| Titre : | A single differential equation for first-excursion time in a class of linear systems (2012) |
| Auteurs : | Matthew B. Greytak, Auteur ; Franz S. Hover, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Transactions of the ASME . Journal of dynamic systems, measurement, and control (Vol. 133 N° 6, Novembre 2011) |
| Article en page(s) : | 07 p. |
| Note générale : | Dynamic systems |
| Langues : | Anglais |
| Index. décimale : | 553 (Géologie économique. Minérographie. Minéraux. Formation et gisements de minerais) |
| Tags : | Aircraft Closed loop systems Continuous Time Damping Differential equations Linear Marine vehicles Mobile robots Oscillators Path planning Structural engineering Time-varying |
| 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 |
