Seminar Details
2014-02-25 (14.00) : Stabilization of Distributed Parameter Systems by State Feedback with Positivity Constraints
At Euler building
Organized by Mathematical Engineering
Speaker :
Joseph Winkin ( FUNDP )
Abstract :
Positive linear systems are linear dynamical systems whose state trajectories are nonnegative for every nonnegative initial state and for all nonnegative input functions. Positive systems are of great importance, as the nonnegativity property occurs quite frequently in practical applications where the state variables correspond to quantities that do not have real meaning unless they are nonnegative, like the concentrations of species involved in chemical reactions. The positivity property for infinite-dimensional state-space systems is related to the maximum principle for PDE's and it plays notably an important role in the dynamical analysis and control of distributed parameter models of tubular reactors. This talk deals with the stabilization of distributed parameter (i.e. with an infinite dimensional state space) linear systems by
state feedback with a positivity constraint on the state components. The main part of the talk is the description of several methods for computing a positively stabilizing state feedback, under suitable
conditions on the nominal system.