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Stability of Local On‐Ramp Metering Control Laws
Author(s) -
AlvarezIcaza Luis,
RosasJaimes Oscar,
Lárraga María Elena
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1360
Subject(s) - metering mode , control theory (sociology) , cell transmission model , stability (learning theory) , engineering , control (management) , lyapunov function , observer (physics) , control engineering , state observer , computer science , nonlinear system , traffic congestion , civil engineering , mechanical engineering , physics , quantum mechanics , artificial intelligence , machine learning
A framework for stability analysis of local on‐ramp metering control strategies based on the cell transmission model is presented. Within this framework, it is possible to formulate Lyapunov and input‐state stability results for on‐ramp metering control strategies in an open section of highway with on‐ramps. Using this analysis, recommendations for the design of on‐ramp metering control laws set points are derived. Two examples on the use of such analysis are presented. One deals with the stability analysis of a local on‐ramp metering control law and the other with the design of a disturbance observer that, used in combination with the local on‐ramp metering control law, provides a more robust response to traffic regulation. Simulation results are included that confirm the possibility of using this framework to test the impact of local on‐ramp metering control strategies.