MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Numerical software in SLICOT for low order controller design (2002) [1 citations — 1 self]

Download:
Download as a PDF
by A. Varga
in Proc. 2002 IEEE Int. Conf. Control Applications and IEEE Int. Symp. Computer Aided Control System Design, CCA/CACSD 2002
http://www.robotic.dlr.de/control/publications/2002/varga_cacsd02.pdf
Add To MetaCart

Abstract:

We describe the model and controller reduction software recently developed for the control and systems library SLICOT. Based on the latest algorithmic developments, a powerful collection of Fortran 77 subroutines has been implemented to cover the relative error and frequency-weighted model reduction, as well as special controller reduction approaches. The new model and controller reduction routines are among the most powerful and numerically most reliable software tools available for model and controller reduction. To facilitate their usage in user friendly environments, easy-to-use and flexible interfaces have been developed to integrate them in Matlab and Scilab. 1

Citations

183 Principal component analysis in linear systems: Controllability, observability, and model reduction – Moore - 1981
159 All optimal Hankel-norm approximations of linear multivariable systems and their L ∞ norms – Glover - 1984
46 SLICOT -- A subroutine library in systems and control theory – Benner, Mehrmann, et al. - 1999
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
36 A Transformation Approach to Stochastic Model Reduction – Desai, Pal - 1984
35 LAPACK users’ guide, Third edition – Anderson, Bai, et al. - 1999
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
16 Model Reduction for Control System Design. Communications and Control Engineering Series – Obinata, Anderson - 2001
13 Frequency-Weighted optimal Hankel-norm approximation of stable transfer functions – Lathan, Anderson - 1985
12 Model reduction for robust control: a Schur relative error method – Safonov, Chiang - 1988
12 Model reduction software in the SLICOT library – Varga - 2001
11 Enhanced modal approach for model reduction – Varga - 1995
10 A new square-root balancing-free stochastic truncation model reduction algorithm – Varga, Fasol - 1993
8 Engineering and scientific Computing with Scilab – Gomez - 1999
7 Coprime factorization controller reduction with Bezout identity induced frequency weighting – Liu, Anderson, et al. - 1990
7 New Frequency-Weighted Balanced Truncation Method and an Error Bound – Wang, Sreeram, et al. - 1999
6 Model reduction via frequency weighted balanced realization – Lin, Chiu - 1992
5 Coprime factors model reduction based on square-root balancing-free techniques – Varga - 1992
5 Frequencyweighted balancing related controller reduction – Varga, Anderson - 2002
4 Optimal Hankel-norm approximation of stable systems with first-order stable weighting functions – Hung, Glover - 1986
4 Square-root balancing-free methods for the frequency-weighted balancing related model reduction – Varga, Anderson - 2001
2 Generalized balanced stochastic-truncation – Green, Anderson - 1990
2 Xmath Model Reduction Module – MATRIXx - 1998
2 Numerical approach for the frequency-weighted Hankel-norm approximation – Varga - 2001
1 New Numerical Software for Model and Controller Reduction – Varga - 2002