Systems Seminar
Shooting Methods for Locating Grazing Phenomena in Hybrid Systems
Prof. Ian Hiskens
UW ECE Department
Abstract
Hybrid systems are typified by strong coupling between continuous dynamics
and discrete events. For such systems, event triggering generally has a
significant influence over subsequent system behaviour. Therefore it is
important to identify situations where a small change in parameter values
alters the event triggering pattern. The bounding case, which separates
regions of (generally) quite different dynamic behaviour, is referred to as
grazing. At a grazing point, the system trajectory makes tangential contact
with an event triggering hypersurface. The talk will present conditions
governing grazing points. Both transient and periodic behaviour will be
considered. The resulting boundary value problems are solved using shooting
methods. The approach is applicable for general nonlinear hybrid systems.
Examples will be drawn from power electronics, power systems and robotics,
all of which involve intrinsic interactions between continuous dynamics and
discrete events.
Time and Place: Wed., Mar. 16, at 3:30 pm in 4610 Engr. Hall.
SYSTEMS SEMINAR WEB PAGE:
http://homepages.cae.wisc.edu/~gubner/seminar/