Spatial balanced model reduction for flexible structures

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. 1999 Elsevier Science Ltd. All rights reserved.

• Type: Journal
• Year: 1999
• Where: AUTOMATICA
• Authors: S. O. Reza Moheimani, Hemanshu Roy Pota, Ian R. Petersen
• Keywords: AUTOMATICA 1999, Finite-dimensional Input Vector, Finite-dimensional State Vector, Model Reduction