1. Performance of Feedback Control Systems

3. Test Input Signals:

4. Performance of a Second Order System

6. Step Input:

7. Transient response of a second-order system (Eq. 5.9) for a step input.

8. The transient response of a second-order system (Eq. 5.9) for a step input as a function of ζ and ω n t.

9. Impulse Input:

10. Response of a second-order system for an impulse function input.

11. Step response of a control system (Eq. 5.9).

12. شاخصهاي كنترل سيستم درجه دو :

13. Percent overshoot and normalized peak time versus damping ratio z for a second-order system (Eq. 5.8).

14. Normalized rise time T r1 versus ζ for a second-order system.

15. The step response for ζ = 0.2 for ω n = 1 and ω n = 10.

16. Effect of the Third Pole on the 2 nd -Order System

17. An s-plane diagram of a third-order system.

18. Effect of the Zero on the 2 nd -Order System

19. Percent overshoot as a function of ζ and ω n when a second-order transfer function contains a zero.

20. The response for the second-order transfer function with a zero for four values of the ratio (a/ζω n ): A = 5, B = 2, C = 1, and D = 0.5 when ζ =0.45.

21. ExampIe 4.1 Parameter Selection

22. Specifications and root locations on the s-plane.

24. The s-Plane Root Location and the Transient Response

26. Impulse response for various root locations in the s-plane. (The conjugate root is not shown.)

27. The Steady-State Error of Feedback Control Systems

29. H(s) = 1,

30. Step Input:

31. N=0 Step Input:

32. N>0 Step Input:

33. Ramp Input:

34. K=1

35. Acceleration Input:

36. N=2

39. Triangular wave response.

40. Control system model with a second- order model of the motor and load.

41. Response of the system to a unit step input, r(t) 1, t (a) MATLAB script.

42. Response of the system to a unit step input, r(t) 1, t (b) Response for Ka 30 and 60.

43. Performance Indices

44. ISE: IAE: ITAE: ITSE:

46. Example:

54. Step Response

56. Example: