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Interface."],"published-print":{"date-parts":[[2016,8]]},"abstract":"<jats:p>A simple mechanical model of the skateboard\u2013skater system is analysed, in which the effect of human control is considered by means of a linear proportional-derivative (PD) controller with delay. The equations of motion of this non-holonomic system are neutral delay-differential equations. A linear stability analysis of the rectilinear motion is carried out analytically. It is shown how to vary the control gains with respect to the speed of the skateboard to stabilize the uniform motion. The critical reflex delay of the skater is determined as the function of the speed. Based on this analysis, we present an explanation for the linear instability of the skateboard\u2013skater system at high speed. Moreover, the advantages of standing ahead of the centre of the board are demonstrated from the viewpoint of reflex delay and control gain sensitivity.<\/jats:p>","DOI":"10.1098\/rsif.2016.0345","type":"journal-article","created":{"date-parts":[[2016,8,17]],"date-time":"2016-08-17T09:07:56Z","timestamp":1471424876000},"page":"20160345","update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":17,"title":["Stabilizing skateboard speed-wobble with reflex delay"],"prefix":"10.1098","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4713-5132","authenticated-orcid":false,"given":"Balazs","family":"Varszegi","sequence":"first","affiliation":[{"name":"Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Denes","family":"Takacs","sequence":"additional","affiliation":[{"name":"MTA-BME Research Group on Dynamics of Machines and Vehicles, Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gabor","family":"Stepan","sequence":"additional","affiliation":[{"name":"Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S. John","family":"Hogan","sequence":"additional","affiliation":[{"name":"Department of Engineering Mathematics, University of Bristol, Bristol, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"175","published-online":{"date-parts":[[2016,8]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.3424680"},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9290(80)90236-5"},{"key":"e_1_3_3_4_2","unstructured":"Kremnev AV Kuleshov AS. 2008 Dynamics and simulation of the simplest model of a skateboard. 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