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dc.contributor.authorLi, Yanning
dc.contributor.authorCanepa, Edward S.
dc.contributor.authorClaudel, Christian
dc.date.accessioned2016-01-19T14:44:20Z
dc.date.available2016-01-19T14:44:20Z
dc.date.issued2014-03
dc.identifier.citationLi Y, Canepa E, Claudel C (2014) Optimal Control of Scalar Conservation Laws Using Linear/Quadratic Programming: Application to Transportation Networks. IEEE Trans Control Netw Syst 1: 28–39. Available: http://dx.doi.org/10.1109/tcns.2014.2304152.
dc.identifier.issn2325-5870
dc.identifier.doi10.1109/tcns.2014.2304152
dc.identifier.urihttp://hdl.handle.net/10754/594249
dc.description.abstractThis article presents a new optimal control framework for transportation networks in which the state is modeled by a first order scalar conservation law. Using an equivalent formulation based on a Hamilton-Jacobi (H-J) equation and the commonly used triangular fundamental diagram, we pose the problem of controlling the state of the system on a network link, in a finite horizon, as a Linear Program (LP). We then show that this framework can be extended to an arbitrary transportation network, resulting in an LP or a Quadratic Program. Unlike many previously investigated transportation network control schemes, this method yields a globally optimal solution and is capable of handling shocks (i.e., discontinuities in the state of the system). As it leverages the intrinsic properties of the H-J equation used to model the state of the system, it does not require any approximation, unlike classical methods that are based on discretizations of the model. The computational efficiency of the method is illustrated on a transportation network. © 2014 IEEE.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.subjectDistributed parameter systems
dc.subjectinteger programming
dc.subjectlinear programming
dc.subjectnetworks
dc.subjectoptimal control
dc.subjectquadratic programming
dc.subjecttraffic control
dc.titleOptimal Control of Scalar Conservation Laws Using Linear/Quadratic Programming: Application to Transportation Networks
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentMechanical Engineering Program
dc.identifier.journalIEEE Transactions on Control of Network Systems
kaust.personLi, Yanning
kaust.personCanepa, Edward S.
kaust.personClaudel, Christian G.


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