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Giorgio Valmorbida
Google Scholar Profile   Researcher ID   ORCID   Mendeley
Associate Professor, L2S, CentraleSupelec, Gif-sur-Yvette, France
Former Post-Doctoral Research Assistant, Control Group, Department of Engineering Science, Oxford
Former Fulford Junior Research Fellow, Somerville College, Oxford


Background

I am currently an Associate Professor the at the L2S, CentraleSupelec, Gif-sur-Yvette, France. I completed my PhD in 2010 at LAAS/CNRS at Toulouse, funded by the Programme Alban. My research was carried out under the supervision of DR. Sophie Tarbouriech and Prof. Germain Garcia in the group MAC (Méthodes et Algorithmes en Commande). My thesis focused on developing methods based on convex optimization and polynomial programming for the stability analysis and controller synthesis of polynomial systems and systems with input constraints. From 2010 to 2012 I was Assegnista di Ricerca' with the Dipartimento di Ingegneria di Sistemi e Produzione at the University of Rome Tor Vergata under the supervision of Prof. Luca Zaccarian and Prof. Sergio Galeani. From 2013 to 2015 I was Post-Doctoral Research Assistant at the Control Group, Engineering Department, University of Oxford, Oxford, UK, under the supervision of Prof. Antonis Papachristodoulou. From 2013 to 2015 I was a Fulford Junior Research Fellow at Somerville College, University of Oxford, Oxford, UK.

Research Interests

  • Nonlinear systems analysis
  • Input-constrained systems and Anti-Windup design
  • Robust control
  • Hybrid Systems
  • PDE Systems
  • Convex optimization: Semidefinite Programming and Sum of Squares Programming


Collaborators

Publications

Journal papers

  1. G. Valmorbida, R. Drummond, S. Duncan. Regional Analysis of Slope Restricted Lur'e Systems. IEEE Transactions on Automatic Control ( Early Access ).
  2. T. Lathuilière, G. Valmorbida, E. Panteley. Periodic Orbits in Planar Linear Systems With Input Saturation. IEEE Control Systems Letters, v. 2(3), p. 435–440, July, 2018.
  3. R. Drummond, G. Valmorbida, S. Duncan. Generalised Absolute Stability using Lyapunov Functions with Relaxed Positivity Conditions. IEEE Control Systems Letters, v. 2(2), p. 207–212, April, 2018.
  4. M. Ahmadi, G. Valmorbida, A. Papachristodoulou. Safety verification for distributed parameter systems using barrier functionals. Systems and Control Letters, v. 108, p. 33–39, October 2017, 2017.
  5. G. Valmorbida, A. Garulli, L Zaccarian. Regional L2m Gain Analysis for Linear Saturating Systems. Automatica, v. 76, p. 164–168, 2017.
  6. G. Valmorbida, J. Anderson. Region of Attraction Estimation Using Invariant Sets and Rational Lyapunov Functions. Automatica, v. 75, p. 37–45, 2017 .
  7. G. Valmorbida, L. Zaccarian, S. Tarbouriech, I. Queinnec, A. Papachristodoulou. Nonlinear Static State Feedback for Saturated Linear Plants via a Polynomial Approach. IEEE Transactions on Automatic Control, v. 62(1), p. 469 - 474, January, 2017.
  8. M. Ahmadi, G. Valmorbida, A. Papachristodoulou. Dissipation Inequalities for the Analysis of a Class of PDEs. Automatica v. 66, p.163–171, 2016.
  9. G. Valmorbida, M. Ahmadi, A. Papachristodoulou. Stability Analysis for a Class of Partial Differential Equations via Semidefinite Programming. IEEE Transactions on Automatic Control. v. 61(6), p. 1649-1654 , June, 2016.
  10. D. Nesic, A. Teel, G. Valmorbida and L. Zaccarian. Finite Gain Lp Stability for Hybrid Dynamical Systems. Automatica (Oxford), v. 49(8), p. 2384–2396, 2013.
  11. G. Valmorbida, S. Tarbouriech and G. Garcia. Design of Polynomial Control Laws for Polynomial Systems Subject to Actuator Saturation. IEEE Transactions on Automatic Control, v. 58(7), p. 1758-1770, 2013.
  12. G. Valmorbida, S. Tarbouriech, M. Turner and G. Garcia. Anti-Windup for saturating quadratic systems. Systems and Control Letters. v. 62(5), p. 367-376, 2013.
  13. A. Garulli, A. Masi, G. Valmorbida and L. Zaccarian. Global Stability and Finite L2m-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions. IEEE Transactions on Automatic Control. v. 58(1), p. 242-246, January, 2013.
  14. G. Valmorbida, S. Tarbouriech and G. Garcia. State feedback design for input-saturating quadratic systems. Automatica (Oxford), v. 46(7), p. 1196-1202, January, 2010.
  15. G. Valmorbida, S. Tarbouriech and G. Garcia. Analyse de stabilité pour un système soumis à des saturations et avec des dynamiques négligées. Journal Européen des Systèmes Automatisés , v. 43, p. 217-239, 2009.
  16. G. Valmorbida, V. J. S. Leite and P. L. D. Peres. Condições LMI do Teorema do Ganho Pequeno Escalonado para Análise de Estabilidade de Sistemas Incertos com Atraso. Controle & Automação, v. 18, p. 447-458, 2007 (now Journal of Control, Automation and Electrical Systems).

