dc.contributor.author	Yu, Tungsheng	en
dc.contributor.committeechair	Ball, Joseph A.	en
dc.contributor.committeemember	Wheeler, Robert L.	en
dc.contributor.committeemember	Thomson, James E.	en
dc.contributor.committeemember	Russell, David L.	en
dc.contributor.committeemember	Kachroo, Pushkin	en
dc.contributor.department	Mathematics	en
dc.date.accessioned	2014-03-14T20:07:53Z	en
dc.date.adate	1998-01-23	en
dc.date.available	2014-03-14T20:07:53Z	en
dc.date.issued	1997-12-18	en
dc.date.rdate	1998-01-23	en
dc.date.sdate	1997-12-18	en
dc.description.abstract	The traffic signal affects the life of virtually everyone every day. The effectiveness of signal systems can reduce the incidence of delays, stops, fuel consumption, emission of pollutants, and accidents. The problems related to rapid growth in traffic congestion call for more effective traffic signalization using robust feedback control methodology. Online traffic-responsive signalization is based on real-time traffic conditions and selects cycle, split, phase, and offset for the intersection according to detector data. A robust traffic feedback control begins with assembling traffic demands, traffic facility supply, and feedback control law for the existing traffic operating environment. This information serves the input to the traffic control process which in turn provides an output in terms of the desired performance under varying conditions. Traffic signalization belongs to a class of hybrid systems since the differential equations model the continuous behavior of the traffic flow dynamics and finite-state machines model the discrete state changes of the controller. A complicating aspect, due to the state-space constraint that queue lengths are necessarily nonnegative, is that the continuous-time system dynamics is actually the projection of a smooth system of ordinary differential equations. This also leads to discontinuities in the boundary dynamics of a sort common in queueing problems. The project is concerned with the design of a feedback controller to minimize accumulated queue lengths in the presence of unknown inflow disturbances at an isolated intersection and a traffic network with some signalized intersections. A dynamical system has finite L₂-gain if it is dissipative in some sense. Therefore, the H<SUB>infinity</SUB>-control problem turns to designing a controller such that the resulting closed loop system is dissipative, and correspondingly there exists a storage function. The major contributions of this thesis include 1) to propose state space models for both isolated multi-phase intersections and a class of queueing networks; 2) to formulate H<SUB>infinity</SUB> problems for the control systems with persistent disturbances; 3) to present the projection dynamics aspects of the problem to account for the constraints on the state variables; 4) formally to study this problem as a hybrid system; 5) to derive traffic-actuated feedback control laws for the multi-phase intersections. Though we have mathematically presented a robust feedback solution for the traffic signalization, there still remains some distance before the physical implementation. A robust adaptive control is an interesting research area for the future traffic signalization.	en
dc.description.degree	Ph. D.	en
dc.format.mimetype	application/pdf	en
dc.identifier.other	etd-02298-16746	en
dc.identifier.sourceurl	http://scholar.lib.vt.edu/theses/available/etd-02298-16746/	en
dc.identifier.uri	http://hdl.handle.net/10919/26334	en
dc.language.iso	en	en
dc.publisher	Virginia Tech	en
dc.relation.haspart	etd.pdf	en
dc.relation.haspart	hardw.pdf	en
dc.relation.haspart	y1.pdf	en
dc.relation.haspart	y2.pdf	en
dc.relation.haspart	y3.pdf	en
dc.relation.haspart	y4.pdf	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject	Robust control	en
dc.subject	Dissipative system	en
dc.subject	Traffic signalization	en
dc.subject	Intersection	en
dc.subject	Hybrid system	en
dc.subject	Hamilton-Jacobi inequality	en
dc.subject	Finite state machines	en
dc.subject	Queueing network	en
dc.title	On-line Traffic Signalization using Robust Feedback Control	en
dc.type	Dissertation	en
dc.type.dcmitype	Text	en
thesis.degree.discipline	Mathematics	en
thesis.degree.grantor	Virginia Polytechnic Institute and State University	en
thesis.degree.level	doctoral	en
thesis.degree.name	Ph. D.	en

On-line Traffic Signalization using Robust Feedback Control

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