By M. Papageorgiou
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Extra info for Applications of Automatic Control Concepts to Traffic Flow Modeling and Control
Installed, of traffic phenome- It should be noticed, an oversaturated as an optimization models, performance cri- inter- p r o b l e m on the which will be presented in 23 Mathematical models of traffic at road intersections quite different than the ones of traffic street described up to this point. are flow on a long This is due to the fact, that attention is focused on the intersection phenomena, built up of queues etc. rather than on the process of traffic flow. a) The oversaturated As long as vehicles red light period intersection arriving at an intersection riod, no problem arises.
Reason why traffic at city intersections there light periods However, conditions In other words, of mathematical this section. once traffic rather lights are are many ways of timing the green-red a better way of doing and a specified controlling section can be formulated basis lights have been introduced and there is certainly it under specified terion. that have been safety considerations than control purposes. installed, of traffic phenome- It should be noticed, an oversaturated as an optimization models, performance cri- inter- p r o b l e m on the which will be presented in 23 Mathematical models of traffic at road intersections quite different than the ones of traffic street described up to this point.
On the other hand, the traffic variables qj, w j are completely reproducible by use of the model eqns. ) and and can be considered as output variables. 1 is a suitable one for the proposed estimation proeedure. 6) and eqn. 3) c B ~ R8 space. 1) and we o b t a i n den- manner. ,n-I into eqns. 2) and eqns. 8) . procedure is p e r f o r m e d off-line, a rea- sonable initial c o n d i t i o n can be g i v e n b y i n s p e c t i o n of the m e a sured data x (0) = x . (3 9) 34 As an alternative approach, initial values of the state va- riables could be considered as additional unknown parameters.
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