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by A. Varga, G. Looye
In Proc. CACSD'99 Symposium, Cohala
http://www.robotic.dlr.de/control/publications/1999/varga_cacsd99p1.pdf
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Abstract:
One of the main difficulties in applying modern control theories for designing robust controllers for linear uncertain plants is the lack of adequate models describing structured physical model uncertainties. We present a systematic approach for the generation of uncertainty models described by linear fractional transformations (LFTs) and report on recently developed symbolic and numerical software to assist the generation of low order LFT-based uncertainty models. The kernel of the symbolic software is a Maple library for generation and manipulation of LFT models. Additional numerical tools for order reduction of LFT models are based on MAT-LAB and FORTRAN implementations of numerically reliable algorithms. Three examples of uncertainty modeling of aircraft dynamics illustrate the capabilities of the new software to solve high order uncertainty modeling problems. 1.
Citations
|
46
|
SLICOT -- A subroutine library in systems and control theory
– Benner, Mehrmann, et al.
- 1999
|
|
17
|
Model reduction of multidimensional and uncertain systems
– Beck, Doyle, et al.
- 1996
|
|
8
|
Review of LFTs, LMIs, and µ
– Doyle, Packard, et al.
- 1991
|
|
7
|
Parametric uncertainty modeling using LFTs
– Terlouw, Lambrechts, et al.
- 1993
|
|
7
|
Automated Generation of LFT-Based Parametric Uncertainty Descriptions from Generic Aircraft Models
– Varga, Looye, et al.
- 1997
|
|
6
|
Numerically stable algorithm for standard controllability form determination
– Varga
- 1981
|
|
6
|
Numerical methods and software tools for model reduction
– Varga
- 1994
|
|
5
|
A multidimensional realization algorithm for parametric uncertainty modeling problems and multiparameter margin problems
– Cheng, Moor
- 1994
|
|
4
|
Evaluation of multivariate polynomials and their derivatives
– Carnicer, Gasca
- 1990
|
|
3
|
Computational study and comparisons of LFT reducibility methods
– Beck, D’Andrea
- 1998
|
|
3
|
A matrix approach to low-order uncertainty modeling of real parameters
– Belcastro, Chang, et al.
- 1996
|
|
3
|
On linear fractional representations of systems with parametric uncertainty
– Cockburn, Morton
- 1996
|
|
3
|
Kalman decomposition of linear fractional transformation representations and minimality
– D'Andrea, Khatri
- 1997
|
|
2
|
The RCAM Design Challenge Problem Description
– Lambrechts, Bennani, et al.
- 1997
|
