Hector Ramirez Estay

Learn More
In this paper it is shown that an input strictly passive linear finite dimensional port-Hamiltonian controller exponentially stabilizes a large class of boundary control systems. This follows since the finite dimensional controller dissipates the energy flowing through the boundaries of the infinite dimensional system. The assumptions on the controller is(More)
The conditions for structure preserving feedback of controlled contact system are studied. It is shown that only a constant feedback preserves the canonical contact form, hence a structure preserving feedback implies a contact system with respect to a new contact form. A necessary condition is stated as a matching equation in the feedback, the contact(More)
We show that a finite dimensional strictly passive linear controller exponentially stabilizes a large class of partial differential equations which are actuated through its boundaries on a one dimensional spatial domain. This is achieved by extending existing results on exponential stability of boundary control system with static boundary control to the(More)
Conservative contact systems are defined with respect to an invariant Legendre submanifold and permit to endow thermodynamic systems with a geometric structure. Structure preserving feedback of controlled conservative contact systems involves to determine the existence of closed-loop invariant Legendre submanifolds. General results characterizing these(More)
This paper is concerned with the energy shaping of 1D linear boundary controlled port-Hamiltonian systems. The energy-Casimir method is first proposed to deal with power preserving systems. It is shown how to use finite dimensional dynamic boundary controllers and closed-loop structural invariants to partially shape the closed-loop energy function and how(More)
Control contact systems represent controlled (or open) irreversible processes which allow to represent simultaneously the energy conservation and the irreversible creation of entropy. Such systems systematically arise in models established in Chemical Engineering. The differential-geometric of these systems is a contact form in the same manner as the(More)
This paper deals with the control of a class of simplified models for flexible micro-grippers for DNA manipulation. The overall system is first modelled as a boundary controlled port Hamiltonian system made up as the interconnection of an infinite dimensional system (modelled as an undamped Timoshenko beam) representing the flexible arm of the gripper with(More)