In proceedings American Control Conference, Vol. 4, pp. 2415-2419, Chicago, June 2000.
A modal analysis comparison of Lagrangian descriptor models
Richard A. Layton and Marwan U. Bikdash

The generalized eigenvalue problem for descriptor models are compared based on Lagrangian differential-algebraic equations (DAEs) of motion for discrete systems. The DAEs are linearized using a local, indirect approach and alternate descriptor representations are obtained. The eigenvalues and eigenvectors for these alternate representations are compared using a simple numerical example. Results include the identification of spurious zero eigenvalues, interpretation of constraint-related infinite eigenvalues, and interpretation of the additional information contained in the eigenvectors of systems with "excess" descriptors.

©2000 American Automatic Control Council.

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Richard A. Layton
Last modified: 10 Jul 02