Time-stepping methods for nonsmooth dynamical systems simulation

Time-stepping methods for nonsmooth dynamical systems simulation

This is a past event

Prof. Bernard Brogliato is Director of Research for INRIA at Grenoble University, and leader of the nonsmooth dynamical systems group. This talk concerns the numerical simulation of a class of nonsmooth dynamical systems.

This talk concerns the numerical simulation of a class of nonsmooth dynamical systems, namely systems that contain multivalued nonlinearities like Coulomb's friction, relays, sliding-mode controllers. They are embedded into Filippov's differential inclusions, or differential inclusions with maximal monotone set-valued operator. Time-stepping methods are presented. It is shown why implicit Euler methods supersede explicit ones, because they allow one to avoid the so-called chattering phenomenon (oscillations in a neighbourhood of the attractive surface) due solely to the time-discretisation. Applications to discrete-time sliding-mode control will be presented also.

Speaker
Prof Bernard Brogliato
Hosted by
CADR
Venue
FN LT3