Application of Modal Intervals to the Generation of Error-Bounded Envelopes

Application of Modal Intervals to the Generation of Error-Bounded Envelopes An interval model can express the imprecision and the uncertainty associated to the modeling of a system. The result of the simulation of one of these models can be represented in the form of envelope trajectories. These envelopes can be characterized by several properties such as completeness or soundness, that lead to the concepts of overbounded and underbounded envelopes. The simulation of such interval models can be performed by several means including qualitative, semiqualitative and quantitative methods. A brief description of the different types of simulators is presented and their respective properties are outlined and compared in relation to model-based fault detection. Whereas the existing simulators do not provide any information about the "error" with respect to the exact envelope, a method to obtain error-bounded envelopes is proposed. It is based on the simultaneous computation of an underbounded and an overbounded envelope by means of Modal Interval Analysis. A way of controlling the error of the envelopes and adjusting it to a desired specified value is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Application of Modal Intervals to the Generation of Error-Bounded Envelopes

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2001 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1011426300135
Publisher site
See Article on Publisher Site

Abstract

An interval model can express the imprecision and the uncertainty associated to the modeling of a system. The result of the simulation of one of these models can be represented in the form of envelope trajectories. These envelopes can be characterized by several properties such as completeness or soundness, that lead to the concepts of overbounded and underbounded envelopes. The simulation of such interval models can be performed by several means including qualitative, semiqualitative and quantitative methods. A brief description of the different types of simulators is presented and their respective properties are outlined and compared in relation to model-based fault detection. Whereas the existing simulators do not provide any information about the "error" with respect to the exact envelope, a method to obtain error-bounded envelopes is proposed. It is based on the simultaneous computation of an underbounded and an overbounded envelope by means of Modal Interval Analysis. A way of controlling the error of the envelopes and adjusting it to a desired specified value is presented.

Journal

Reliable ComputingSpringer Journals

Published: Oct 3, 2004

References

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