Stability analysis of controlled freeway traffic systems with different on-ramp configurations. Issue 6 (2019)

• Record Type: Journal Article
• Authors: Pasquale, C.; Sacone, S.; Siri, S.
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 6(2019)
• Page Start: 13
• Page End: 18
• Publication Date: 2019
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.08.141
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper considers a freeway stretch controlled via ramp metering and proposes a stability analysis for this system. The dynamics of the system is represented with the Asymmetric Cell Transmission Model, so that a freeway stretch can be seen as a piecewise-affine system switching among different sets of linear difference equations. The stability analysis is firstly referred to the uncontrolled system and, secondly, to the closed-loop system in which a switching proportional feedback control law is applied. In particular, different on-ramp configurations are analysed, including to the two extreme cases of only one on-ramp in a freeway stretch or on-ramps in each cell of the freeway stretch.