Tel Aviv University
 
Hello everyone,
 
The next colloquium talk will be held on Monday, 14/5/2012, 12:15, Schreiber
006, Tel Aviv University. The speaker is
 
     Arie Levant (Tel Aviv University)
 
and the title of his talk is
 
     Advanced Mathematical Black-Box Control
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloqiua, see
 <http://www.math.tau.ac.il/~klartagb/colloq_2011.html>
You are all welcome to suggest colloquium speakers for this semester.
 
Yours,
Bo'az
 
--------------
 
Abstract: Control theory deals with processes depending on an input
parameter called control. The real-time information on the process is
provided by an output, as a result of "measurements". The control task is to
adjust the control input in time, so as to provide for needed process
features. The standard approach is to build a mathematical model of the
process and to develop a corresponding feedback control.
 
Unfortunately, it often happens in practice that no reliable model is
available. The question arises whether it is possible to treat a system as a
"black box", avoiding any dependence on the model. In that way not
only parameters of the model are considered uncertain, but the very nature
of the model is uncertain. A method proposed in this talk mathematically
establishes such approach.
 
Practical relative degree notion is introduced. Universal controllers
corresponding to each degree are developed to make the output track signals
given in real time. Computer simulation and recent practical results of
in-vivo blood glucose concentration control demonstrate the feasibility of
the suggested approach.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <klartagb@post.tau.ac.il>