Einladung zum Vortrag im Kolloquium Technische Kybernetik

Optimal on-line control under imperfect information

Dr. Natalia Dmitruk

Institute of Mathematics
National Academy of Sciences of Belarus
Minsk, Belarus

    Zeit: Dienstag · 30. 8. 2005 · 16:00 Uhr
    Ort: Raum V 9.31 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen

Abstract

One of the central problems of the mathematical optimal control theory is the optimal synthesis problem. While in the concept of classical closed-loop principle there are no effective methods for solving the problem of synthesis of optimal feedbacks for general control systems, in the framework of on-line control principle feedbacks of desired properties can be constructed. In this talk we shall present an approach to optimal on-line control of dynamical systems suggested in the Belarussian State University and the Institute of Mathematics of the National Academy of Sciences of Belarus. Main attention will be given to linear time-varying optimal control systems incorporating uncertainties and disturbances where state measurements are impossible and optimal controls have to be constructed by using incomplete and inexact measurements of a sensor. The approach incorporates real-time estimations of unknown parameters based on sensor observations together with constructive methods of optimization. Some ideas for developing the approach to on-line control of large-scale dynamical systems and systems described by differential equations with distributed parameters will be discussed.

Biographical Information

Natalia Dmitruk graduated in Applied Mathematics from the Belarussian State University in Minsk in 1997 and received the Ph.D. degree in Mathematics at the Institute of Mathematics of the National Academy of Sciences of Belarus. Since 1997 she has held the position at the Institute of Mathematics and since 2000 she was Assistant Professor at the Belarussian State University. In 2004 she was with Institute of Calculus Application, Bari under CNR-NATO Fellowship. Her main research interests include optimal control theory, optimal state and measurement feedback construction and state estimation.