An important aspect of an Automated Highway System is automatic vehicle following. Automatic Vehicle follower systems must address the problem of string stability, i.e., the problem of spacing error propagation, and in some cases, amplification upstream from one vehicle to another, due to some disturbance at the head of the platoon. An automatic vehicle following controller design that is (asymptotically) stable for one vehicle following another is not necessarily (asymptotically) stable for a string of vehicles. The dynamic coupling between vehicles in such close-formation platoons is a function of the available information (communicated as well as sensed), decentralized feedback control laws and the vehicle spacing policy in use. In the first half of this paper, we develop a framework for establishing conditions for stability of the string in the presence of such dynamic interactions. We then develop a metric for analyzing the performance of a platoon resulting from different vehicle following control algorithms. This metric is the guaranteed rate of attenuation/non-amplification of spacing errors from one vehicle to another. In the latter half of this paper, we outline and analyze various constant spacing vehicle follower algorithms. All these algorithms are analyzed for sensing/actuation lags.

1.
Caudill
R. J.
, and
Garrard
W. L.
, “
Vehicle Follower Longitudinal Control for Automated Transit Vehicles
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
99
, No.
4
, Dec.
1977
, pp.
241
248
.
2.
Chiu, A. Y., Stupp Jr., G. B., and Brown Jr., S. J., “Vehicle Follower Control with Variable Gains for short Headway Automated Guideway Transit Systems,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, Sept., 1977, pp. 183–189.
3.
D. Cho and J. K. Hedrick, “Automotive Powertrain modelling for Control,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, Vol. 111(4), Dec. 1989.
4.
Desoer, C. A., and Vidyasagar, M., Feedback System: Input-Output Properties, Academic Press, 1975.
5.
R. E. Fenton, and J. G. Bender, “A study of automatic car following,” IEEE Transactions on Vehicular Technology, Vol. VT-18, No. 18, Nov. 1969.
6.
Gerdes, J. C., Maciuca, D. B., Devlin, P. E., and Hedrick, J. K., “Brake System Modeling for IVHS Longitudinal Control,” Advances in Robust and Nonlinear Control, DSC-Vol. 53, pp. 119–126, ASME Winter Annual Meeting, 1993.
7.
J, C. Gerdes, A. S. Brown, and J. K. Hedrick, “Brake System Modeling for Vehicle Control,” submitted to 1995 ASME Winter Annual Meeting.
8.
W. L. Garrard, R. J. Caudill, A. L. Komhauser, D. MacKinnon, and S. J. Brown, “State-of-the-Art of Longitudinal Control of Automated Guideway Transit Vehicles,” High Speed Ground Transportation Journal, Vol. 12, no. 2, 1978.
9.
Hedrick, J. K., McMahon, D. H., Narendran, V. K., and Swaroop, D., “Longitudinal Vehicle Controller Design for IVHS Systems,” in Proceedings of the American Control Conference, Boston, pp. 3107–3112, 1991.
10.
Hedrick, J. K., McMahon, D. H., and Swaroop, D., “Vehicle Modeling and Control for Automated Highway Systems,” California Path Report, UCB-ITS-PRR-93-24, Nov, 1993.
11.
Kai Ching Chu, “Decentralized Control of high speed vehicle strings,” Transportation Science, pp. 361–383, June 1974.
12.
Kai-Ching Chu, “Optimal Decentralized Regulation for a String of Coupled Systems,” IEEE Transactions on Automatic Control, June 1974, pp. 243–246.
13.
Levine
J.
, and
Athans
M.
, “
On the optimal error regulation of a string of moving vehicles
,”
IEEE Transactions of Automatic Control
, Vol.
11
, Nov.
1966
, pp.
355
361
.
14.
Peppard
Lloyd E.
, “
String Stability of Relative motion PID vehicle control systems
,”
IEEE Transactions on Automatic Control
, Vol.
19–3:6
, pp.
529
531
, Oct.
1974
.
15.
D. B. Maciuca, J. C. Gerdes, and J. K. Hedrick, “Automatic Braking Control for IVHS,” Proceedings of the International Symposium on Vehicle Control, 1994.
