Seminar Details
2012-04-24 (14.00) : Discontinuous Observers with strong convergence properties and some applications
At Euler building
Organized by Mathematical Engineering
Speaker :
Jaime Moreno (UNAM, Mexico)
Abstract :
Despite of the fact that the (global and instantaneous) observability
property implies that the state of a system can be recovered in an
arbitrarily small time (for every state), smooth observers are able to
provide an estimation of the states that converges only asymptotically and
that it is only practically convergent in the presence of uncertainties or
persistent perturbations.
In order to achieve the desired properties of convergence in finite time,
robustness against persistent perturbations and convergence time
independent of the initial conditions, it is necessary to provide the
observer with strong nonlinearities, i.e. discontinuities and not globally
Lipschitz nonlinearities. In the talk some recent developments in this
direction will be presented and the results will be illustrated by means
of some applications.