Document Type
Technical Report
Abstract
The paper concerns minimax control problems for linear multidimensional parabolic systems with distributed uncertain perturbations and control functions acting in mixed (Robin) boundary conditions. The main goal is to design a feedback control regulator that ensures the required state performance and robust stability under any feasible perturbations and minimize an energy-type functional under the worst perturbations from the given area. We design and justify an easily implemented suboptimal structure of the feedback boundary regulator and compute its optimal parameters ensuring the required state performance and robust stability of the nonlinear closed-loop control system on the infinite horizon.
Number in Series
2007.04
Disciplines
Applied Mathematics | Mathematics
Recommended Citation
Mordukhovich, Boris S., "Suboptimal Minimax Design of Constrained Parabolic Systems with Mixed Boundary Control" (2007). Mathematics Research Reports. 49.
https://digitalcommons.wayne.edu/math_reports/49
Comments
This research was partly supported by the USA National Science Foundation under grants DMS-0304989 and DMS-0603846 and by the Australian Research Council under grant DP-0451168.