Model reduction of interconnected linear systems
Henrik Sandberg, Richard M Murray
Optimal Control Applications and Methods, 2008 (to appear)
The problem of model reduction of linear systems with certain interconnection structure is considered
in this paper. To preserve the interconnection structure between subsystems in the reduction, special
care needs to be taken. This problem is important and timely because of the recent focus on complex
networked systems in control engineering. Two different model-reduction methods are introduced and
compared in the paper. Both methods are extensions to the well-known balanced truncation method.
Compared to earlier work in the area these methods use a more general linear fractional transformation
framework, and utilize linear matrix inequalities. Furthermore, new approximation error bounds that
reduce to classical bounds in special cases are derived. So-called structured Hankel singular values
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Richard Murray (murray@cds.caltech.edu)