACK LINEARIZATION TECHNIQUES; FREE WAY TRAFFIC; IN-HOMOGENEITY; INTELLIGENT TRANSPORTATION SYSTEM (ITS); MACROSCOPIC MODELING; MACROSCOPIC TRAFFIC FLOW MODEL; RAMP METERING; TRAFFIC CONTROLLERS; TRAFFIC FLOW CONTROL; TRAFFIC FLOWING; TRAFFIC SYSTEMS; TWO TYPES; UNSTABLE PHASE;

TRAFFIC SURVEYS;

EID: 45249086797     PISSN: 15249050     EISSN: None     Source Type: Journal    
DOI: 10.1109/TITS.2008.922875     Document Type: Article

References (27)

1. A. Alessandri, A. Di Febbraro, A. Ferrara, and E. Punta, "Nonlinear optimization for freeway control using variable-speed signaling," IEEE Trans. Veh. Technol., vol. 48, no. 6, pp. 2042-2052, Nov. 1999.
2. B. van Arem, C. J. G. van Driel, and R. Visser, "The impact of cooperative adaptive cruise control of traffic-flow characteristics," IEEE Trans. Intell. Transp. Syst., vol. 7, no. 4, pp. 429-436, Dec. 2006.
3. A. Bose and P. A. Ioannou, "Analysis of traffic flow with mixed manual and semiautomated vehicles," IEEE Trans. Intell. Transp. Syst., vol. 4, no. 4, pp. 173-188, Dec. 2003.
4. C. C. Chien, Y. Zhang, and P. A. Ioannou, "Traffic density control for automated highway systems," Automatica, vol. 33, no. 7, pp. 1273-1285, Jul. 1997.
5. K. Furuta and S. Phoojaruenchanachai, "An algebraic approach to discrete-time H infinity control problem," in Proc. Amer. Control Conf., San Diego, CA, 1990, pp. 3068-3072.
6. N. B. Goldstein and K. S. P. Kumar, "A decentralized control strategy for freeway regulation," Transp. Res., Part B, vol. 16B, no. 4, pp. 279-290, 1982.
7. G. Gomes and R. Horowitz, "A study of two onramp metering schemes for congested freeways," in Proc. Amer. Control Conf., Jun. 2003, pp. 3756-3761.
8. A. Hegyi, B. De Schutter, and J. Hellendoorn, "Optimal coordination of variable speed limits to suppress shock waves," IEEE Trans. Intell. Transp. Syst., vol. 6, no. 1, pp. 102-112, Mar. 2005.
9. L. Isaksen and H. J. Payne, "Suboptimal control of linear systems by augmentation with application to freeway traffic regulation," IEEE Trans. Autom. Control, vol. AC-18, no. 3, pp. 210-219, Jun. 1973.
10. P. Kachroo and K. Krishen, "System dynamics and feedback control design problem formulations for real time ramp metering," Trans. SDPS, J. Integr. Des. Process Sci., vol. 4, no. 1, pp. 37-54, Mar. 2000.
11. P. Kachroo and K. Özbay, Feedback Control Theory for Ramp Metering in Intelligent Transportation Systems. Norwell, MA: Kluwer, 2003.
12. P. Kachroo and K. Özbay, Feedback Control Theory for Dynamic Traffic Assignment. New York: Springer-Verlag, 1999.
13. P. Kachroo and K. Özbay, "Feedback control solutions to network level user-equilibrium real-time dynamic traffic assignment problems," Netw. Spatial Econom., vol. 5, no. 3, pp. 243-260, Sep. 2005.
14. K. Li and P. Ioannou, "Modeling of traffic flow of automated vehicles," IEEE Trans. Intell. Transp. Syst., vol. 5, no. 2, pp. 99-113, Jun. 2004.
15. M. J. Lighthill and G. B. Whitham, "On kinematic waves-I: Flood movement in long rivers," in Proc. R. Soc Lond. A, Math. Phys. Sci., May 1955, vol. 229, pp. 281-316.
16. M. J. Lighthill and G. B. Whitham, "On kinematic waves - II: Theory of traffic flow on long crowded roads," in Proc. R. Soc. Lond. A, Math. Phys. Sei., May 1955, vol. 229, pp. 317-345.
17. M. Papageorgiou, "Multilayer control system design applied to freeway traffic," IEEE Trans. Autom. Control, vol. AC-29, no. 6, pp. 482-490, Jun. 1984.
18. M. Papageorgiou, Applications of Automatic Control Concepts to Traffic Flow Modeling and Control, vol. 50. Berlin, Germany: Springer-Verlag, 1986.
19. M. Papageorgiou and A. Kotsialos, "Freeway ramp metering: An overview," IEEE Trans. Intell. Transp. Syst., vol. 3, no. 4, pp. 271-281, Dec. 2002.
20. H. J. Payne, "Models of freeway traffic and control," in Mathematical Models of Public Systems, ser. No. 1 of Simulation Council Proceedings Series, vol. 1, G. A. Bekey, Ed. La Jolla, CA: Simulation Council, 1971, pp. 51-61.
21. P. I. Richards, "Shock waves on the highway," Oper. Res., vol. 4, no. 1, pp. 42-51, Feb. 1956.
22. K. Santhanakrishnan and R. Rajamani, "On spacing policies for adaptive cruise control," IEEE Trans. Intell. Transp. Syst., vol. 4, no. 4, pp. 198-204, Dec. 2003.
23. S. Smulders, "Control of freeway traffic flow by variable speed signs," Transp. Res., Part B, vol. 24B, no. 2, pp. 111-132, 1990.
24. D. Swaroop and J. K. Hedrick, "String stability of interconnected systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 349-357, Mar. 1996.
25. D. Swaroop, J. K. Hedrick, and S. B. Choi, "Direct adaptive longitudinal control of vehicle platoons," IEEE Trans. Veh. Technol., vol. 50, no. 1, pp. 150-161, Jan. 2001.
26. D. Swaroop and K. R. Rajagopal, "Intelligent cruise control systems and traffic flow stability," Transp. Res., Part C, vol. 7, no. 6, pp. 329-352, Dec. 1999.
27. J. Zhou and H. Peng, "Range policy of adaptive cruise control vehicles for improved flow stability and string stability," IEEE Trans. Intell. Transp. Syst., vol. 6, no. 2, pp. 229-237, Jun. 2005.