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Application of Functional Intervals to the Response Evaluation of Linear Time-Invariant Systems with Fuzzy Input

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Reliable Computing

Abstract

Functional input uncertainty is investigated for linear time-invariant (LTI) systems. This kind of uncertainty arises, for instance, when actuator's reliability is taken into account. In this case, the system input u(t) can be considered as a fuzzy function, ũ(t), with α-cut interpreted as the set of functions between the given bounds. Based on the use of functional intervals and Aumann's integral from set-valued analysis, a method is presented to obtain an approximation of arbitrary precision of the output envelopes. Given a precision, an approximation with this exactly precision can be obtained. With this method, wrapping effect is avoided.

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  1. Department of Systems Engineering & Automation, Valencia Technical University, E-46022, Valencia, Spain

    Jorge Bondia & Jesús Picó

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  1. Jorge Bondia
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  2. Jesús Picó
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Bondia, J., Picó, J. Application of Functional Intervals to the Response Evaluation of Linear Time-Invariant Systems with Fuzzy Input. Reliable Computing 10, 369–387 (2004). https://doi.org/10.1023/B:REOM.0000032119.66122.e5

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