Frequency Weighted Model Reduction Techniques
Speaker: A/Prof Victor Sreeram, University of Western Australia
When: 2004-06-24 12:15:00
Venue: 78-420
Host: Dr Z.Y. Dong
Abstract:A mathematical description of the dynamic characteristics of a
system is called a mathematical model. The dynamic system may be a
chemical process, a multi-machine electrical power system, an
attitude-control system of a space craft, a synchronous orbit
satellite, a flexible space structure, very large scale integration
(VLSI) circuit, a communication system, etc. Deriving a reasonable
mathematical model is fundamental to the analysis and design of a
dynamic system. In practice, one can obtain fairly complex and a
very high order model for the system (or plant). This complexity
often makes it difficult to obtain a good understanding of the
behaviour of the system. The analysis and design of such systems
can be accomplished with greater ease if a low-order model is
derived which provides a good approximation. This problem is known
as the "model reduction problem". The objective of model reduction
problem is to find a low-order model for a given high-order system
such that the low order model retains or closely approximates the
input-output behaviour of the original high-order system.
Ideally, it is important that the reduction error between the
original system and the reduced-order model is small for all
frequencies. However, sometimes, the reduction error is more
important over a certain frequency band than other frequencies.
This is especially true when using the reduced order model in
feedback control design. There an accurate approximation of the
full-order system is required at the cross-over region. This
motivated the introduction of frequency weightings in the model
reduction procedure which gave rise to what is known as frequency
weighted model reduction problem. Frequency weighted model
reduction techniques are used in controller reduction, filter
design, and circuit simulation applications. In this talk, we will
discuss some of the well-known frequency weighted model reduction
techniques.
Biography:Associate Professor Victor Sreeram obtained Bachelor's degree in
1981 from Bangalore University, India, Master's degree in 1983 from
Madras University, India, and Ph.D degree from University of
Victoria, Canada in 1989, all in Electrical Engineering.
He worked as a Project Engineer in the Indian Space Research
Organisation from 1983 to 1985. He joined the Department of
Electrical & Electronic Engineering, University of Western Australia
in 1990 and he is now an Associate Professor.
He has held Visiting Appointments at the Department of Systems
Engineering, Australian National University during 1994, 1995 and
1996 and at the Australian Telecommunication Research Institute in
Curtin University of Technology during 1997 and 1998.
His research interests are control and signal processing.
http://www.ee.uwa.edu.au/~sreeram
Type: ITEE Energy Systems Research, CIS seminar / PES, IEEE QLD Chapter Seminar
Contact:Dr Z.Y. Dong, seminar host (zdong@itee.uq.edu.au)
or Guido Governatori (ITEE seminar co-ordinator)
(guido@itee.uq.edu.au)