Computation of the stability robustness of large state space models with real perturbations

L. Qiu*, E. J. Davison

*Corresponding author for this work

Research output: Contribution to journalConference article published in journalpeer-review

2 Citations (Scopus)

Abstract

The authors address the computational problem encountered by a novel method of stability robustness analysis previously outlined, when it is applied to large systems. An iterative procedure is developed to compute the singular values and singular vectors of certain classes of large composite matrices; such a procedure can be used to solve problems which, because of dimensionality, cannot be solved by applying the QR transformation method. The procedure is then applied to the determination of stability robustness bounds of large-state-space systems with real perturbations. Various numerical examples, including a 46th-order spacecraft system, are given to illustrate the results obtained.

Original languageEnglish
Pages (from-to)1380-1385
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1988
Externally publishedYes
EventProceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA
Duration: 7 Dec 19889 Dec 1988

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