Minimax Design of Constrained Parabolic Systems

摘要: This paper relates to minimax control design problems for a class of parabolic systems with nonregular boundary conditions and uncertain distributed perturbations under pointwise state constraints. The main attention is paid the Dirichlet that offers lowest regularity properties. Our variational analysis based on well-posed multistep approximations involves solving constrained optimal ODE PDE systems. procedure essentially employs monotonicity properties dynamics its asymptotics infinite horizon. Finally we justify suboptimal three-positional structure feedback controllers provide calculations their parameters ensure required system performance robust stability any admissible perturbations.