School of Mathematical Sciences
Monday, May 14, 2012
Schreiber 006, 12:15
Tel Aviv University
Advanced Mathematical Black-Box Control
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.
Coffee will be served at 12:00 before the lecture
at Schreiber building 006