## Optimization and Systems Theory Seminar

Department of Mathematics, KTH

### Alexander Stotsky

Division of Optimization and Systems Theory,

Department of Mathematics,

Roayal Institute of Technology,

S-100 44 Stockholm,

Sweden.

E-mail:
stotsky@math.kth.se

###
On roadway control for automated highway system

Drastical deterioration of the traffic situation during recent years
necessitates the development of the automated highway systems (AHS)
where all vehicles are equipped by intelligent cruise controllers
which keep the desired safety distance automatically and "smart"
infrastructure has the roadway controller which sends appropriate
speed commands to vehicles at each section of the freeway lanes so
that to achieve the desired traffic density distribution. The major
source of capacity limitations, congestion problems etc. is stream
disturbances such as entrance and egress of vehicles. In order to
eliminate the effect of stream disturbances roadway controller should
be used. We present new macroscopic traffic flow model for mean speed
evolution on a freeway which takes into account command speed
generated by roadway controller which provides the desired traffic
density distribution in the presence of stream disturbances.
Stability analysis of overall system is performed and results are
confirmed by simulation. In the second part of seminar we present
stability analysis of conventional traffic flow without stream
disturbances. We prove that density and mean speed on freeway converge
to equilibrium values.

Calendar of Seminars

*Last update: October 3, 1996 by Anders Forsgren,
andersf@math.kth.se.
*