Einladung zum Vortrag im Kolloquium Technische Kybernetik
Optimization of control systems in real time
Dr. Natalia Balashevich
Department of Control Processes Theory
Institute of Mathematics, National Academy of Sciences of Belarus
Zeit: Montag · 23. 7. 2007 · 16:00 Uhr
Ort: IST-Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
Methods of on-line computation of optimal feedbacks for control systems are discussed. The suggested approach is based on constructing a realization of optimal feedback in any concrete control process. The implementation of the algorithm of positional solution is oriented on fast corrections of optimal open-loop control subject to small variations of initial state. This is possible due to storage a small amount of additional information allowing to avoid the complete integration of primal or adjoint system. This strategy proved to be effective for real-time optimization of control systems on finite interval.
The details of the suggested approach have been elaborated by the way of successive complication of studied problems. At first, a method of calculating current values of optimal feedback in linear endpoint optimal control problem has been developed. Then this result has been generalized for linear systems with intermediate state constraints. The next step is the supplement of the algorithm with the procedure of optimization with respect to parameters for solving the optimal control problem of a piecewise linear system. At last, for real-time optimization of control systems with nonlinear dynamics, on-line procedures of asymptotic corrections of solutions to the piecewise linear optimal control problems are suggested.
Natalia Balashevich received Master's degree in Applied Mathematics from the Belarussian State University (Minsk) in 1990, and Ph.D. degree in Mathematical Cybernetics from the Institute of Mathematics, National Academy of Sciences of Belarus, in 1997. She is a Senior Researcher in the Department of Mathematical Systems Theory at the Institute of Mathematics, National Academy of Sciences of Belarus, and an Associate Professor in the Department of Optimal Control Methods, Belarussian State University. Her research interests are primarily in optimal control, real-time optimization, robust control. She is the author of over 40 scientific publications. She has held visiting appointments in Germany, China, Sweden, USA. She serves as International Coordinator for Central and Eastern Europe in Association "European Women in Mathematics".