Methods and Algorithms in Control

HEAD

PHD DELEGATE

The MAC team works in the domain of automatic control: analysis and synthesis of control laws, estimation of state or parameters in a wide variety of systems.

Main Research Topics

Control Theory in the MAC team.

Presentation

The MAC team topics of interest in system and control theory

Head

Lucie
Baudouin

Scientific executive

Yassine
Ariba

Nicolas
Augier

Germain
Garcia

Frédéric
Gouaisbaut

Christophe
Louembet

Vincent
Mahout

Dmitry
Peaucelle

Isabelle
Queinnec

Aneel
Tanwani

Sophie
Tarbouriech

Jesus-Pablo
Toledo-Zucco

Luca
Zaccarian

Postdoctoral

Zhijian
Hu

Nicola
Zaupa

Samuele
Zoboli

PhD

Sara
Callegari

Saroj Prasad
Chhatoi

Pierre
Franck

Falak
Zentout

Intern

Gabriel
Marty

Marco
Sterlini

Arthur
Thomas

PhD guest

Christyan
Lisboa

Latest publications

2024

Journal articles

Joseph Breeden, Luca Zaccarian, Dimitra Panagou. Robust Safety-Critical Control for Systems With Sporadic Measurements and Dwell Time Constraints. IEEE Control Systems Letters, 2024, 8, pp.1415 - 1420. ⟨10.1109/LCSYS.2024.3410631⟩. ⟨hal-04605927⟩

Nicolas Augier, Didier Henrion, Milan Korda, Victor Magron. Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations. ESAIM: Control, Optimisation and Calculus of Variations, 2024, 30, pp.63. ⟨10.1051/cocv/2024053⟩. ⟨hal-04694171v2⟩

Carla de Souza, Sophie Tarbouriech, Isabelle Queinnec, Antoine Girard. Nonstandard anti-windup approach for event-triggered control purpose. Systems and Control Letters, 2024, 185, pp.105715. ⟨10.1016/j.sysconle.2024.105715⟩. ⟨hal-04378600⟩

Benoît Bonnet-Weill, Hélène Frankowska. Carathéodory Theory and A Priori Estimates for Continuity Inclusions in the Space of Probability Measures. Nonlinear Analysis: Theory, Methods and Applications, 2024, 247, pp.113595. ⟨10.1016/j.na.2024.113595⟩. ⟨hal-03969118v2⟩

Yohei Hosoe, Yuki Michitani, Dimitri Peaucelle, Tomomichi Hagiwara. Stochastic Gain-Scheduled Control of Discrete-Time Systems Characterized by Random Polytopes. IEEE Control Systems Letters, 2024, 8, pp.229 - 234. ⟨10.1109/LCSYS.2024.3366179⟩. ⟨hal-04448570⟩

Simone Mariano, Riccardo Bertollo, Romain Postoyan, Luca Zaccarian. Hybrid coupling rules for leaderless heterogeneous oscillators: Uniform global asymptotic and finite-time synchronization. Automatica, 2024, 159, pp.111324. ⟨10.1016/j.automatica.2023.111324⟩. ⟨hal-04253604⟩

Nicola Zaupa, Giulia Giordano, Isabelle Queinnec, Sophie Tarbouriech, Luca Zaccarian. Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections. European Journal of Control, 2024, 80 (Part B), pp.101099. ⟨10.1016/j.ejcon.2024.101099⟩. ⟨hal-04359774v2⟩

Loïc Michel, Caroline Braud, Jean-Pierre Barbot, Franck Plestan, Dimitri Peaucelle, et al.. Some comments on experimental results of three lift controllers for a wind turbine blade section using an active flow control. Wind Energy Science, In press, ⟨10.5194/wes-2024-15⟩. ⟨hal-04457382⟩

Florent Koudohode, Nicolás Espitia, Miroslav Krstic. Event-triggered boundary control of an unstable reaction diffusion PDE with input delay. Systems and Control Letters, 2024, 186. ⟨hal-04304378⟩

Alessandro Bosso, Ilario Azzollini, Simone Baldi, Luca Zaccarian. Adaptive Hybrid Control for Robust Global Phase Synchronization of Kuramoto Oscillators. IEEE Transactions on Automatic Control, 2024, pp.1-15. ⟨10.1109/TAC.2024.3403692⟩. ⟨hal-04776121⟩

