1 / 16

Control Theory

Control Theory. Session 5 – Transfer Functions. Transfer function of . A B C None of the above. A. B. [Default] [MC Any] [MC All]. C. Step response of. z(t). A. t. B. Definition of step response: Δ z(t) if Δ u(t) is a step of size 1. A, B on previous graph?. A=2, B=3

abrial
Download Presentation

Control Theory

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. ControlTheory Session 5 – Transfer Functions

  2. Transfer function of • A • B • C • None of the above A B [Default] [MC Any] [MC All] C

  3. Step response of z(t) A t B Definition of step response: Δz(t) ifΔu(t) is a step of size 1

  4. A, B on previous graph? • A=2, B=3 • A=2, B=6 • A=4, B=6 • None of the above [Default] [MC Any] [MC All]

  5. Standard form of first order TF Step response:

  6. Second order processes Typicalexample: mass-spring-damper z(t) u(t) (set-up in a horizontal plane, spring in rest positionwhen x=0)

  7. The step response of the m-c-k • Will oscillate • Will not oscillate • Might oscillate, depending on the values of m,cand k [Default] [MC Any] [MC All]

  8. The step response will oscillate if • Thatdoesn’tdependon [Default] [MC Any] [MC All]

  9. Standard form of second order TF

  10. Step respones of 2nd order processes >1: Overdamped =1: Critically damped = fastest without oscillations <1: Underdamped: Oscillations! +

  11. The step response of anunderdamped 2nd order system • Shows no overshoot • Shows overshoot of which the sizedependsonnbutnoton • Shows overshoot of which the sizedependson butnoton n • Shows overshoot of which the sizedependson and n [Default] [MC Any] [MC All]

  12. Overshoot in 2nd order systems

  13. Overshoot in 2nd order systems

  14. Group Task m=1 [kg] k=1 [N/m] Find the TF and plot the step response for c= 4 [Ns/m] c=2 [Ns/m] c=1 [Ns/m]

  15. Group Task 2 m=1 [kg] k=1 [N/m] Can we nowadd a P controller and calculate the Transfer function of the closed loop? (by the way, what’s the transfer function of a P controller?)

More Related