Some problems of distributed parameter control with unilateral constraints
نویسندگان
چکیده
منابع مشابه
Some Problems of Distributed Parameter Control with Unilateral Constraints 1
A class of constrained LQ optimal control problems can be abstractly formulated as seeking a nearest point in a `slice' S \ C where S is an aane subspace of a Hilbert space H and C is the (possibly unbounded) closed convex set corresponding to imposition of the constraint. Subject to a slackness condition, it is shown that the optimal control must then be a `nearest point in C' for some control...
متن کاملOn some nonlinear optimal control problems with affine control constraints
We investigate a class of nonlinear optimal control problems with pointwise affine control constraints. Necessary optimality conditions of first order and sufficient second order conditions are obtained. For the numerical solution of the optimal control problems a semismooth Newton method is proposed. Local superlinear convergence of the infinite dimensional method is proved. Finally, the prope...
متن کاملA distributed parameter systems view of control problems in drilling
We give a detailed view of estimation and control problems raised by the drilling process where the distributed nature of the system cannot be ignored. In particular, we focus on the transport phenomena in Managed Pressure Drilling (MPD) and UnderBalanced Operations (UBO), as well as the time-delay mechanisms of the mechanical stick-slip vibrations. These industrial challenges raise increasingl...
متن کاملControl Problems with Equality Constraints
not available at time of publication. Dimitris Bertsimas Massachusetts Insitute of Technology [email protected] MS8 Less is More: Robustness and Sparsity in Multivariate Statistics We describe applications of robust optimization in the context of machine learning, with a focus on classification and regression, principal component analysis and fitting of graphical models. In these tasks, sparsity...
متن کاملOptimization Techniques for Solving Elliptic Control Problems with Control and State Constraints. Part 2: Distributed Control
Part 2 continues the study of optimization techniques for elliptic control problems subject to control and state constraints and is devoted to distributed control. Boundary conditions are of mixed Dirichlet and Neumann type. Necessary conditions of optimality are formally stated in form of a local Pontryagin minimum principle. By introducing suitable discretization schemes, the control problem ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1990
ISSN: 0022-247X
DOI: 10.1016/0022-247x(90)90399-z