Controlling networks of systems

Dr. Uwe Helmke (Institute of Mathematcis; University of Wuerzburg, Germany)

SYSTEMS AND CONTROL SERIES

DATE: 2012-07-20
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU
CONTACT: JavaScript must be enabled to display this email address.

ABSTRACT:
This is a linear systems talk. We discuss the problem of controlling a network of arbirtarily interconnected linear dynamical agents. The transfer functions that describe the dynamics of the agents are allowed to be arbitrary strictly proper rational functions. A generalization of the Hautus criterion for controllability and observability is presented, using classical characterizations of system equivalence due to Fuhrmann and Rosenbrock. Applications include those to model reduction and sensitivity optimization. New short proofs characterizing controllability for series, parallel and feedback interconnections are given.