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dc.contributor.authorLópez Rosado, Alberto
dc.contributor.authorMoriano, Cristina
dc.contributor.authorOlazagoitia, José Luis
dc.contributor.authorPáez, Francisco Javier
dc.description.abstractThis article focusses on faster computation techniques to integrate mechanical models in electronic advanced active safety applications. It shows the different techniques of approximation in series of functions and differential equations applied to vehicle dynamics. This allows the achievement of approximate polynomial and rational solutions with a very fast and efficient computation. Firstly, the whole theoretical basic principles related to the techniques used are presented: orthogonality of functions, function expansion in Chebyshev and Jacobi series, approximation through rational functions, the Minimax-Remez algorithm, orthogonal rational functions (ORF’s) and the perturbation of dynamic systems theory, that reduces the degree of the expansion polynomials used. As an application, it is shown the obtaining of approximate solutions to the longitudinal dynamics, vertical dynamics, steering geometry and a tyre model, all obtained through development in series of orthogonal functions with a computation much faster than those of its equivalents in the classic vehicle theory. These polynomial partially symbolic solutions present very low errors and very favourable analytical properties due to their simplicity, becoming ideal for real time computation as those required for the simulation of evasive manoeuvres prior a crash. This set of techniques had never been applied to vehicle dynamics
dc.publisherIEEE/ASME Transactions on Mechatronicsspa
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.subjectFast solversspa
dc.subjectChebyshev seriesspa
dc.subjectTheory of Approximationspa
dc.subjectVehicle Dynamicsspa
dc.titleFast Computing on Vehicle Dynamics Using Chebyshev Series
dc.typejournal articlespa
dc.rights.accessRightsopen accessspa
dc.description.extent748 KBspa

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Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España