Jesús TOLEDO ZUCCO : "Synthesis of observer-based control laws for distributed parameter systems: a Hamiltonian approach to ports

PhD works of Jesús TOLEDO ZUCCO : "Synthesis of observer-based control laws for distributed parameter systems: a Hamiltonian approach to ports"

Abstract :  The port-Hamiltonian approach has shown to be well suited for the modelling and control of distributed parameter systems (DPSs). Some examples of this class of systems are the waves, beams, open channels, fluid motion, piezoelectric structures, and chemical reactors. In this thesis, we have provided some tools for the design of observer-based state feedback (OBSF) controllers for a class of DPSs. The class of DPSs studied in this thesis is the class of boundary controlled port-Hamiltonian systems (BC-PHSs). These are systems described by partial differential equations with actuators and sensors located at the spatial boundaries. For the synthesis, we have used two approaches: the early-lumping and the late-lumping approach. For the early lumping approach,
we have proposed two methods to design the OBSF gains. In both, we combine classical control tools as the linear quadratic regulator or pole placement with the port-Hamiltonian approach to guarantee the closed-loop stability when applying the OBSF controller to the BC-PHS. For the late-lumping approach, we have proposed infinite-dimensional observers for BC-PHSs subject to different types of measurements. Depending on the case, the observer convergence is guaranteed to be asymptotic or exponential. Finally, some first steps toward the observer-based damping injection and energy shaping have been studied using the vibrating string as an example.

Jury Composition : M. Yann LE GORREC, Professeur des universités, Université Bourgogne Franche-Comté, Directeur de thèse
M. Héctor RAMIREZ, Maître de conférences Université, Federico Santa María, Co-directeur de thèse
M. Yongxin WU, Maître de conférences, Université Bourgogne Franche - Comté, Co-directeur de thèse
M. Paul KOTYCZKA, Maître de conférences, Université Technique de Munich, Examinateur
M. Laurent LEFÈVRE, Professeur des universités, Université Grenoble-Alpes, Rapporteur
M. Alessandro MACCHELLI, Associate Professor, Université de Bologne, Rapporteur
M. Bernhard MASCHKE, Professeur des universités, Université Claude Bernard Lyon1 Examinateur
M. Thomas MEURER,  Full professor, Université de Kiel Examinateur

Localization : Meeting room AS2M - ENSMM - 26, Rue de l'Epitaphe - Besançon