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On the stability of traffic perimeter control in two-region urban cities
- Source :
-
Transportation Research Part B: Methodological . Nov2012, Vol. 46 Issue 9, p1159-1176. 18p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, stability analysis of traffic control for two-region urban cities is treated. It is known in control theory that optimality does not imply stability. If the optimal control is applied in a heavily congested system with high demand, traffic conditions might not change or the network might still lead to gridlock. A city partitioned in two regions with a Macroscopic Fundamental Diagram (MFD) for each of the regions is considered. Under the assumption of triangular MFDs, the two-region MFDs system is modeled as a piecewise second-order system. Necessary and sufficient conditions are derived for stable equilibrium accumulations in the undersaturated regimes for both MFDs. Moreover, the traffic perimeter control problem for the two-region MFDs system is formulated. Phase portraits and stability analysis are conducted, and a new algorithm is proposed to derive the boundaries of the stable and unstable regions. Based on these regions, a state-feedback control strategy is derived. Trapezoidal shape of MFDs are also addressed with numerical solutions. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01912615
- Volume :
- 46
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Transportation Research Part B: Methodological
- Publication Type :
- Academic Journal
- Accession number :
- 82427402
- Full Text :
- https://doi.org/10.1016/j.trb.2012.04.004