A single differential equation for first-excursion time in a class of linear systems / Matthew B. Greytak in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 133 N° 6 (Novembre 2011)

Public ISBD [article]  inTransactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 133 N° 6 (Novembre 2011) . - 07 p. Titre : A single differential equation for first-excursion time in a class of linear systems Type de document : texte imprimé Auteurs : Matthew B. Greytak, Auteur ; Franz S. Hover, Auteur Année de publication : 2012 Article en page(s) : 07 p. Note générale : Dynamic systems Langues : Anglais (eng) Mots-clés : Aircraft Closed loop systems Continuous Time Damping Differential equations Linear Marine vehicles Mobile robots Oscillators Path planning Structural engineering Time-varying Index. décimale : 553 Géologie économique. Minérographie. Minéraux. Formation et gisements de minerais Résumé : First-excursion times have been developed extensively in the literature for oscillators; one major application is structural dynamics of buildings. Using the fact that most closed-loop systems operate with a moderate to high damping ratio, we have derived a new procedure for calculating first-excursion times for a class of linear continuous, time-varying systems. In several examples, we show that the algorithm is both accurate and time-efficient. These are important attributes for real-time path planning in stochastic environments, and hence the work should be useful for autonomous robotic systems involving marine and air vehicles. DEWEY : 553 ISSN : 0022-0434 [article] A single differential equation for first-excursion time in a class of linear systems [texte imprimé] / Matthew B. Greytak, Auteur ; Franz S. Hover, Auteur . - 2012 . - 07 p. Dynamic systems Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 133 N° 6 (Novembre 2011) . - 07 p. Mots-clés : Aircraft Closed loop systems Continuous Time Damping Differential equations Linear Marine vehicles Mobile robots Oscillators Path planning Structural engineering Time-varying Index. décimale : 553 Géologie économique. Minérographie. Minéraux. Formation et gisements de minerais Résumé : First-excursion times have been developed extensively in the literature for oscillators; one major application is structural dynamics of buildings. Using the fact that most closed-loop systems operate with a moderate to high damping ratio, we have derived a new procedure for calculating first-excursion times for a class of linear continuous, time-varying systems. In several examples, we show that the algorithm is both accurate and time-efficient. These are important attributes for real-time path planning in stochastic environments, and hence the work should be useful for autonomous robotic systems involving marine and air vehicles. DEWEY : 553 ISSN : 0022-0434

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