Title
An event-triggered Model Predictive Control scheme for freeway systems
Abstract
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
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. Ferrara1953126.03
Alberto Nai Oleari2202.55
Simona Sacone312932.17
Silvia Siri48821.27