- Journal
- JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
- Année
- 2011
- Volume
- 348
- Numéro
- 4
- Pages
- 703-717
- Mois
- MAY
- DOI
- 10.1016/j.jfranklin.2011.01.012
Abstract
In this paper, using the energy concept, the control of traffic flow by traffic lights on an over-saturated single intersection is addressed. By regarding the flow entry of vehicles as the energy stored in the system, we show that the dissipative system theory can be applied. As a result, a state feedback control law is found in terms of the solution of an associated dissipation equation that renders the system non-accumulative, i.e., to get out of the over-saturation situation. The results of the simulations indicate that our control strategy guarantees a high degree of control benefit. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.