{"id":49,"date":"2012-02-20T14:40:00","date_gmt":"2012-02-20T20:40:00","guid":{"rendered":"http:\/\/charles-oneill.com\/blog\/?p=49"},"modified":"2014-07-31T11:17:21","modified_gmt":"2014-07-31T16:17:21","slug":"project-review-nonlinear-delta-wing-analysis-and-control","status":"publish","type":"post","link":"https:\/\/charles-oneill.com\/blog\/project-review-nonlinear-delta-wing-analysis-and-control\/","title":{"rendered":"Project Review: Nonlinear Delta Wing Analysis and Control"},"content":{"rendered":"<p><\/p>\n<div style=\"text-align: center;\">Numerical Single-Degree-of-Freedom Analysis and Control of an 80<\/div>\n<div style=\"text-align: center;\">Degree Delta Wing with an Analytical Roll Moment Model<\/div>\n<div style=\"text-align: center;\"><\/div>\n<div style=\"text-align: center;\">Charles O&#8217;Neill<\/div>\n<div style=\"text-align: center;\">December 2003<\/div>\n<p>This project surveys nonlinear analysis and control methods for a speci\ufb01c two-degree-of-freedom&nbsp;analytical delta wing model. Linearization, phase plane analysis and existence theorems are used to&nbsp;describe the overall system behavior without solving the di\ufb00erential equations. A describing function&nbsp;is developed for the nonlinear system and favorably compares to the actual limit cycle amplitudes&nbsp;and frequencies. Linear pole placement and Ricatti control methods and nonlinear sliding mode and&nbsp;Lyapunov control laws are developed for stabilization and tracking.<\/p>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" style=\"margin-left: auto; margin-right: auto; text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><a href=\"http:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2012\/02\/sliding.png\" style=\"margin-left: auto; margin-right: auto;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" height=\"207\" src=\"http:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2012\/02\/sliding-300x194.png\" width=\"320\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">Sliding Mode Control Schematic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>See the full project at&nbsp;<a href=\"http:\/\/charles-oneill.com\/projects\/wingrock.pdf\">wingrock.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Numerical Single-Degree-of-Freedom Analysis and Control of an 80 Degree Delta Wing with an Analytical Roll Moment Model Charles O&#8217;Neill December 2003 This project surveys nonlinear analysis and control methods for a speci\ufb01c two-degree-of-freedom&nbsp;analytical delta wing model. Linearization, phase plane analysis and existence theorems are used to&nbsp;describe the overall system behavior without solving the di\ufb00erential equations. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":73,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/49"}],"collection":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/comments?post=49"}],"version-history":[{"count":0,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/49\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/media\/73"}],"wp:attachment":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/media?parent=49"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/categories?post=49"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/tags?post=49"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}