{"id":690,"date":"2019-07-26T01:53:02","date_gmt":"2019-07-26T01:53:02","guid":{"rendered":"https:\/\/pressbooks.library.ryerson.ca\/controlsystems\/?post_type=chapter&#038;p=690"},"modified":"2021-01-12T19:24:12","modified_gmt":"2021-01-12T19:24:12","slug":"4-4-examples","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/chapter\/4-4-examples\/","title":{"raw":"4.4 Examples","rendered":"4.4 Examples"},"content":{"raw":"<h3 style=\"text-align: justify\"><strong>4.4.1 Example<\/strong><\/h3>\r\n<p style=\"text-align: justify\">Consider a unit step response of an unknown control system as shown. Find the system step response specifications. HINT: Read the required values from the plot, then compute the specifications.<\/p>\r\n<p style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-300x219.png\" alt=\"\" width=\"470\" height=\"343\" class=\"wp-image-693 aligncenter\" \/><\/p>\r\n\r\n<h3 style=\"text-align: justify\"><strong>4.4.2 Example<\/strong><\/h3>\r\n<p style=\"text-align: justify\">Consider the system described by a transfer function below. Find the system step response specifications.<\/p>\r\n<p style=\"text-align: justify\">[latex]G(s) = \\frac{20}{s^{2} + 2s + 25}[\/latex]<\/p>\r\n<p style=\"text-align: justify\">HINT: Simulate the system step response in MATLAB, plot it and read off the plot the required values.<\/p>\r\n\r\n<h3 style=\"text-align: justify\"><strong>4.4.3 Example<\/strong><\/h3>\r\n<p style=\"text-align: justify\">Consider the system described by a transfer function below. Find the system step response specifications.<\/p>\r\n<p style=\"text-align: justify\">[latex]G(s) = \\frac{55}{s^{2} + 5s + 60}[\/latex]<\/p>\r\n<p style=\"text-align: justify\">HINT: Simulate the system step response in MATLAB, plot it and read off the plot the required values.<\/p>\r\n\r\n<h3 style=\"text-align: justify\"><strong>4.4.4 Example<\/strong><\/h3>\r\n<p style=\"text-align: justify\">Consider the response of a certain control system to a unit reference signal, shown below. Read off transient (i.e. percent overshoot, rise time, etc.) as well as steady state specifications.<\/p>\r\n<p style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-300x232.png\" alt=\"\" width=\"416\" height=\"322\" class=\"wp-image-694\" \/><\/p>","rendered":"<h3 style=\"text-align: justify\"><strong>4.4.1 Example<\/strong><\/h3>\n<p style=\"text-align: justify\">Consider a unit step response of an unknown control system as shown. Find the system step response specifications. HINT: Read the required values from the plot, then compute the specifications.<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-300x219.png\" alt=\"\" width=\"470\" height=\"343\" class=\"wp-image-693 aligncenter\" srcset=\"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-300x219.png 300w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-768x561.png 768w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-65x48.png 65w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-225x164.png 225w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6-350x256.png 350w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_6.png 1003w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/p>\n<h3 style=\"text-align: justify\"><strong>4.4.2 Example<\/strong><\/h3>\n<p style=\"text-align: justify\">Consider the system described by a transfer function below. Find the system step response specifications.<\/p>\n<p style=\"text-align: justify\">[latex]G(s) = \\frac{20}{s^{2} + 2s + 25}[\/latex]<\/p>\n<p style=\"text-align: justify\">HINT: Simulate the system step response in MATLAB, plot it and read off the plot the required values.<\/p>\n<h3 style=\"text-align: justify\"><strong>4.4.3 Example<\/strong><\/h3>\n<p style=\"text-align: justify\">Consider the system described by a transfer function below. Find the system step response specifications.<\/p>\n<p style=\"text-align: justify\">[latex]G(s) = \\frac{55}{s^{2} + 5s + 60}[\/latex]<\/p>\n<p style=\"text-align: justify\">HINT: Simulate the system step response in MATLAB, plot it and read off the plot the required values.<\/p>\n<h3 style=\"text-align: justify\"><strong>4.4.4 Example<\/strong><\/h3>\n<p style=\"text-align: justify\">Consider the response of a certain control system to a unit reference signal, shown below. Read off transient (i.e. percent overshoot, rise time, etc.) as well as steady state specifications.<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-300x232.png\" alt=\"\" width=\"416\" height=\"322\" class=\"wp-image-694\" srcset=\"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-300x232.png 300w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-768x594.png 768w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-65x50.png 65w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-225x174.png 225w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7-350x271.png 350w, https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-content\/uploads\/sites\/75\/2019\/07\/fig4_7.png 956w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><\/p>\n","protected":false},"author":118,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-690","chapter","type-chapter","status-publish","hentry"],"part":664,"_links":{"self":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/chapters\/690","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/wp\/v2\/users\/118"}],"version-history":[{"count":8,"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/chapters\/690\/revisions"}],"predecessor-version":[{"id":2646,"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/chapters\/690\/revisions\/2646"}],"part":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/parts\/664"}],"metadata":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/chapters\/690\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/wp\/v2\/media?parent=690"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/pressbooks\/v2\/chapter-type?post=690"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/wp\/v2\/contributor?post=690"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/controlsystems\/wp-json\/wp\/v2\/license?post=690"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}