Abstract | ||
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Objective of this paper is to define an efficient control framework for freeway systems based on ramp metering. First of all, a Model Predictive Control (MPC) scheme is proposed in which the well known nonlinear cell transmission model (CTM) is used for the prediction. The model is then reformulated as a mixed logical dynamical (MLD) system, i.e. it is described by linear dynamic equations and linear inequalities in which both continuous and binary variables are present. In this way, the finite-horizon optimal control problem in the MPC scheme is transformed into a mixed integer quadratic programming problem whose objective function quadratically penalizes the deviation of the state variables from a specific equilibrium point. It is shown that the resulting control law stabilizes the system. Moreover, in order to make it more suitable for a real-time use, the foregoing control strategy is redesigned into an event-triggered control scheme. The idea is to update the control law only when the considered error exceeds a pre-specified threshold. Simulation results demonstrate how the use of the triggering rule allows to preserve the good performance of the proposed control scheme, while reducing the overall computational load. |
Year | DOI | Venue |
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2012 | 10.1109/CDC.2012.6426241 | Decision and Control |
Keywords | Field | DocType |
integer programming,optimal control,predictive control,quadratic programming,road traffic control,stability,CTM,MLD system,MPC scheme,binary variable,continuous variable,event-triggered model predictive control,finite-horizon optimal control problem,freeway system,linear dynamic equation,linear inequality,mixed integer quadratic programming,mixed logical dynamical system,nonlinear cell transmission model,objective function,ramp metering,state variable,system stability,triggering rule | Mathematical optimization,Optimal control,Linear-quadratic-Gaussian control,Cell Transmission Model,Computer science,Control theory,Model predictive control,Integer programming,State variable,Quadratic programming,Sliding mode control | Conference |
ISSN | ISBN | Citations |
0743-1546 E-ISBN : 978-1-4673-2064-1 | 978-1-4673-2064-1 | 10 |
PageRank | References | Authors |
1.00 | 4 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
A. Ferrara | 1 | 953 | 126.03 |
Alberto Nai Oleari | 2 | 20 | 2.55 |
Simona Sacone | 3 | 129 | 32.17 |
Silvia Siri | 4 | 88 | 21.27 |