{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T21:47:14Z","timestamp":1648763234893},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2011,6]]},"abstract":"<jats:p> This paper presents a new method to decrease the error of real time numerical integration in an Inertial Navigation System (INS), which is widely used in aircrafts, spacecrafts, and field robotics. The well-known Runge\u2013Kutta method is often used for real time numerical integration in INS algorithms. Here a combination of the composite Simpson's 1\/3 and 3\/8 rules is developed to effectively reduce the total integration error, named Subtractive Composite Simpson Method (SCSM). Also we propose a new method that efficiently reduces the error of the integrator block using the combination of a fourth-order Runge\u2013Kutta (RK4) and SCSM. Simulation results show one order of magnitude decrease in position error after double integration of acceleration value. Extra accuracy gain using this new method makes it possible to choose low cost inertial sensors to realize a low cost INS. <\/jats:p>","DOI":"10.1142\/s0218126611007530","type":"journal-article","created":{"date-parts":[[2011,4,12]],"date-time":"2011-04-12T22:22:11Z","timestamp":1302646931000},"page":"667-680","source":"Crossref","is-referenced-by-count":0,"title":["SUBTRACTIVE COMPOSITE SIMPSON METHOD FOR LOW COST INERTIAL NAVIGATION SYSTEMS"],"prefix":"10.1142","volume":"20","author":[{"given":"AMIR MOOSAVIE","family":"NIA","sequence":"first","affiliation":[{"name":"Faculty of Electrical &amp; Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"MIRZAJANI","sequence":"additional","affiliation":[{"name":"Faculty of Electrical &amp; Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"ESFALANI","sequence":"additional","affiliation":[{"name":"Faculty of Electrical &amp; Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,30]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-4563(199902)16:2<81::AID-ROB2>3.0.CO;2-9"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1515\/9783110800234"},{"key":"rf6","volume-title":"IEE Radar, Sonar, Navigation and Avionics Series 5","author":"Titterton D. H.","year":"1997"},{"key":"rf7","volume-title":"Numerical Methods for Computer Science, Engineering and Mathematics","author":"Mathews J. H."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1137\/0728027"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2005.04.028"},{"key":"rf11","author":"Blanes S.","journal-title":"Journal of Applied Numerical Mathematics"},{"key":"rf12","author":"Zingg D. W.","journal-title":"Journal of Applied Numerical Mathematics"},{"key":"rf13","author":"Blanes S.","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"rf14","volume-title":"Numerical Methods","author":"Douglas Faires J.","year":"1993"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126611007530","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T13:17:08Z","timestamp":1565097428000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126611007530"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6]]},"references-count":10,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2012,4,30]]},"published-print":{"date-parts":[[2011,6]]}},"alternative-id":["10.1142\/S0218126611007530"],"URL":"https:\/\/doi.org\/10.1142\/s0218126611007530","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6]]}}}