By M. Papageorgiou

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Extra resources for Applications of Automatic Control Concepts to Traffic Flow Modeling and Control

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Saturated intersection grow we have the case of an A mathematical model of an over was developed by Gazis and Potts/33/ along with some preliminary Two competing during rush at the intersection at a faster rate than the throughput, oversaturated during the are served during the next green light pe- analysis of the problem. 11. The arrival rates of the vehicles in the two flows are d I and d 2. The maximum throughput rate, or "saturation for both flows is s I and s 2 respectively. green light phases in both directions cle time of the light interchange flow", The effective are gl and g2" The cZ at the intersection be denoted as tc, and will be considered will as being given.

4 shows mate. 5 shows on a d i g i t a l from both was compared speed o b t a i n e d the c o m p a r i s o n Figure implemented data segment with the true f r o m the real data. of the true c a r c o u n t the p l o t s of the true com- ends. The segment Figure and its e s t i - segment mean speed and its estimate. The t r a c k i n g strated lized capability in b o t h figures. do n o t e x h i b i t Unfortunately, large tain c o n g e s t i o n data, cult estimation task. 3E of the e s t i m a t o r variations which would are c l e a r l y the traffic in speed represent demondata uti- and do not con- a much more diffi- EXACT COUNT • ",, ~TIMATE OF COUNT 3C Figure ..

Known initial conditions • accurate measurements. qO. 1 - State reconstruction with four input variables. 43 In an o f f - l i n e priori tor e r r o r s and besides, In an o n - l i n e fullfill~d. surements are m o r e an i n i t i a l condition however, conditions or less above inaccurate. 2 m a y result. process the m e t h o d Because ments u s e d as w i ~ be shown both of the s t o c h a s t i c and t r a f f i c dynamics, qo~ II Figure effects shown to fit for comin figure of i n p u t set d e p e n d s resp.

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