1 / 24

LINEAR CONTROL SYSTEMS

LINEAR CONTROL SYSTEMS. Ali Karimpour Assistant Professor Ferdowsi University of Mashhad. Topics to be covered include : Nyquist stability criteria. Lecture 24. Nyquist stability criteria. Mapping. نگاشت. c'. d. c. 4. 2. a. a'. d'. b. b'. Mapping. نگاشت.

beatrice-berry
Download Presentation

LINEAR CONTROL SYSTEMS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LINEAR CONTROL SYSTEMS Ali Karimpour Assistant Professor Ferdowsi University of Mashhad

  2. Topics to be covered include: Nyquist stability criteria. Lecture 24 Nyquist stability criteria.

  3. Mapping نگاشت c' d c 4 2 a a' d' b b'

  4. Mapping نگاشت s=0.5 0.2 -2 1 4 4

  5. Mapping نگاشت r=0.5 1 -2 5 5

  6. r=0.5 Mapping نگاشت -2 -5 1 7 6 6

  7. Mapping نگاشت r=2.5 1 -2 7

  8. Nyquist fundamental 1+kf(s)=0 : تعداد صفرهای RHP، 1+kf(s) Nyquist path :تعداد قطبهای RHP، 1+kf(s)

  9. Nyquist fundamental Nyquist path 9

  10. Nyquist fundamental Nyquist path Nyquist plot 10

  11. Example 1: Check the stability of the following system by Nyquist method. + - -1 مثال 1: پایداری سیستم را توسط روش نایکوئیست بررسی کنید. 11

  12. + - -1 Example 1: Check the stability of the following system by Nyquist method. مثال 1: پایداری سیستم را توسط روش نایکوئیست بررسی کنید. 12

  13. Nyquist fundamental Nyquist path Nyquist plot 13

  14. مطالعه بیشتر More study + - -1 14

  15. + - -1 Example 2: Check the stability of following system by Nyquist method. مثال 2: پایداری سیستم را توسط روش نایکوئیست بررسی کنید. Very important Very important 15

  16. Example 2: Check the stability of following system by Nyquist method. + - -1 Very important پایداری سیستم را توسط روش نایکوئیست بررسی کنید. How to calculate? 16

  17. + - -1 Example 2: Check the stability of following system by Nyquist method. پایداری سیستم را توسط روش نایکوئیست بررسی کنید. 17

  18. + - -1 Example 2: Check the stability of following system by Nyquist method. پایداری سیستم را توسط روش نایکوئیست بررسی کنید. 18

  19. + - -1 مطالعه بیشتر More study 19

  20. + - ٍExample 3: Check the stability of following system from the given Nyquist plot. مثال 3: پایداری سیستم را با توجه به منحنی نایکوئیست داده شده بررسی کنید. d(s) is a polynomial. System is unstable( 1 RHP zero) System is stable System is unstable( 2 RHP zero) System is unstable( 1 RHP zero)

  21. + - ٍExample 3: Check the stability of following system from the given Nyquist plot. مثال 3: پایداری سیستم را با توجه به منحنی نایکوئیست داده شده بررسی کنید. d(s) is a polynomial. System is unstable( 1 RHP zero) System is stable System is unstable( 2 RHP zero) System is unstable( 1 RHP zero)

  22. + K G(s) - R(s) C(s) + + - - Exercises تمرینها 1- Assume the following control system Find the value of k which make the system stable. Answer: k>1 2- Consider the following control system Find the value of k which make the system stable.

  23. W=0 -1+j0 Exercises تمرینها 3- Polar plot of an open loop transfer function is shown in the following: Discuss about the stability of system. Answer: It is unstable and it has 4 unstable poles.

  24. + + - Exercises تمرینها 4- Discuss the stability of following system by Nyquist criteria..

More Related