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Você está em: Start > Project: PTDC/EEI-AUT/2933/2014 - POCI-01-0145-FEDER-016858

Project: PTDC/EEI-AUT/2933/2014 - POCI-01-0145-FEDER-016858

Project name: TOCCATA - Theory, Applications and Numerics of Optimal Control
Project code: PTDC/EEI-AUT/2933/2014 - POCI-01-0145-FEDER-016858
Main Objective: Reforçar a investigação, o desenvolvimento tecnológico e a inovação
Intervention Region: Norte, Centro
Proposing institution/Lead promoter/Coordinating entity: Faculdade de Engenharia da Universidade do Porto
Partner(s)/Co-promoter(s)/Participating institution(s): Faculdade de Economia da Universidade do Porto ; Universidade de Aveiro
Date of approval: 2016-04-08
Start date: 2016-06-01
Completion date: 2019-10-15
Eligible Cost of the Project
Total Eligible Cost: 199.186,00 EUR
Eligible Cost in the University of Porto: 165.730,00 EUR
Faculdade de Engenharia da Universidade do Porto: 165.730,00 EUR
Total Financial Support
União Europeia - FEDER: 169.308,10 EUR
Orçamento de Estado: 29.877,90 EUR
Financial Support to the University of Porto
Total of the University of Porto: 165.730,00 EUR
União Europeia | União Europeia - FEDER | Faculdade de Engenharia da Universidade do Porto: 140.870,50 EUR
Nacional/Regional | Orçamento de Estado | Faculdade de Engenharia da Universidade do Porto: 24.859,50 EUR
Objectives, activities and expected/achieved results
Objetivos e Atividades The main objective of the TOCCATA is to bring together in one project the three different axes of optimal control (theory, applications and numerical methods) and to explore its synergies to contribute for the advances of the state of the art. At the same time, we hope to contribute to the creation of a vibrant, productive and efficient optimal control research community in Portugal, to attract young researchers, to increase awareness of the benefits of optimal control areas on different as biomedicine and economics and to deliver value to the society.
Activity: besides the scientific outcome of this project, the research team has promoted and supported the organization of the yearly conferences EPCO (encontro português de controlo ótimo), and organized the international conference NHOC2017. Two special issues in DCDS and SVA were done. Two national projects, UPWIND and TOCHAIR came up as a consequence of the research done in this project.
Resultados Esperados/Atingidos Applications of Distributed Optimal Control Problem with Allocation of a Common Resource, new and stronger conditions for normality new optimality conditions for optimal control problems (sweeping systems, hybrid, nonregular mixed constrained and delayed), strengthened form of maximum principle condition.
New numerical methods for problems involving sweeping systems, multiobjective problems, singular optimal problems with singular arcs, new results on mesh refinement and adaptive mesh refinement, indirect method to solve Zero-sum differential game problems, method based on bilevel optimization and optimal control reformulation for solution of Zero-sum differential game problems.
A long list of applied problems were considered, formulated, studied and solved numerically. Numerical solutions validated or partially validated using numerical implementation of optimality conditions.

More work than planned was done. However, some new verifiable conditions not successful yet.
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