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Guaranteed accuracy computations in systems and control | IEEE Conference Publication | IEEE Xplore

Guaranteed accuracy computations in systems and control


Abstract:

This paper is concerned with the problem of validation in the context of numerical computations in control. We explore the possibility of using computer algebra tools and...Show More

Abstract:

This paper is concerned with the problem of validation in the context of numerical computations in control. We explore the possibility of using computer algebra tools and interval methods to compute solutions which have guarantees on accuracy, e.g. which are not subject to unknown errors due to rounding or approximation. We demonstrate that this is possible for two common norms of a linear system (L2 and L∞) and H2-optimal controller synthesis. We further discuss some of the issues involved in achieving a validation property for other problems of controller synthesis.
Date of Conference: 01-04 September 2003
Date Added to IEEE Xplore: 23 April 2015
Print ISBN:978-3-9524173-7-9
Conference Location: Cambridge, UK

References

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