User:Giorgio

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Post-Doctoral Research Assitant, Control Group, Department of Engineering Science, Oxford
Control Group, Department of Engineering Science


Contents

Background

I am currently a Post-Doctoral Research Assistant at the Control Group, Department of Engineering Science, University of Oxford under the supervision of Dr. Antonis Papachristodoulou. I completed my PhD in 2010 at LAAS/CNRS at Toulouse where I was 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 Dr. Luca Zaccarian and Dr. Sergio Galeani.


Research Interests

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


Collaborators

Publications

Journal papers

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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 (currently Journal of Control, Automation and Electrical Systems).


Conference papers

  1. 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.
  2. 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.
  3. 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.
  4. G. Valmorbida and J. Anderson. Region of Attraction Analysis via Invariant Sets. In: Proceedings of the 2014 American Control Conference, 2014, Portland, USA.
  5. G. Valmorbida and S. Galeani. Nonlinear output regulation for over-actuated linear systems. In 52nd Conference on Decision and Control (CDC 2013). Florence, Italy.
  6. 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.
  7. 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).
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. G. Valmorbida, S. Tarbouriech, 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.
  15. 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.
  16. V. F. Montagner, G. Valmorbida, R. C. L. F. Oliveira 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.
  17. 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.
  18. 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
  19. 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.
  20. 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.
  21. 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.


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


Teaching

  • 2007-2008, 2008-2009: Teaching Assistant, Commande des systèmes linéaires continus, INSA Toulouse;
  • 2008-2009, 2009-2010: Teaching Assistant, Bureaux d'études Automatique, ISAE Toulouse;
  • 2013-2014: Demonstrator, A5 Instrumentation and Control Laboratory, University of Oxford
  • 2013-2014: Demonstrator, Control Engineering Coursework Module, University of Oxford

Contact Info

  • Email: giorgio.valmorbida@eng.ox.ac.uk
  • Department Address: Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, U.K. Telephone: +44 1865 2 83035