16.
McMahon, D. H., “Robust Nonlinear Control of Uncertain Systems: An Application to Intelligent Vehicle Highway Systems (IVHS),” Ph.D dissertation, Vehicle Dynamics Lab., U. C. Berkeley, May 1994.
17.
D. H. McMahon, J. K. Hedrick, and S. E. Shladover, “Vehicle Modelling and Control for Automated Highway Systems,” in Proceedings of the 1990 American Control Conference, San Diego, CA.
18.
McMahon, D. H., Narendran, V. K., Swaroop, D., Hedrick, J. K., Chang, K. S., and Devlin, P. E., “Longitudinal Vehicle Controllers for IVHS: Theory and Experiment,” in Proceedings of the American Control Conference, pp. 1753–1757, 1992.
19.
Melzer
S. M.
, and
Kuo
B. C.
, “
Optimal Regulation of Systems described by a countably infinite number of objects
,”
Automatica
, Vol.
7
, Pergamon Press, pp.
359
66
,
1971
.
20.
Palmquist
U.
, “
Intelligent Cruise Control and Roadside information
,”
IEEE Micro
13
,
1
1993
, pp.
20
28
.
21.
Wei Ren, and David Green, “Continuous Platooning: A New Evolutionary and Operating Concept for Automated Highway Systems,” in Proceedings of the American Control Control Conference, Vol. 1, July 1994, pp. 21–25.
22.
D. Swaroop, C. D. Rizzuti, and J. K. Hedrick, “Limitations of Alternative Platooning Control Strategies,” in Proceedings of the 1994 ASME Winter Annual Meeting, Chicago, 1994.
23.
Carbaugh, J., Godbole, Datta., and Sengupta, R., NAHSC Task C2, Final Report, UCB PATH Technical Report, 1997.
24.
Sheikholeslam, S., and Desoer, C. A., “Longitudinal Control of a platoon of a platoon of vehicles,” in Proceedings of the American Control Conference, Vol. 1, May 1990, pp. 291–297.
25.
Shladover
S. E.
, “
Vehicle Follower control for dynamic entrainment of Automated Guideway Transit Vehicles
,”
Trans. ASME
, Vol.
101
, pp.
313
320
, Dec.
1979
.
26.
Shladover
S. E.
, “
Longitudinal control of automotive vehicles in close-vehicle formation platoons
,”
Transportation Research
, Vol.
14A
, No.
2
, pp.
63
81
, April
1980
.
27.
Shladover
S. E.
, “
Review of the State of Development of Advanced Vehicle Control Systems
,”
Vehicle System Dynamics
, Vol.
24
, pp.
551
595
,
1995
.
28.
Slotine, J-J. E., and Li, W., Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, 1991.
29.
D. Swaroop, “String Stability of Interconnected Systems—An Application to Automated Highway Systems,” Ph.D dissertation, University of California at Berkeley, December 1994.
30.
Swaroop
D.
,
Hedrick
J. K.
,
Chien
C. C.
, and
Ioannou
P. A.
, “
A Comparison of Spacing and Headway Control Strategy for Automatically Controlled Vehicles
,”,
Vehicle System Dynamics
Vol.
23
, No.
8
, pp.
597
625
, Nov.
1994
.
31.
Swaroop, Darbha, and K. R. Rajagopal, “Intelligent Cruise Control Systems and Traffic Flow stability,” California PATH Research Report No. UCB-ITS-PRR-98-36, December 1998.
32.
Swaroop
D.
, and
Huandra
R.
, “
Design of an ICC system based on a traffic flow specification
,”
Vehicle System Dynamics
, Vol.
30
, no.
5
, pp.
319
44
,
1998
.
33.
Varaiya, P. P., “Smart Vehicles on Smart Roads—Problems of Control,” IEEE Transactions on Automatic Control, Vol. 38, No. 2, February 1993.
34.
Wong, J. Y., Ground Vehicle Dynamics, Wiley, 1979.
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