Benoît Bonnet-Weill, Hélène Frankowska. On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces. SIAM Journal on Mathematical Analysis, 2024, 56 (3), pp.2863-2914. ⟨10.1137/23M1560410⟩. ⟨hal-04082985v2⟩

Mattia Giaccagli, Samuele Zoboli, Daniele Astolfi, Vincent Andrieu, Giacomo Casadei. Synchronization in networks of nonlinear systems: Contraction analysis via Riemannian metrics and deep-learning for feedback estimation. IEEE Transactions on Automatic Control, 2024, 69 (11), pp.8041-8048. ⟨10.1109/TAC.2024.3407015⟩. ⟨hal-03801100v3⟩

Santiago Pantano Calderón, Sophie Tarbouriech, Luca Zaccarian. Plant-Order Saturated Output-Feedback Regional Controller Synthesis With Sign-Indefinite Quadratic Forms. IEEE Control Systems Letters, 2024, 8, pp.562-567. ⟨10.1109/LCSYS.2024.3397693⟩. ⟨hal-04652436⟩

Y. Pechaud, N. Derlon, Isabelle Queinnec, Y. Bessiere, E. Paul. Modelling biofilm development: the importance of considering the link between EPS distribution, detachment mechanisms and physical properties. Water Research, 2024, 250, pp.120985. ⟨10.1016/j.watres.2023.120985⟩. ⟨hal-04334703⟩

Zhijian Hu, Kun Zhang, Rong Su, Ruiping Wang. Robust Cooperative Load Frequency Control for Enhancing Wind Energy Integration in Multi-Area Power Systems. IEEE Transactions on Automation Science and Engineering, In press, pp.1 - 11. ⟨10.1109/tase.2024.3367030⟩. ⟨hal-04636495⟩

Riccardo Bertollo, Michael Schwegel, Andreas Kugi, Luca Zaccarian. Integrate-and-Reset Feedback and Feedforward for a Solenoid With Unknown Parameters. IEEE Control Systems Letters, 2024, 8, pp.1511-1516. ⟨10.1109/LCSYS.2024.3413360⟩. ⟨hal-04776122⟩

Kai Zhang, Meilin Li, Zhijian Hu, Xuefei Yang, Kang-Kang Zhang. Periodic Event-Triggered and Self-Triggered Control of Spacecraft Rendezvous System With Input Delay. IEEE Transactions on Automation Science and Engineering, 2024, pp.1-9. ⟨10.1109/TASE.2024.3439009⟩. ⟨hal-04675551⟩

Andrea Mattioni, Christophe Prieur, Sophie Tarbouriech. Control design for beam stabilization with self-sensing piezoelectric actuators: managing presence and absence of hysteresis. Mathematics of Control, Signals, and Systems, 2024, 36, pp.979-1008. ⟨10.1007/s00498-024-00393-6⟩. ⟨hal-04659186⟩

Zhijian Hu, Qingyang Li, Pu Zhang, Ruiping Wang, Kai Zhang. A Novel Handling Method to Intermittent Feedback in Load Frequency Regulation for Renewable Energy-Dominated Microgrids. IEEE Transactions on Instrumentation and Measurement, 2024, 73, ⟨10.1109/TIM.2024.3457958⟩. ⟨hal-04732942⟩

Francesco Ferrante, Sophie Tarbouriech. Sampled-data feedback control design in the presence of quantized actuators. Nonlinear Analysis: Hybrid Systems, 2024, 54, pp.101530. ⟨10.1016/j.nahs.2024.101530⟩. ⟨hal-04687532⟩

Andrea Cristofaro, Luca Zaccarian. Adaptive Pseudoinverse Observers for Output Redundant Discrete-Time Linear Systems. IEEE Transactions on Automatic Control, 2024, 69 (11), pp.7403-7417. ⟨10.1109/TAC.2024.3388129⟩. ⟨hal-04776114⟩

Philipp Braun, Abhishek Bhardwaj, Mirko Brentari, Luca Zaccarian, Matteo Saveriano. Static anti-windup with shifted equilibria applied to a Segway-like vehicle. Automatica, 2024, 169, pp.111830. ⟨10.1016/j.automatica.2024.111830⟩. ⟨hal-04776120⟩

Carolina Albea, Mathias Serieye, Alexandre Seuret, Marc Jungers. Stabilization of aperiodic sampled-data switched affine systems to hybrid limit cycles. European Journal of Control, 2024, 79, pp.101094. ⟨10.1016/j.ejcon.2024.101094⟩. ⟨hal-04814278⟩

Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida. Necessary stability conditions for reaction-diffusion-ODE systems. IEEE Transactions on Automatic Control, 2024, 69 (11), pp.1-8. ⟨10.1109/TAC.2024.3407818⟩. ⟨hal-04008999⟩

Simone Mariano, Romain Postoyan, Luca Zaccarian. Finite-time stability properties of Lur'e systems with piecewise continuous nonlinearities. IEEE Transactions on Automatic Control, 2024, 69 (9), pp.6325-6332. ⟨10.1109/TAC.2024.3383278⟩. ⟨hal-04530198⟩

Mathieu Bajodek, Alexandre Seuret, Frédéric Gouaisbaut. On the necessity of sufficient LMI conditions for time-delay systems arising from Legendre approximation. Automatica, 2024, 159, pp.111322. ⟨10.1016/j.automatica.2023.111322⟩. ⟨hal-03435008v3⟩

Philipp Braun, Giulia Giordano, Christopher M. Kellett, Iman Shames, Luca Zaccarian. Optimizing shifted stabilizers with asymmetric input saturation. IEEE Transactions on Automatic Control, In press, ⟨10.1109/TAC.2024.3436728⟩. ⟨hal-03586545v2⟩

Renjie Ma, Zhijian Hu. Deep Neural Network-Controlled Safety-Critical Systems With Uncertainty Resilience. IEEE Internet of Things Journal, 2024, 11 (13), pp.24061 - 24072. ⟨10.1109/jiot.2024.3389458⟩. ⟨hal-04555816⟩

Shenyu Liu, Aneel Tanwani. Impulsive switching signals with functional inequalities: Stability analysis using hybrid systems framework. Automatica, 2024, 171, pp.111928. ⟨10.1016/j.automatica.2024.111928⟩. ⟨hal-04707528⟩

Felix Agner, Jonas Hansson, Pauline Kergus, Anders Rantzer, Sophie Tarbouriech, et al.. Decentralized PI-control and Anti-windup in Resource Sharing Networks. European Journal of Control, 2024, pp.101049. ⟨10.1016/j.ejcon.2024.101049⟩. ⟨hal-04270492⟩

Riccardo Ballaben, Philipp Braun, Luca Zaccarian. Lyapunov-Based Avoidance Controllers With Stabilizing Feedback. IEEE Control Systems Letters, 2024, 8, pp.862-867. ⟨10.1109/LCSYS.2024.3404770⟩. ⟨hal-04776123⟩

Books

Romain Postoyan, Paolo Frasca, Elena Panteley, Luca Zaccarian (Dir.). Hybrid and networked dynamical systems. Springer Nature Switzerland, 493, pp.XVII, 328, 2024, Lecture Notes in Control and Information Sciences, 978-3-031-49554-0. ⟨10.1007/978-3-031-49555-7⟩. ⟨hal-04628500⟩

Vincent Mahout, Thierry Rocacher, Guillaume Auriol. Programmation des systèmes embarqués. ISTE Group, 312 p., 2024, 9781836120049. ⟨hal-04717102⟩

Book sections

Sophie Tarbouriech, Carla de Souza, Antoine Girard. Layers Update of Neural Network Control via Event-Triggering Mechanism. Hybrid and Networked Dynamical Systems, 493, Springer Nature Switzerland, pp.253-272, 2024, Lecture Notes in Control and Information Sciences, 978-3-031-49555-7. ⟨10.1007/978-3-031-49555-7_11⟩. ⟨hal-04527093⟩

Sophie Tarbouriech, Christophe Prieur, Isabelle Queinnec, Luca Zaccarian, Germain Garcia. Control of Uncertain Nonlinear Fully Linearizable Systems. Hybrid and Networked Dynamical Systems, 493, Springer Nature Switzerland, pp.179-197, 2024, Lecture Notes in Control and Information Sciences, ⟨10.1007/978-3-031-49555-7_8⟩. ⟨hal-04776124⟩

Thiago Alves Lima, Sophie Tarbouriech. Dynamic allocation function design in the presence of magnitude saturating inputs. Proceedings of 2022 AWM Research Symposium, In press. ⟨hal-04643120⟩

Conference papers

Alexandre Seuret, Rafael Vazquez, Luca Zaccarian. A Hybrid Dynamical System Approach to the Impulsive Control of Spacecraft Rendezvous. 2024 European Control Conference (ECC), Jun 2024, Stockholm, Sweden. pp.1479-1484, ⟨10.23919/ECC64448.2024.10590979⟩. ⟨hal-04676163⟩

Santiago Pantano-Calderón, Sophie Tarbouriech, Luca Zaccarian. Global Exponential Saturated Output Feedback Design With Sign-Indefinite Quadratic Forms. European Control Conference (ECC 2024), Jun 2024, Stockholm, Sweden. pp.980-985, ⟨10.23919/ECC64448.2024.10591218⟩. ⟨hal-04672584⟩

Samuele Zoboli, Andreu Cecilia. k-contraction analysis for discrete-time systems. 4th IFAC Conference of Modelling, Identification and Control of Nonlinear Systems, Sep 2024, Lyon (FR), France. ⟨10.13039/501100011033⟩. ⟨hal-04643933⟩

Florian Sansou, Gautier Hattenberger, Luca Zaccarian, Fabrice Demourant, Thomas Loquen. Modelling and Hovering Stabilisation of a Free-Rotating Wing UAV. 2024 International Conference on Unmanned Aircraft Systems (ICUAS), Jun 2024, La Canée (Crete), Greece. pp.779-785, ⟨10.1109/ICUAS60882.2024.10556832⟩. ⟨hal-04619809⟩

Aneel Tanwani, Olga Yufereva. Convergence Analysis of Ensemble Filters for Linear Stochastic Systems with Poisson-Sampled Observations. International Symposium on Mathematical Theory of Networks and Systems, Aug 2024, Cambridge, United Kingdom. ⟨hal-04616321⟩

Mattia Giaccagli, Marc Jungers, Sophie Tarbouriech. Some LMIs for the design of dynamic output feedback contractive controllers for a class of nonlinear systems. 4th IFAC Conference of Modelling, Identification and Control of Nonlinear Systems, MICNON 2024, Sep 2024, Lyon, France. pp.73-78, ⟨https://doi.org/10.1016/j.ifacol.2024.10.145⟩. ⟨hal-04692897⟩

Nicola Zaupa, Luca Zaccarian, Sophie Tarbouriech, Isabelle Queinnec, Giulia Giordano. Controlling identical linear multi-agent systems over directed graphs. 2023 IEEE 62st Conference on Decision and Control (CDC), IEEE, Dec 2023, Singapore, Singapore. pp.7395-7400, ⟨10.1109/CDC49753.2023.10383830⟩. ⟨hal-04357943⟩

Manon Doré, Yassine Ariba, Oswaldo Lopez-Santos, Germain Garcia. Revisiting the argmin direct control for the Cascaded H-Bridge Inverter. Conference on Control Technology and Applications CCTA 2024, Aug 2024, Newcastel upon Tyne, United Kingdom. ⟨10.1109/CCTA60707.2024.10666589⟩. ⟨hal-04627060v2⟩

Saroj Prasad Chhatoi, Aneel Tanwani, Didier Henrion. Optimal Control of Nonsmooth Dynamical Systems using Measure Relaxations. IEEE Conference on Decision and Control, IEEE, Dec 2024, Milan (Italie), Italy. ⟨hal-04701838⟩

Dimitri Peaucelle, Yoshio Ebihara, Yohei Hosoe. About an alternative S-variable condition for state-feedback design. European Control Conference, EUCA, Jun 2024, Stockholm, Sweden. ⟨10.23919/ECC64448.2024.10591320⟩. ⟨hal-04266433⟩

Yoshio Ebihara, Xin Dai, Victor Magron, Dimitri Peaucelle, Sophie Tarbouriech. Local Lipschitz Constant Computation of ReLU-FNNs: Upper Bound Computation with Exactness Verification. European Control Conference (ECC 2024), Jun 2024, Stockholm, Sweden. ⟨10.23919/ECC64448.2024.10590974⟩. ⟨hal-04247204⟩

F. Porcari, V. Breschi, Luca Zaccarian, S. Formentin. Data-driven control of input saturated systems: a LMI-based approach. In 20th IFAC Symposium on System Identification, Jul 2024, Boston (MA), United States. pp.205-210, ⟨10.1016/j.ifacol.2024.08.529⟩. ⟨hal-04776126⟩

Thalita Nazaré, Isabelle Queinnec, Erivelton Nepomuceno. Exploring Control Co-Design's Versatility in System Optimisation: A Case Study of DC Motors. 32nd Mediterranean Conference on Control and Automation (MED 2024), IEEE, Jun 2024, Chania, Crete, Greece. ⟨10.1109/MED61351.2024.10566157⟩. ⟨hal-04654734⟩

Manon Doré, Nicola Zaupa. Control of the RMS Output Current in Series Resonant Converters. 4th IFAC Conference of Modelling, Identification and Control of nonlinear systems (MICNON 2024), Sep 2024, Lyon, France. pp.132-137, ⟨10.1016/j.ifacol.2024.10.159⟩. ⟨hal-04627710v2⟩

International

Editors / Associate Editors

ECC CEB : L Zaccarian (membres) D Peaucelle (IPC Chair ECC20)
EJC : L Zaccarian (EA)
ESAIM-COCV : L Baudouin (EA)
IEEE-CSS-CEB : G Garcia, D Peaucelle, I Queinnec, A Tanwani (membres)
IEEE-LCSS : S Tarbouriech (Senior Editor)
IEEE-TAC : I Queinnec (EA)
IFAC-Automatica : A Tanwani, L Zaccarian (EA), S Tarbouriech (Senior Editor & Deputy Chief Editor)
IFAC-POL : D Peaucelle (Deputy Editor-in-Chief)
SICON : S Tarbouriech (EA)

Learned Societies

IEEE-CSS TC CACSD : D Peaucelle (member)
IEEE-CSS TC on Hybrid Systems : S Tarbouriech, L Zaccarian (member)
IEEE-CSS BoG : L Zaccarian (member)
IEEE-CSS TC on Nonlinear Systems and Control : L Zaccarian (member)
IEEE-CSS TC SU : D Peaucelle (member)
IEEE-CSS : L Zaccarian (Electronic Information Committee)
IFAC Policy Committee : D Peaucelle (member)
IFAC TC Biosystems and Bioprocesses : I Queinnec (member)
IFAC TC Distributed Parameter Systems : L Baudouin (member)
IFAC TC Modelling and Control of Enviromental Systems : I Queinnec (member)
IFAC TC Nonlinear Control Systems : A Tanwani, S Tarbouriech, L Zaccarian (members)
IFAC TC Robust Control : D Peaucelle, S Tarbouriech (members)

National

SOFTWARE

SATAW-Tool - Matlab Toolbox for analysis and controller design in presence of saturation elements in the control loop. LMI based functionalities are provided, where sector conditions are used for the saturation modeling. It is entirely written in Matlab and uses YALMIP for parsing LMIs, the optimization problems being solved using any SDP free solvers supported by YALMIP ou using LMILAB (not recommended for relatively high dimension problems). Can be freely downloaded and used. Developed by Isabelle Queinnec and Sophie Tarbouriech
R-RoMulOC - Randomized and robust multi-objective control toolbox for Matlab. Modeling and robustness analysis based on LMI techniques. Works with parser YALMIP, all control problems are solved by SDP solvers such as SeDuMi, CSDP, DSDP, SDPT3... Can be freely downloaded and used. Main developer: Dimitri Peaucelle.
HIFOO - A Matlab package for fixed-order controller design and H-infinity optimization, using a hybrid algorithm for nonsmooth, nonconvex optimization based on quasi-Newton updating, bundling and gradient sampling. Can be freely downloaded and used. Main developer: Michael L. Overton (Courant Institute, NY).

HELICOPTER BENCHMARK

The Helicopter setup consists of a base on which a long arm is mounted. The arm carries the helicopter body on one end and a counterweight on the other end. The arm can tilt on an elevation axis as well as swivel on a vertical (travel) axis. Quadrature optical encoders mounted on these axes measure the elevation and travel of the arm. The helicopter body, which is mounted at the end of the arm, is free to pitch about the pitch axis. The pitch angle is measured via a third encoder. Two motors with propellers mounted on the helicopter body can generate a force proportional to the voltage applied to them. The force, generated by the propellers, causes the helicopter body to lift off the ground and/or to rotate about the pitch axis. All electrical signals to and from the arm are transmitted via a slipping with eight contacts. The system is also equipped with a motorized lead screw that can drive a mass along the main arm in order to impose known controllable disturbances (the so-called Active Disturbance Option, ADO).