{"id":703,"date":"2015-08-27T06:45:23","date_gmt":"2015-08-27T06:45:23","guid":{"rendered":"http:\/\/assignmenttask.com\/tutorhelp\/?p=703"},"modified":"2022-10-12T11:19:58","modified_gmt":"2022-10-12T11:19:58","slug":"me3050-advanced-dynamics-and-control-case-study-help","status":"publish","type":"post","link":"https:\/\/assignmenttask.com\/tutorhelp\/me3050-advanced-dynamics-and-control-case-study-help\/","title":{"rendered":"ME3050 Advanced Dynamics And Control &#8211; Case Study Help"},"content":{"rendered":"<p><strong>\u00a0School of Engineering and Applied Science<\/strong><\/p>\n<p><strong>ME3050 Advanced Dynamics and Control<\/strong><\/p>\n<p><strong>Deferred\/Referred Coursework <\/strong><\/p>\n<p><strong>Summer 2015<\/strong><\/p>\n<p><strong>\u00a0<\/strong>You have been deferred or referred in ME3050. To satisfy the deferred or referred requirement you are required to provide full solutions to the following problems.<\/p>\n<p>In order that you pass this deferred or referred coursework you must provide <strong>FULL<\/strong> and <strong>HIGH<\/strong> quality solutions to <strong>BOTH<\/strong>Part ACoursework <strong>AND<\/strong> Part B Questions, answering<strong>ALL FOUR<\/strong> questions in Part B. Use of MatLab or Simulink is required for the Part A coursework assignment, and is allowed for the questions. However, answers to the questions must be written and explained, not just copied from MatLab output.<\/p>\n<p>Untidy working, lack of explanation and misuse of units <strong>WILL<\/strong> be heavily penalised.<\/p>\n<p>You may use any reference material available to you and have unlimited time to complete the questions.<\/p>\n<p>Your report, MatLab script and solutions must be scanned in and uploaded to the ME3050 Blackboard site by 26<sup>th<\/sup> August 2015.<\/p>\n<p><strong>\u00a0Part A: Coursework<\/strong><\/p>\n<h2>Assignment Brief<\/h2>\n<p>This is an individual exercise in which you will design a control system, analyse its performance and submit a brief report (5 pages maximum firm). You will design a motion control system to align the azimuth angle for a parabolic reflector for a concentrated solar collector. The reflector weighs 2.5 kg, has a moment of inertia of 6.25 kg m<sup>2<\/sup>, a collection area of 20 m<sup>2<\/sup>, and is carried by a rover that will operate remotely on Europa, the fourth largest of Jupiter\u2019s moons. The rover will need to move hundreds of kilometres over rough terrain, around obstacles and over hills and valleys.<\/p>\n<p>As the terrain has not been mapped previously, the reflector needs to be able to align itself towards the sun to maximize the power generation during daylight hours. Europa is covered in (water) ice and has a very thin atmosphere. Clouds and winds should not affect the collector. The rotation of the reflector will be controlled using a separate system, which is not part of this project. Your control system should control the azimuth angle of the reflector to maximize net power generation while the rover is moving or stationary.<\/p>\n<h3>Requirements:<\/h3>\n<p>You are required to design a suitable actuation and motion control system to align the azimuth angle of the reflector for maximum net power generation as far as is practical taking into account the power consumption of the motion control system. The system should also have the minimal weight required to perform the required task in the given environment. You should determine the optimal response of the system and design it accordingly. You should also determine the time response to impulse, step and ramp input functions. Reasonable assumptions may be made, but should be stated explicitly in the report.<\/p>\n<h3>Rules of Engagement:<\/h3>\n<ul>\n<li>This is an individual exercise. You must not share computer files.<\/li>\n<li>The assignment is to be submitted via Blackboard by the due date and time. Submissions must contain your final Matlab\/Simulink files including any scripts, functions and data files; any spreadsheets used and a report typed in Microsoft Word. These should all be zipped in to the same folder and submitted via Blackboard.<\/li>\n<\/ul>\n<h3>Marking Scheme:<\/h3>\n<ul>\n<li>This assignment is worth 20% of the module total.<\/li>\n<\/ul>\n<ul>\n<li>Design of the motor control system and meeting design requirements: [8 marks]<\/li>\n<li>Analysis of the control system performance and simulation of time response: [8 marks]<\/li>\n<li>Report \u2013 layout, focus, quality of written English, quality of figures, referencing: [4 marks]<\/li>\n<\/ul>\n<p><strong>Part B: Questions<\/strong><\/p>\n<p>Q1. The mechanism in Figure 1 below is part of a weighing balance consisting of a platform suspended above an electromagnetic actuator. Data are provided in the table.