Conference papers

  1. T. Lathuiliere, G. Valmorbida, E. V. Panteley. Limit cycles in Liénard systems with saturation.. In: 5th IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2018). Eindhoven, Netherlands.
  2. N. Michel, S. Olaru, S. Bertrand, G. Valmorbida, D. Dumur. Invariant set design for constrained linear systems with bounded disturbances. . In: 9th IFAC Symposium on Robust Control Design (ROCOND'18). Florianopolis, Brazil.
  3. N. Michel, S. Olaru, G. Valmorbida, S. Bertrand, D. Dumur. Invariant Sets for Discrete-Time Constrained Linear Systems Using Sliding Mode Approach. . In: 17th European Control Conference (ECC 2018). Limassol, Cyprus.
  4. Y. Wang, S. Olaru, G. Valmorbida, V. Puig, G. Cembrano. Robust Invariant Sets and Active Mode Detection for Discrete-time Uncertain Descriptor Systems. In: 56th Conference on Decision and Control (CDC 2017). Melbourne, Australia.
  5. A. Gahlawat, G. Valmorbida. A Semi-Definite Programming Approach to Stability Analysis of Linear Partial Differential Equations. In: 56th Conference on Decision and Control (CDC 2017). Melbourne, Australia.
  6. R. Drummond, G. Valmorbida, S. Duncan. Equivalent Circuits for Electrochemical Supercapacitor Models. In: Proceedings of the 20th World Congress of the International Federation of Automatic Control 2017, Toulouse, France.
  7. R. Drummond, G. Valmorbida, S. Duncan. Lyapunov Analysis of Nonlinear Systems with Rational Vector Field and Jacobian. In: 2016 UKACC 11th International Conference on Control (CONTROL). Belfast, UK.
  8. G. Valmorbida, R. Drummond, S. Duncan. Positivity Conditions of Lyapunov Functions for Systems with Slope Restricted Nonlinearities. In: 2016 American Control Conference (2016 ACC). Boston, USA.
  9. S. Baldi, G. Valmorbida, A. Papachristodoulou, E. B. Kosmatopolous. Online Policy Iterations for Optimal Control of Input-Saturated Systems. In: 2016 American Control Conference (2016 ACC). Boston, USA.
  10. G. Valmorbida, M. Ahmadi, A. Papachristodoulou. Convex Solutions to Integral Inequalities in Two-Dimensional Domains. In: 54th Conference on Decision and Control (CDC 2015). Osaka, Japan.
  11. M. Ahmadi, G. Valmorbida, A. Papachristodoulou. A Convex Approach to Hydrodynamic Analysis. In: 54th Conference on Decision and Control (CDC 2015). Osaka, Japan.
  12. M. J. Lacerda, G. Valmorbida, P.L.D. Peres. Linear filter design for continuous-time polynomial systems with L2-gain guaranteed bound. In: 54th Conference on Decision and Control (CDC 2015). Osaka, Japan.
  13. S. Galeani, M. Sassano, G. Valmorbida. Relaxed Stabilizability Conditions for Hybrid Linear Systems on Periodic Time Domains. In: 54th Conference on Decision and Control (CDC 2015). Osaka, Japan.
  14. G. Valmorbida, D. Raman and J Anderson. Bounds for Input- and State-to-Output Properties of Uncertain Linear Systems. In: Proceedings of the 8th IFAC Symposium on Robust Control Design, 2015, Bratislava, Slovakia.
  15. G. Valmorbida and A. Papachristodoulou. Introducing INTSOSTOOLS: A SOSTOOLS plug-in for integral inequalities. In: Proceedings of the 2015 European Control Conference, 2015, Linz, Austria.
  16. S. Baldi, G. Valmorbida, A. Papachristodoulou, E. B. Kosmatopoulos. Piecewise Polynomial Policy Iterations for Synthesis of Optimal Control Laws in Input-Saturated Systems. In: Proceedings of the 2015 American Control Conference, 2015, Chicago, USA.
  17. M. Ahmadi, G. Valmorbida, A. Papachristodoulou. Barrier Functionals for Output Functional Estimation of PDEs. In: Proceedings of the 2015 American Control Conference, 2015, Chicago, USA.
  18. G. Valmorbida, L. Zaccarian, S. Tarbouriech, I. Queinnec, A. Papachristodoulou. A polynomial approach to nonlinear state feedback stabilization of saturated linear systems. In: 53rd Conference on Decision and Control (CDC 2014). Los Angeles, USA.
  19. G. Valmorbida, M. Ahmadi, A. Papachristodoulou. Semi-Definite Programming and Functional Inequalities for Distributed Parameter Systems. In 53rd Conference on Decision and Control (CDC 2014). Los Angeles, USA.
  20. M. Ahmadi, G. Valmorbida, A. Papachristodoulou. Input-Output Analysis of Distributed Parameter Systems Using Convex Optimization. In: 53rd Conference on Decision and Control (CDC 2014). Los Angeles, USA.
