lec17_18

# lec17_18 - Slide 5 ME 475 Session 17 Stability Margins...

This preview shows pages 1–6. Sign up to view the full content.

Relative Stability Proximity to encirclement of - 1 is a measure of closeness to instability, i.e., relative stability. Slide 1 ME 475 Session 17: Stability Margins Galen King Purdue University Relative stability is quantified via: Gain Margin Phase Margin

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example ) 6 s )( 2 s ( s K 10 ) s ( L + + = Im s Im L Slide 2 ME 475 Session 17: Stability Margins Galen King Purdue University Re s Re L
Example s = ε e j φ ( ( 6 e 2 e e 10 lim ) s ( L j j j 0 + ε + ε ε = φ φ φ ε Slide 3 ME 475 Session 17: Stability Margins Galen King Purdue University

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example s = j ϖ : ( 29( 29 ϖ + ϖ + ϖ = ϖ j 6 j 2 j 10 ) j ( L Slide 4 ME 475 Session 17: Stability Margins Galen King Purdue University
Apply Nyquist Stability Criterion

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Slide 5 ME 475 Session 17: Stability Margins Galen King Purdue University Stability Margins • Minimum-Phase Systems: Systems for which L(s) has no zeros or poles in the right-half-plane. Slide 6 ME 475 Session 17: Stability Margins Galen King Purdue University (A system having the same transfer function with one (or more) pole or zero reflected into the RHP will always undergo larger phase shifts.) For minimum-phase systems, stability can be determined directly from open-loop freq. response....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern