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Class July 22 nd :

Class July 22 nd :. LAST HW & solution: Bode plot, posted Submit Lab #3 & #4 reports TEST Schedule: Exam IV: 7/24, open book Final: 7/29, b ased on previous 4 tests  Ask me using SPSU email after Exam IV if you want to know your class standing/grade before the Final.

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Class July 22 nd :

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  1. Class July 22nd: • LAST HW& solution: Bode plot, posted • Submit Lab#3 & #4 reports • TEST Schedule: • Exam IV: 7/24, open book • Final: 7/29, based on previous 4 tests  Ask me using SPSU email after Exam IV if you want to know your class standing/grade before the Final

  2. System Response in Frequency Domain

  3. Responses in Frequency Domain

  4. Nyquist & Bode Diagrams

  5. Nyquist: Polar Plot of G(jw)∙H(jw) in the Complex Plane

  6. Mathematical Backgrounds – Bode Diagram • Complex Numbers • Logarithm • Bode Diagram • Magnitude: 20 log M • Phase: ф Format:

  7. Constant

  8. Single pole or zero, s = 0 (i.e. at the origin), 20dB/decade

  9. Single pole or zero, 20dB/decade

  10. Bode Plot: Magnitude, 20dB/decade  per Order 40dB/decade

  11. Bode Plots: Actual & Asymptotic 20dB/decade

  12. Bode Diag.: Phase • Constants • Pole(s) & Zero(s) at the origin • Non-zero real Pole(s) & Zero(s)

  13. Bode Plots: Actual & Asymptotic 450/decade

  14. Bode Plot: Phase, 450/decade  per Order 900/decade

  15. EX. 1: Bode Plot Numerator,N(jw) Denominator,D(jw)

  16. Magnitude

  17. Phase

  18. EX.2: Bode Plot

  19. EX.2: Bode Plot

  20. Phase

  21. EX.3:

  22. Magnitude

  23. Phase

  24. Gain & Phase Margin

  25. Other Examples at HOME • Example 10.2 in the textbook

  26. EX.4:

  27. EX: Bode Plot

  28. Dynamic System & Control Design U(s) Dynamics Model & Sys. Knowledge Mathematics Control (T.F.)

  29. Dynamic System & Control Design U(s) (T.F.) • Modeling of dynamic systems • System characteristics & response (performance) • Control designs

  30. EE4201: Learned • Modeling of linear dynamics systems: ODE  L.F.  T.F. • System characteristics & stability: C.E. Q(s) = 0 • Control system design: analytically & graphically IN3: Technical Insight, Inspiration & Intuition to solve a problem

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