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"54\">m<\/td>\n<td width=\"141\">0.1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 kg<\/td>\n<\/tr>\n<tr>\n<td width=\"54\">k<sub>1<\/sub><\/td>\n<td width=\"141\">2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 N A<sup>-1<\/sup><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">k<sub>2<\/sub><\/td>\n<td width=\"141\">300\u00a0\u00a0\u00a0\u00a0 N m<sup>-1<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Figure 1: Actuator mechanism<\/em><\/p>\n<p>The actuator exerts an upward force <em>f<\/em> on the platform that depends on the current <em>i<\/em> applied and on the vertical position <em>z<\/em> of the platform:<\/p>\n<p><em>f = <\/em>k<sub>1<\/sub><em> i <\/em><em>&#8211;<\/em>k<sub>2<\/sub><em> z<\/em><\/p>\n<p>Mechanical damping is negligible.<\/p>\n<ol>\n<li>Write down the equation of motion for the mechanism and find the transfer function <em>G<\/em>(s) to relate the position <em>Z<\/em>(s) to the input current <em>I<\/em>(s). [6 marks]<\/li>\n<li>This mechanism is incorporated in a closed-loop feedback system designed to keep the platform at a set height, as shown below. Find the transfer function for this system.<\/li>\n<\/ol>\n<p>[5 marks]<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"28\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td>+<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td width=\"28\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td>&#8211;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>For the values of parameters given in the table below, find the value of K that will provide critical damping. [5 marks]<\/li>\n<li>Find the 2%-settling time with the value of K calculated above. [4 marks]<\/li>\n<\/ol>\n<p>Q2. Figure 2 shows a DC servo motor used to position a gun turret via a pair of gears. Parameters relating to the motor are shown in the table.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"274\">Voltage constant (=torque constant)<\/td>\n<td width=\"142\">20 rad s<sup>-1<\/sup> V<sup>-1<\/sup><\/td>\n<\/tr>\n<tr>\n<td width=\"274\">Rotary inertia<\/td>\n<td width=\"142\">0.3 kg m<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td width=\"274\">Winding resistance<\/td>\n<td width=\"142\">0.5 W<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><em>Figure 2: Gun turret and motor parameters<\/em><\/p>\n<ul>\n<li>Draw an equivalent circuit for the DC motor, neglecting inductance of the windings.<\/li>\n<\/ul>\n<p>[3 marks]<\/p>\n<ul>\n<li>Show that the transfer function <em>G<\/em>(s) relating the angular position of the turret to the voltage applied to the motor has the form<\/li>\n<\/ul>\n<p>and determine the values of the constants <em>a<\/em> and <em>b<\/em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [9 marks]<\/p>\n<p>The block diagram below shows the motor incorporated into a closed-loop system using a PI controller. Work out the closed loop transfer function for this system and determine the value of K to make the system just gounstable. [8 marks]<\/p>\n<p>Q3. (a) Find the transfer function G(s)=X<sub>2<\/sub>(s)\/F(s) for the mechanical system shown in Figure 3 below, where F(s) is the Laplace transfer of <em>f<\/em>(<em>t<\/em>) and X<sub>2<\/sub>(s)is the Laplace transfer of <em>x<sub>2<\/sub><\/em>(<em>t<\/em>).<\/p>\n<p>[12 marks]:<\/p>\n<p><em>Figure 3.Mechanical system<\/em><\/p>\n<p>(b) A system has the transfer function<\/p>\n<p>You are required to represent this system in state space as follows:<\/p>\n<p>Find the values of the coefficients of the matrices <strong>A<\/strong>, <strong>B<\/strong>and<strong>C<\/strong> [8 marks].<\/p>\n<p>Q4. Figure4 shows a two tank system. The liquid inflow into the upper tank can be controlled using a valve, with the flow through the valve represented as <em>F<sub>0<\/sub><\/em>. The outflow from the upper tank equals the inflow to the lower tank, which is represented as <em>F<sub>1<\/sub><\/em>. The outflow from the lower tanks is <em>F<sub>2<\/sub><\/em>. The objective is to control the liquid level ,<em>y<\/em>(<em>t<\/em>), of the lower tank. The open loop transfer function for this system is:<\/p>\n<p>The system will be controlled by a unity feedback loop, where the liquid level will be measured and compared to a set point. The resulting error will be fed to a controller toopen or close the valve feeding the upper tank, which modifies the flow <em>F<sub>0<\/sub><\/em>.