Talk of Prof. Natalia Dmitruk

November 24, 2015

--- Title: Robust Distributed Feedbacks in Optimal Control Problems

Time: November 24, 2015
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Prof. Natalia Dmitruk
Optimal Control Methods Department
Belarusian State University, Belarus


Tuesday 2015-11-24 16:00
IST-Seminar-Room V2.268 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen



In this presentation we consider optimal control problems for a team of linear continuous time systems with coupled dynamics and/or constraints and subject to unknown bounded disturbances. It is assumed that centralized control of the team is impossible and the goal is to construct suboptimal distributed control strategy when each system plans only for its own control input subject to some delayed information communicated between the systems. The distributed control scheme proposed breaks the large scale optimal control problem into smaller local sub-problems which recursive feasibility is guaranteed at each sampling time. Robust constraint satisfaction and performance improvement for the overall system under distributed inputs are shown. We also discuss how to combine the above algorithm with asymptotic methods for solving regularly perturbed optimal control problems to simplify the local optimal control problems for systems with weak dynamical interconnections, and how to utilize distributed set-membership estimation for measurement feedback control.


Biographical Information

Natalia Dmitruk graduated in Applied Mathematics from the Belarusian State University in Minsk in 1997 and received her Ph.D. degree in Mathematics at the Institute of Mathematics of the National Academy of Sciences of Belarus in 1999. Since 1997 she has held the research position at the Institute of Mathematics. In 2004 she was with Institute of Calculus Application, Bari under CNR-NATO Fellowship. In 2006 and 2007 she visited IST with the research grants from DAAD. In 2013 she joined the Belarusian State University where she holds a position of Assistant Professor at the Optimal Control Methods Department.

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