Problem 44704. Damping of Servomotors with Tachometer Feedback

Created by J. S. Kowontan

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>In Control Engineering, servomotors with tachometer feedback can be modeled by the second order system</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ K / [J*s^2 + (B + K*K_v)*s + K]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Depending on the damping ratio of the servomotor, the system can be classified as underdamped, critically damped or overdamped. In this problem, you will be given the following as input:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>B - damping of servomotor (viscous and friction elements)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>J - inertia of servomotor</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>K - gain of proportional controller</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>K_v - velocity feedback constant of tachometer</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You are to correctly classify the system by returning either '</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>underdamped</w:t></w:r><w:r><w:t> ', '</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>critical</w:t></w:r><w:r><w:t> ' or '</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>overdamped</w:t></w:r><w:r><w:t> '.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

45 Solutions
20 Solvers

Last Solution submitted on Mar 01, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers20

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44704. Damping of Servomotors with Tachometer Feedback

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers20

Suggested Problems

More from this Author18

Problem Tags

Community Treasure Hunt

Problem 44704. Damping of Servomotors with Tachometer Feedback

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers20

Suggested Problems

More from this Author18

Problem Tags

Community Treasure Hunt

Players