A penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system
Language
en
Article de revue
This item was published in
ESAIM: Control, Optimisation and Calculus of Variations. 2021, vol. 27, p. 17
EDP Sciences
English Abstract
In this paper, we consider the infinite time horizon LQR optimal control problem for the linearized Boussinesq system. The goal is to justify the approximation by penalization of the free divergence condition in this ...Read more >
In this paper, we consider the infinite time horizon LQR optimal control problem for the linearized Boussinesq system. The goal is to justify the approximation by penalization of the free divergence condition in this context. We establish convergence results for optimal controls, optimal solutions and Riccati operators when the penalization parameter goes to zero. These results are obtained under two different assumptions. The first one treats the linearization around a sufficiently small stationary state and an arbitrary control operator (possibly of finite rank), while the second one does no longer require the smallness of the stationary state but requires to consider controls distributed in a subdomain and depending on the space variable.Read less <
English Keywords
Linear quadratic optimal control
Riccati theory
Boussinesq system
penalty method
controllability
ANR Project
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Origin
Hal imported