Search results for "Optimal control"

Active Single-Blade Installation Using Tugger Line Tension Control and Optimal Control Allocation

2020

On the methods of nonsmooth optimization

2005

In this paper we shall give a short derivation of the most promising methods in nonsmooth optimization, namely bundle methods. We introduce the basic bundle idea due to Lemarechal and several modifications by Kiwiel, Schramm and Zowe. To the end we shall give some numerical results comparing the efficience of these methods. As test problems we have used well-known test problems from litterature and in addition we shall give some contributions to nonsmooth optimal control problems.

Evaluation of Hemodynamic Parameters for Adaptive Control of the Artificial Heart by Simulation of the Vascular System

1984

Abstract A nonlinear dynamic mathematical model of the cardiovascular system is outlined, which is employable to analyse the hemodynamic system behaviour under normal as well as under pathological conditions. By modifying this model, assuming that cardiac output is constant at a preset level (which is in accordance with most of the total artificial heart systems, since their pumps output is preselected with fixed driving parameters), the hemodynamic behaviour of a circulation system with an artificial heart was simulated. Comparing the simulation results with those obtained from total artificial heart experiments, a good agreement in right atrial and aortic pressure under exercise condition…

Changements de stratégie temporelle durant des tâches motrices complexes chez des sujets âgés sains

2017

International audience; Cette étude a permis d’analyser des points temporels clefs de la réalisation de mouvements impliquant l’ensemble du corps (Whole Body Reaching movements - WBR). Lors de ce mouvement, le sujet déplace son Centre de Masse (CdM) vers l’avant pour l’atteindre une cible. Ceci implique une inclinaison du tronc créant des modifications posturales et un risque de chute. Ces différentes considérations nous ont poussées à étudier une population de sujets âgés (SA) en comparaison à des sujets jeunes (SJ). Nous avons analysé des points stratégiques au cours de la tâche, dont deux plus particulièrement. La décomposition axiale de la vitesse du CdM en deux composantes (Verticale-V…

Crowd-Averse Cyber-Physical Systems: The Paradigm of Robust Mean-Field Games

2016

For a networked controlled system, we illustrate the paradigm of robust mean-field games. This is a modeling framework at the interface of differential game theory, mathematical physics, and $H_{\infty}$ - optimal control that tries to capture the mutual influence between a crowd and its individuals. First, we establish a mean-field system for such games including the effects of adversarial disturbances. Second, we identify the optimal response of the individuals for a given population behavior. Third, we provide an analysis of equilibria and their stability.

Optimal Dynamics of Functionality Development in Open Innovation

2009

Abstract Sustainable functionality development has become crucial option for firm's survival in a new paradigm confronting a post-information society. This can be realized by earlier emergence of functionality development. In this context, effective utilization of external innovation resources leads to follower substitution for leader in open innovation. This substitution induces advancements of innovative goods by substituting gratification of their consumption for resistance to them. Thus, optimization of utmost gratification of consumption under certain investment would be crucial for firm strategy. Optimal functionality development dynamics is analyzed in this paper by integrating produ…

Nonsmooth Penalty Techniques in Control of the Continuous Casting Process

1991

We introduce a mathematical model which is used to simulate the continuous casting process and to control the secondary cooling water sprays. The main object is to minimize the defects in the final products. The problem is formulated as an optimal control problem where the cost function is constructed according to certain metallurgical criteria and constraints. The temperature distribution of the strand is calculated by solving a nonlinear heat equation with free boundaries between solid and liquid phases.

Resonance of minimizers forn-level quantum systems with an arbitrary cost

2004

We consider an optimal control problem describing a laser-induced population transfer on a n-level quantum system. For a convex cost depending only on the moduli of controls ( i.e. the lasers intensities), we prove that there always exists a minimizer in resonance. This permits to justify some strategies used in experimental physics. It is also quite important because it permits to reduce remarkably the complexity of the problem (and extend some of our previous results for n=2 and n=3): instead of looking for minimizers on the sphere one is reduced to look just for minimizers on the sphere . Moreover, for the reduced problem, we investigate on the question of existence of strict abnormal mi…

Discretization estimates for an elliptic control problem

1998

An optimal control problem governed by an elliptic equation written in variational form in an abstract functional framework is considered. The control is subject to restrictions. The optimality conditions are established and the Ritz-Galerkin discretization is introduced. If the error estimate corresponding to the elliptic equation is given as a function like where h is the discretization parameter and is an integer, then the error estimates for the optimal control, for the optimal state and for the optimal value are obtained. These results are applied first for a Two-Point BVP and next for a 2D/3D elliptic problem as state equation. Next a spectral method is used in the discretization proc…

Sustainable Management of Tourist Flow Networks: A Mean Field Model

2023

In this article, we propose a mean field game approach for modeling the flows of excursionists within a network of tourist attractions. We prove the existence of an equilibrium within the network using a balance ordinary differential equation together with optimality conditions in terms of the value function. We also propose a bi-level formulation of the problem where we aim at achieving a sustainable-oriented control strategy in the upper level and at maximizing excursionists’ satisfaction in the lower level. Our proposed model may provide an effective management tool for local authorities who deal with the challenging problem of finding an optimal control policy to the often conflicting o…