Journal
ISA TRANSACTIONS
Volume 53, Issue 6, Pages 1739-1745Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2014.08.017
Keywords
Car-following model; Reaction-time delay; State feedback control; Robust stability
Categories
Funding
- National Natural Science Foundation of China [71401007, 71422002, 71271020]
- Beijing Natural Science Foundation [9144031]
- Research Foundation of the State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University [RCS2014ZT21]
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In this paper, the stabilization strategies of a general nonlinear car-following model with reaction-time delay of the drivers are investigated. The reaction-time delay of the driver is time varying and bounded. By using the Lyapunov stability theory, the sufficient condition for the existence of the state feedback control strategy for the stability of the car-following model is given in the form of linear matrix inequality, under which the traffic jam can be well suppressed with respect to the varying reaction-time delay. Moreover, by considering the external disturbance for the running cars, the robust state feedback control strategy is designed, which ensures robust stability and a smaller prescribed H-infinity disturbance attenuation level for the traffic flow. Numerical examples are given to illustrate the effectiveness of the proposed methods. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.
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