Section: Partnerships and Cooperations
European Initiatives
Collaborations in European Programs, except FP7 & H2020
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Other partners: GIPSA-Lab and LAAS France, Ancona University Italy, Czech Technical University in Prague Czech Republic, Kent University Great-Britain, KTH Stockholm Sweden and KU Leuven Belgium.
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Abstract: the aim of this GDRI is to bring together the main European teams which work in the fiels of Delay systems. This network meets once a year.
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Project title: Robust Distributed Model Predictive Control of Medium- and Large- Scale Systems
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Coordinator: Cristina Stoica (French leader), Fernando Lobo Perreira (Portuguese leader)
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Project title: Adaptive and predictive control of bioprocesses (modelling, identification and control of interconnected bioprocesses)
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Coordinator: Sihem Tebbani (French leader), Dan Selisteanu (Romanain leader)
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Project title: Computer Algebra, Symbolic Computation, and Automatic Control
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Coordinator: Alban Quadrat (French leader), Maris Tõnso (Estonian leader)
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Other partners: Institute of Cybernetics, University of Tallinn
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Abstract: The CASCAC project is at the interfaces of control theory, computer algebra and software engineering. The goals of the project are: 1. Develop new theoretical results on nonlinear control systems defined by functional equations (e.g., ordinary differential equations, partial differential equations, differential time-delay equations, partial difference equations). 2. Implement them on dedicated softwares developed in the computer algebra system Mathematica. In particular, Mathematica versions of the OreModules and OreMorphisms packages will be developed. 3. Develop an interface between the C library BLAD (http://www.lifl.fr/~boulier/pmwiki/pmwiki.php?n=Main.BLAD ) dedicated to differential algebra techniques and Mathematica. This interface will allow one to have access to differential elimination techniques in Mathematica and to use them in decision methods for nonlinear control theory. 4. Co-supervise the Master thesis of Kristina Halturina with Prof. Ülle Kotta on constructive aspects of differential flatness and its applications to control theory (e.g., tracking, motion planning).
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Project title: Set theoretic analysis of switched and time delay systems with application to fault tolerant control systems
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Other partners: Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Universita' degli Studi di Udine, Italy
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Abstract: The present Galileo project intends to initiate a collaborative research relationship based on the common interest of the French and Italian teams in the set-theoretic analysis of switched and delay time dynamics. On a broad perspective, the results on these topics can be extended to different aspects of the control design (as fault tolerance, constraints handling or robustness with respect to communication uncertainties). The scientific objective is to address two main open problems : i) the construction of (positive) invariant sets for switched dynamical systems; ii) the definition of the appropriate concepts of set invariance for delay time systems and their algorithmic construction.
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Project title: Robust Distributed Model Predictive Control of Medium- and Large- Scale Systems
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Coordinator: Sorin Olaru (French leader), Alexandra Grancharova (Bulgarian leader)
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Abstract: The project intends to address the control design of large scale dynamical systems with an emphasis on distributed predictive control strategies. There are two points of view with respect to the control synthesis in this framework: a. avoid the use of a global prediction model in the receding horizon optimal control of the subsystems and privilege the use of a coordination level in the decision process; b. consider the distributed synthesis for a network of discrete-time constrained linear systems without central coordinator. In the present project we intend to contribute to both of these directions by: a. Prediction of the interactions in between subsystems in a decomposition-coordination scheme. This can be done by imposing a reduced set of constraints for the MPC problems at the lower levels. b. With respect to the MPC design in the absence of coordination one of the issues will be the definition of appropriate terminal sets, ensuring invariance properties or at least recursive feasibility for the global functioning. We will investigate the construction of terminal set for a stabilizing centralized MPC decomposable in the form of a cross product of sets in each subsystem state space. An interesting idea on this direction was presented recently by the participants in this project.
Collaborations with Major European Organizations
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Partner 1: University of L'Aquila, Department of Electrical and Information Engineering (Italy)
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Sujet : study of nonlinear systems with delay, (notably differential equations interconnected with difference equations) via Lyapunov-Krasovskii functionals.
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Mathematical systems theory, control theory, symbolic computation
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Control of linear and nonlinear systems with delays, medical applications
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Stability analysis of nonlinear Partial Differential Equations