MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

 

Download:
Download as a PDF
unknown authors
http://www.robotic.dlr.de/control/publications/2003/varga_acc03p1.pdf
Add To MetaCart

Abstract:

On frequency-weighted coprime factorization based controller reduction We consider the efficient solution of a class of coprime factorization based controller approximation problems by using frequency-weighted balancing related model reduction approaches. It is shown that for some special stability enforcing frequency-weights, the computation of the frequency-weighted controllability and observability grammians can be done by solving reduced order Lyapunov equations. The new approach can be used in conjunction with accuracy enhancing square-root and balancing-free techniques developed for the balancing related coprime factors based model reduction. 1

Citations

183 Principal component analysis in linear systems: Controllability, observability, and model reduction – Moore - 1981
52 Numerical solution of the stable, non-negative definite Lyapunov equation – HAMMARLING - 1982
44 Truncated balanced realization of a stable non-minimal state-space system – Tombs, Postlethwaite - 1987
37 Efficient minimal realization procedure based on balancing – Varga - 1991
31 Model reduction for control system design – Enns - 1984
22 Controller reduction: concepts and approaches – Anderson, Liu - 1989
22 Singular Perturbation Approximation of Balanced Systems – Liu, Anderson - 1989
17 Balancing-free square-root algorithm for computing singular perturbation approximations – Varga - 1991
7 Coprime factorization controller reduction with Bezout identity induced frequency weighting – Liu, Anderson, et al. - 1990
5 Coprime factors model reduction based on square-root balancing-free techniques – Varga - 1992
5 Frequencyweighted balancing related controller reduction – Varga, Anderson - 2002
4 Performance bounds for coprime factor controller reductions – Zhou, Chen - 1995
View or Download | Add to My Collection | Correct Errors