Observer theory for linear systems - a playground for paradigms

Dr. Jochen Trumpf (InfoEng,RSISE,CECS,ANU. & SEACS,NICTA.)

DATE: 2006-01-20
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU

ABSTRACT:
Roughly speaking, the observation problem is to compute or estimate the current values of some measurable quantities that evolve in time - call them variables - from the knowledge of past values of some (other) variables, where both sets of variables are interconnected by the action of a dynamical system. An observer is a system or algorithm that computes these values.

In this talk I will try to explain three different paradigms for the modelling of linear deterministic systems (state space, behaviors and polynomial models) and how they interact in observer theory. I will present a particular class of observers (tracking observers) and discuss their properties. The talk will culminate in a characterisation of all possible observer dynamics (and hence error dynamics) for this class of observers. For the experts: this is a generalisation of Rosenbrock's theorem to the quotient space setting which is joint work with Paul Fuhrmann (accepted for publication in IJC). This result has never been publicly presented before.

BIO:
Dr Trumpf's research interests lie in applying advanced mathematical theory to engineering problems. He concentrates mostly on observer theory and design and on optimisation on manifolds or other spaces with nontrivial structure. Application areas he is interested in include computer vision, robotics and telecommunication.

From 1997-2001 Dr Trumpf was a Research Fellow in the Institute for Applied Mathematics and Statistics at the University of Würzburg (Germany). In 2001-2002 Dr Trumpf was a Research Fellow in the Mathematical Institute at the University of Würzburg (Germany). During Spring 2003 Dr Trumpf was a Visiting Fellow in the Center for Applied Mathematics at the University of Notre Dame (USA). Since April 2003 Dr Trumpf has been a Research Fellow in the Department of Systems Engineering (now known as the Department of Information Engineering), at the Research School of Information Sciences and Engineering, The Australian National University, Canberra (Australia).

Dr Trumpf earned a Vordiplom (Bachelor degree) in Mathematics in 1993, a Vordiplom (Bachelor degree) in Computer Science in 1994, a Diplom (Masters degree with a one year thesis project) in Mathematics in 1997 and a Dr. rer. nat. (PhD degree) in Mathematics in 2002, all from the Department of Mathematics and Computer Science at the University of Würzburg, Germany.

MEDIA:
060120_trumpf.pdf
060120_trumpf_video_redirect.html

	Skip Navigation CECS Home \| ANU Home \| Search ANU \| HORUS \| Staff Home
	Seminars @ CECS ANU College of Engineering and Computer Science