Fuzzy uncertainty in forward dynamics simulation

doi:10.1016/j.ymssp.2019.02.036

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Fuzzy uncertainty in forward dynamics simulation

2019-07-01

PRE

Sigrid Leyendecker

DOI：10.1016/j.ymssp.2019.02.036

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Abstract

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In this paper, fuzzy uncertainty in forward dynamics simulation is considered. The output of the dynamical system - a fuzzy function - is determined on the basis of alpha-discretisation together with alpha-level optimisation. A new method for an efficient realisation of alpha-level optimisation is developed, which is applicable to arbitrary time integration schemes. The method, called 'Graph Follower', is based on combinations of local optimisations and time integration steps. Different formulations of the underlying alpha-level optimisation problem are derived and examined. In particular, an approximative description of the output as a function of the parameters is introduced, which enables a significant reduction of the numerical complexity of the developed method. (C) 2019 Elsevier Ltd. All rights reserved.

Keywords:

Epistemic uncertainty

Forward dynamics simulation

Fuzzy differential equations

alpha-level optimisation

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