TY - GEN
T1 - On the computation of the maximal structured singular value for aeronautical applications
AU - Halton, M. K.
AU - Hayes, M. J.
N1 - Publisher Copyright:
© 2002 IEEE.
PY - 2002
Y1 - 2002
N2 - This paper considers the necessary transformations and the computational issues associated with the determination of the maximal structured singular value, μmax without the use of a frequency gridding strategy. It is shown that, for the case of purely real model perturbations, convergence difficulties exist in determining bounds on μmax using existing Matlab software. A new computational scheme is presented which improves on existing methods for the computation of the worst case combination of real uncertain parameters. This scheme easily outperforms regularisation type solutions, which have been suggested as one way of improving the convergence properties of a strictly real robustness analysis. The improvement is illustrated on a well known civil aircraft robustness analysis example.
AB - This paper considers the necessary transformations and the computational issues associated with the determination of the maximal structured singular value, μmax without the use of a frequency gridding strategy. It is shown that, for the case of purely real model perturbations, convergence difficulties exist in determining bounds on μmax using existing Matlab software. A new computational scheme is presented which improves on existing methods for the computation of the worst case combination of real uncertain parameters. This scheme easily outperforms regularisation type solutions, which have been suggested as one way of improving the convergence properties of a strictly real robustness analysis. The improvement is illustrated on a well known civil aircraft robustness analysis example.
KW - certification
KW - robustness analysis
KW - Structured singular value
UR - http://www.scopus.com/inward/record.url?scp=84964068031&partnerID=8YFLogxK
U2 - 10.1109/CACSD.2002.1036963
DO - 10.1109/CACSD.2002.1036963
M3 - Conference contribution
AN - SCOPUS:84964068031
T3 - 2002 IEEE International Symposium on Computer Aided Control System Design, CACSD 2002 - Proceedings
SP - 254
EP - 259
BT - 2002 IEEE International Symposium on Computer Aided Control System Design, CACSD 2002 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE International Symposium on Computer Aided Control System Design, CACSD 2002
Y2 - 18 September 2002 through 20 September 2002
ER -