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Authors
Tomas McKelvey; S. O. Reza Moheimani

Digital Object Identifier (DOI)
10.3182/20050703-6-CZ-1902.00037

Page Numbers:
36-36

Index Terms
subspace method,system identification,flexible structures,positive real transfer functions,LMI

Abstract
A computational scheme is proposed to estimate a state-space representation of MIMO transfer functions from frequency response measurements. The approach can constrain the phase curve of selected elements of the transfer function matrix to certain regions. Poles of the system are determined using a frequency domain subspace approach. The phase constraint is enforced by an LMI formulation based on the positive real lemma when the zeros of the system are estimated. The successful application of the algorithm to measurements from a cantilever beam with three collocated piezoelectric actuator/sensor pairs is demonstrated.

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