<\/p>\n<p><em>Figure 4<\/em><\/p>\n<ol>\n<li>a) Design a lag compensator to obtain a steady state error of 10% for a step input with negligible effect on the system\u2019s transient response. [12 marks]<\/li>\n<li>b) Verify that the compensated system is stable. [4 marks]<\/li>\n<li>c) Explain briefly the advantages of lag compensation over PI compensation. [4 marks]<\/li>\n<\/ol>\n<p><u>Formula Sheet For Use In ME3050 Examinations<\/u><\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"93\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u00a0<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"206\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>where<em>u(t)<\/em> is the unit step function<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"6\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td width=\"465\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td><u>Key parameters time response<\/u><\/p>\n<p><u>\u00a0<\/u><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u00a0<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"17\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td width=\"550\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td><u>Steady-state errors<\/u><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u00a0<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"148\">Step<\/td>\n<td width=\"273\"><\/td>\n<\/tr>\n<tr>\n<td width=\"148\">Ramp<\/td>\n<td width=\"273\"><\/td>\n<\/tr>\n<tr>\n<td width=\"148\">Parabola<\/td>\n<td width=\"273\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u00a0<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"159\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td width=\"348\">\n<table width=\"100%\">\n<tbody>\n<tr>\n<td><u>Routh Criterion table<\/u><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u00a0<u>Damping ratio and phase margin: <\/u><\/strong><\/p>\n<p><a href=\"http:\/\/assignmenttask.com\/order_now.html\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-442\" src=\"http:\/\/assignmenttask.com\/tutorhelp\/wp-content\/uploads\/2015\/06\/service3.png\" alt=\"Assignment Help from Experts Australia - UK &amp; US\" width=\"807\" height=\"275\" srcset=\"https:\/\/assignmenttask.com\/tutorhelp\/wp-content\/uploads\/2015\/06\/service3.png 807w, https:\/\/assignmenttask.com\/tutorhelp\/wp-content\/uploads\/2015\/06\/service3-300x102.png 300w\" sizes=\"auto, (max-width: 807px) 100vw, 807px\" \/><\/a><\/p>\n<p style=\"text-align: center;\">\u00a0===========<strong>ABOUT ASSIGNMENT TASK<\/strong> ===========<\/p>\n<p>\u00a0<a href=\"http:\/\/assignmenttask.com\/\"><strong>AssignmentTask.com<\/strong><\/a> provides high-quality <a href=\"http:\/\/assignmenttask.com\/assignment-help.html\">assignments help<\/a> at wide range from Australia \u2013 UK &amp; USA academic experts and also guarantees to make sure delivery assignments on time @ reasonable rate. <em><strong>OUR ASSIGNMENT EXPERT WRITERS MAKES EFFORTS TO DELIVER BEST QUALITY ASSIGNMENT HELP, <\/strong><\/em><a href=\"http:\/\/assignmenttask.com\/essay-help\/\"><strong>ESSAY HELP<\/strong><\/a><em><strong>, CASE STUDY HELP AND DISSERTATION EDITING HELP<\/strong><\/em> on each Order. 100% satisfaction is our primary motto. Our customers get 24 x 7 hours live chat supports.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0School of Engineering and Applied Science ME3050 Advanced Dynamics and Control Deferred\/Referred Coursework Summer 2015 \u00a0You have been deferred or referred in ME3050. To satisfy the deferred or referred requirement you are required to provide full solutions to the following <a href=\"https:\/\/assignmenttask.com\/tutorhelp\/me3050-advanced-dynamics-and-control-case-study-help\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[319],"tags":[451,6,422,530,282,432,453,491,446,452],"class_list":["post-703","post","type-post","status-publish","format-standard","hentry","category-assignment","tag-assignment-help-tasks","tag-australia","tag-case-study-help","tag-finance","tag-management","tag-masters-in-business-administration","tag-sample-assignment-report","tag-victoria","tag-victoria-university","tag-writing-assignment-topics"],"_links":{"self":[{"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/posts\/703","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/comments?post=703"}],"version-history":[{"count":2,"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/posts\/703\/revisions"}],"predecessor-version":[{"id":983,"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/posts\/703\/revisions\/983"}],"wp:attachment":[{"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/media?parent=703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/categories?post=703"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttask.com\/tutorhelp\/wp-json\/wp\/v2\/tags?post=703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}