Add to ORKGIn this article a stabilizing feedback control is computed for a semilinear parabolic partial differential equation utilizing a nonlinear model predictive (NMPC) method. In each level of the NMPC algorithm the finite time horizon open loop problem is solved by a reduced-order strategy based on proper orthogonal decomposition (POD). A stability analysis is derived for the combined POD-NMPC algorithm so that the lengths of the finite time horizons are chosen in order to ensure the asymptotic stability of the computed feedback controls. The proposed method is successfully tested by numerical examples
Abstract—Nonlinear Model Predictive Control (NMPC), generally based on nonlinear state space models,...
We provide an introduction to proper orthogonal decomposition (POD) model order reduction with focus...
Stabilization of the nonlinear Korteweg-de Vries (KdV) equation on a bounded interval by model predi...
In this article a stabilizing feedback control is computed for a semilinear parabolic partial differ...
In this article a stabilizing feedback control is computed for a semilinear parabolic partial differ...
An optimal control problem governed by a semilinear heat equation is solved using a globalized inexa...
Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal cont...
The topic of this thesis is the theoretical and numerical research of optimal control problems for u...
In this paper we study the approximation of an optimal control problem for linear parabolic PDEs wit...
We consider the following problem of error estimation for the optimal control of nonlinear...
In this paper we use a reference trajectory computed by a model predictive method to shrink the comp...
Abstract—This work focuses on the development of computationally-efficient predictive control algori...
In this paper we study the approximation of a distributed optimal control problem for linear parabol...
Abstract — We present a framework to solve an optimal control problem for parabolic partial differen...
This monograph presents a technique, developed by the author, to design asymptotically exponentially...
Abstract—Nonlinear Model Predictive Control (NMPC), generally based on nonlinear state space models,...
We provide an introduction to proper orthogonal decomposition (POD) model order reduction with focus...
Stabilization of the nonlinear Korteweg-de Vries (KdV) equation on a bounded interval by model predi...
In this article a stabilizing feedback control is computed for a semilinear parabolic partial differ...
In this article a stabilizing feedback control is computed for a semilinear parabolic partial differ...
An optimal control problem governed by a semilinear heat equation is solved using a globalized inexa...
Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal cont...
The topic of this thesis is the theoretical and numerical research of optimal control problems for u...
In this paper we study the approximation of an optimal control problem for linear parabolic PDEs wit...
We consider the following problem of error estimation for the optimal control of nonlinear...
In this paper we use a reference trajectory computed by a model predictive method to shrink the comp...
Abstract—This work focuses on the development of computationally-efficient predictive control algori...
In this paper we study the approximation of a distributed optimal control problem for linear parabol...
Abstract — We present a framework to solve an optimal control problem for parabolic partial differen...
This monograph presents a technique, developed by the author, to design asymptotically exponentially...
Abstract—Nonlinear Model Predictive Control (NMPC), generally based on nonlinear state space models,...
We provide an introduction to proper orthogonal decomposition (POD) model order reduction with focus...
Stabilization of the nonlinear Korteweg-de Vries (KdV) equation on a bounded interval by model predi...