Suboptimal Feedback Control Design of Constrained Parabolic Systems in Uncertainty Conditions

摘要: The talk concerns minimax control problems for linear multidimensional parabolic systems with distributed uncertain perturbations and functions acting in the Dirichlet boundary conditions. underlying system is functioning under hard/pointwise constraints on state variables. main goal to design a feedback regulator that ensures required performance robust stability any feasible minimize an energy-type functional worst from given area. We develop efficient approach of constrained based certain characteristic features dynamics including transient monotonicity respect both controls turnpike asymptotic behavior infinite horizon. In this way, solving number associated open-loop approximation problems, we justify easily implemented suboptimal structure compute its optimal parameters ensuring closed-loop, highly nonlinear primary motivation study came environmental models, particular, those developed within Dynamical System Environmental Projects International Institute Applied Analysis (IIASA), Laxenburg, Austria. Department Mathematics, Wayne State University, Detroit, Michigan 48202 (boris@math.wayne.edu). This research was partly supported by USA National Science Foundation grants DMS-0304989 DMS-0603846 Australian Research Council grant DP-0451168.