  21. G. Valmorbida and J. Anderson. Region of Attraction Analysis via Invariant Sets. In: Proceedings of the 2014 American Control Conference, 2014, Portland, USA.
  22. G. Valmorbida and S. Galeani. Nonlinear output regulation for over-actuated linear systems. In: 52nd Conference on Decision and Control (CDC 2013). Florence, Italy.
  23. S. Galeani and G. Valmorbida. Nonlinear regulation for linear fat plants: The constant reference/disturbance case. In: 21st Mediterranean Conference on Control and Automation (MED 13). Platanias-Chania, Crete.
  24. D. Nesic, A. Teel, G. Valmorbida and L. Zaccarian. On Finite Gain Lp Stability for Hybrid Systems. In: 4th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS 12), Eindhoven, Netherlands.
  25. G. Valmorbida, S. Tarbouriech, G. Garcia and L. Zaccarian. Synthesis of polynomial static state feedback laws and analysis for discrete-time polynomial systems with saturating inputs. In: Proceedings of the 2012 American Control Conference, 2012, Montreal, Canada.
  26. A. Garulli, A. Masi, G. Valmorbida and L. Zaccarian. Piecewise polynomial Lyapunov functions for stability and nonlinear L2m-gain computation of saturated uncertain systems. In: Proceedings of the 50th Conference on Decision and Control, 2011, Orlando, FL, USA.
  27. G. Valmorbida, S. Tarbouriech, M. Turner and G. Garcia. Anti-Windup for NDI Quadratic Systems. In: Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems, 2010, Bologna, Italy.
  28. G. Valmorbida, S. Tarbouriech and G. Garcia. Region of attraction estimates for polynomial systems. In: Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. 2009, Shanghai, China. p. 5947-5952.
  29. G. Valmorbida, S. Tarbouriech, G. Garcia and J.-M.Biannic. Stability and performance analysis for input and output-constrained linear systems subject to multiplicative neglected dynamics. In: Proceedings of the 2009 American Control Conference, 2009, St Louis. p. 1225-1230.
  30. G. Valmorbida, S. Tarbouriech and G. Garcia. State feedback design for input-saturating nonlinear quadratic systems. In: Proceedings of the 2009 American Control Conference, 2009, St Louis. p. 1231-1236.
  31. S. Tarbouriech, G. Valmorbida, G. Garcia and J.-M.Biannic. Stability and Performance Analysis for Linear Systems with Actuator and Sensor Saturations Subject to Unmodeled Dynamics. In: Proceedings of the American Control Conference 2008. 2008, Seattle. p. 401-406.
  32. R. A. Borges, V. F. Montagner, G. Valmorbida, R. C. L. F. Oliveira and P. L. D. Peres. Filtragem LPV H-infinito de sistemas contínuos variantes no tempo com atraso no estado: uma abordagem por relaxações LMIs In: XVII Congresso Brasileiro de Automática - CBA 2008, 2008, Juiz de Fora.
  33. V. F. Montagner, G. Valmorbida and P. L. D. Peres. H-∞ guaranteed cost of linear systems with arbitrarily time-varying uncertain parameters through piecewise Lyapunov functions. In: Proceedings of the CAO’06 - 13th IFAC Workshop on Control Applications of Optimization. 2006, Cachan, France. p. 380-385.
  34. G. Valmorbida, I. Queinnec, P. L. D. Peres and S. Tarbouriech. Controle Descentralizado para Sistemas Saturados com Atrasos. In: CBA 2006 - XVI Congresso Brasileiro de Automática, 2006, Salvador.
  35. G. Valmorbida, V. J. S. Leite, P. L. D. Peres. Scaled Small Gain Conditions for Robust Stability of Time-Delay Systems: An LMI Approach. In: Proceedings of the 45th IEEE Conference on Decision and Control. 2006, San Diego, USA. p. 5138 - 5143
  36. G. Valmorbida, I. Queinnec, P. L. D. Peres and S. Tarbouriech. Synthèse de contrôleurs pour des systèmes avec retard et entrée saturée In: Annales in Conférence Internationale Francophone d’Automatique CIFA 2006, 2006, Bordeaux.
  37. G. Valmorbida and P. L. D. Peres. Condições LMI do Teorema do Pequeno Ganho Escalonado para Análise de Estabilidade de Sistemas com Atraso In: XXVIII CNMAC - Congresso Nacional de Matemática Aplicada e Computacional, 2005, São Paulo.
  38. G. Valmorbida and P. L. D. Peres. Estabilização Robusta de Saída para Sistemas com Atraso: Uma Abordagem por LMIs e Algoritmos Genéticos In: VII SBAI - Simpósio Brasileiro de Automação Inteligente, 2005, São Luis, MA.

