Emmanuel Trelat – författare

Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control

The book consists of the proceedings of the workshop "New Trends and Challenges in Optimization Theory Applied to Space Engineering", held in l'Aquila (Italy), and organized by the Gran Sasso Science Institute (GSSI), on December 13-15, 2023. The main purpose of the book is to provide an overview of the most important current topics concerning optimal control in space. Optimal control theory is an exciting research area, where both new theoretical approaches and application problems come into play. The “New Trends and Challenges in Optimization Theory Applied to Space Engineering” conference brought together influential academic researchers and experts from industry and government to build bridges between their respective groups. The topics of the conference panels are selected to include the most advanced areas of interest for space applications. In line with the mission of the Gran Sasso Tech Foundation, interdisciplinary dialogue is promoted between the sciences, and different experts are encouraged to work together to identify new problems and generate new solutions. Covering a wide range of space-related topics and challenges, this conference aims to lay the foundation for a long-term collaboration between different groups of experts. A broad overview of control theory applications in space is presented, highlighting the most recent aspects, both from a theoretical and practical point of view, in particular on the following topics: - manifold dynamics, trajectory design and related control aspects;- AI techniques in guidance control problems and space missions;- optimization techniques for constellations with applications to space operations;- multi-stage control problems for launch and landing problems;- optimal control problems in the presence of uncertain parameters;- improved sufficient and necessary conditions in optimal control problems for space problems. New methods, specific mathematical models, ad hoc algorithms and heuristics, innovative mission scenarios, and advances in classical control theory are presented.

This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Le but de ce livre est de présenter les développements récents du contrôle géométrique orienté vers la commande (notamment optimale) des véhicules spatiaux. Il est principalement destiné aux étudiants de 3e cycle et aux chercheurs, et son contenu a servi de base à une série de cours de contrôle et d'automatique enseignés à des étudiants de 3e cycle. Il s'appuie sur des projets de recherche avec l'ESTEC et le CNES, sur le contrôle d'attitude d'un satellite, le problème de transfert orbital en temps minimal, et le problème de rentrée atmosphérique d'une navette spatiale. Une première partie est consacrée à une introduction à la mécanique céleste, et la seconde au contrôle des véhicules spatiaux. Un dernier chapitre concerne les méthodes numériques dites indirectes, développées à partir des études des auteurs: méthode de tir et algorithmes de calcul des points conjugués.

PDE constrained optimization problems are frequently encountered in many academic or industrial contexts. This book shows how to attack and solve a given PDE constrained optimization problem thanks to the efficient and expert tool FreeFEM.This book is intended for students and researchers aiming at learning how to efficiently solve, with the software FreeFEM, optimization problems under partial differential equations (PDE) constraints. The readers are expected to have a basic knowledge in the analysis and numerical solving of partial differential equations with finite element methods, in optimization, in algorithmics and numerical implementation.All the codes are available at FreeFEM’s github and can hopefully serve as templates for the users.