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UID:0-342@aerospace.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20190417T163000
DTEND;TZID=Asia/Jerusalem:20190417T173000
DTSTAMP:20230527T134915Z
URL:https://aerospace.technion.ac.il/events/a-network-optimization-framewo
rk-for-cooperative-control-of-passive-short-systems/
SUMMARY:A Network-Optimization Framework for Cooperative Control of Passive
-Short Systems
DESCRIPTION:Lecturer:Miel Sharf\n Faculty:Department of Aerospace Engineeri
ng\n Institute:Technion – Israel Institute of Technology\n Location:Clas
sroom 165\, ground floor\, Library\, Aerospace Eng.\n Zoom: \n Abstract: \
n Details: \n The mathematical theory of nonlinear cooperative control re
lies heavily on notions from graph theory and passivity theory. A general
analysis result is known about cooperative control of maximally equilibr
ium-independent passive systems\, relating steady-states of the closed-lo
op system to optimal solutions of certain static convex network optimizati
on problems. This relation has many applications in various areas of mult
i-agent systems\, e.g. model-free control\, network identification\, and
fault detection and isolation.\nHowever\, when trying to apply the framewo
rk to passive-short systems directly\, it fails\, as the cost function in
the optimization problem becomes non-convex\, or even undefined. We show t
he network optimization framework can be extended to output-passive short
systems by regularizing the said optimization problems\, inducing a passiv
izing feedback term on the agents. We explore two methods of doing so. We
then study systems with general shortage of passivity\, showing that a pas
sivizing transformation can always be found by an analogous regularization
process. We exemplify our results by case studies.
CATEGORIES:Seminars
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