Extended Abstracts

  1. N. Michel, S. Bertrand, S. Olaru, G. Valmorbida, D. Dumur. Design and Parameter Tuning of a Robust Model Predictive Controller for UAVs. In: Proceedings of the 20th World Congress of the International Federation of Automatic Control 2017, Toulouse, France.


Theses

Software

  1. Antonis Papachristodoulou, James Anderson, Giorgio Valmorbida, Stephen Prajna, Pete Seiler, Pablo Parrilo. SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB
  2. Giorgio Valmorbida, Antonis Papachristodoulou. INTSOSTOOLS Version 1.00 Plug-in to SOSTOOLS for Integral Inequalities

Teaching

  • 2015: Tutor, Somerville College, University of Oxford
  • 2014: Teaching Assistant, Introduction to Modern Control, Autonomous and Intelligent Machines & Systems CDT, University of Oxford
  • 2013-2015: Demonstrator, Control Engineering Coursework Module, University of Oxford
  • 2013-2015: Demonstrator, A5 Instrumentation and Control Laboratory, University of Oxford
  • 2008-2009, 2009-2010: Teaching Assistant, Bureaux d'études Automatique, ISAE Toulouse;
  • 2007-2008, 2008-2009: Teaching Assistant, Commande des systèmes linéaires continus, INSA Toulouse;

Contact Info

  • Email: giorgio.valmorbida@l2s.centralesupelec.fr
  • Address: Plateau de Moulon, 3 rue Joliot-Curie, F-91192 Gif-sur-Yvette Cedex. Telephone: