Brief Spatial balanced model reduction for flexible structures

Authors:
S. O. Reza Moheimani;Hemanshu R. Pota;Ian R. Petersen
Affiliations:
Department of Electrical and Computer Engineering, University of Newcastle, NSW 2308, Australia;Department of Electrical Engineering, Australian Defence Force Academy, Campbell, 2600, Australia;Department of Electrical Engineering, Australian Defence Force Academy, Campbell, 2600, Australia
Venue:
Automatica (Journal of IFAC)
Year:
1999

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Abstract

This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite-dimensional input vector. However, the output is contained in a finitedimensional subspace of an infinite-dimensional space. This often occurs in the modelling of physical systems such as flexible structures, acoustic ducts, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H"~ norm of the error system.