Model Reduction of Systems with Symmetries

B. Vanluyten, J.C. Willems, B. De Moor
Proceedings of the 44th IEEE Conference on Decision and Control  
In this paper we address the problem of approximating symmetric systems with systems with the same symmetry. We show that for periodic systems, a reduced order periodic system can be obtained by SVD-techniques. We also show that pointwise symmetries of the impulse response are retained after balanced model reduction. Both results are based on the fact that under certain conditions the SVD-reduction of a matrix with unitary symmetries leads to a lower rank matrix with the same symmetries. The
more » ... symmetries. The results are applied to model reduction of an interconnected system.
doi:10.1109/cdc.2005.1582259 fatcat:csaasdmw2fdmdmzkzfctxrxzkq