Original scientific paper

Balancing three matrices in control theory

Nela Bosner orcid.org/0000-0001-8667-4513 ; Department of Mathematics, University of Zagreb, Zagreb, Croatia

Abstract

Several problems from control theory are presented which are sensitive to badly scaled matrices. We were specially concerned with the algorithms involving three matrices, thus we extended the Ward's balancing algorithm for two matrices. Numerical experiments confirmed that balancing three matrices can produce an accurate frequency response matrix for descriptor linear systems, it can also improve the solution of the pole assignment problem via state feedback and the determination of the controllable part of the system.

Keywords

balancing three matrices; diagonal transformations; numerical stability; frequency response matrix; pole assignment problem; controllable part of the system

Hrčak ID:

130112

URI

https://hrcak.srce.hr/130112

Publication date:

10.12.2014.

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