Control Systems · Digital lecture note
Lecture 7 – 2nd/higher order systems, time-domain specs
Kontrol Sistemleri – 2nd/higher order systems, time-domain specs
- Course
- Control Systems (ELEC322)
- Semester
- Semester 6 · Spring 2023–24
- Format
- PDF · 11 pages · 0.4 MB · handwriting-style LaTeX
- Language
- Turkish
- Original note
- Control-Systems-lecture-7.pdf
Open the PDF (0.4 MB)LaTeX source (.tex)Original handwritten note
What is in this note?
Section headings of the note (in Turkish):
- In second order eq
- Higher order Systems
- Quality of response
- SISO Tool Matlab
- Find for the given C.L.T.F
Text of the note
Show as plain text (Turkish; formulas and drawings are not included)
In second order eq
Higher order Systems
Step inputs are mostly used in analysis.
If the poles are real and distinct
If U(s) is unity (impulse)
if poles are not all real valued
`q' poles are real valued
`2r' poles are complex valued
zero and pole cancelation
if poles go most further to the jω axis the residues decrease
Quality of response
→ it focus on how we get to the steady state response
& later we'll be covering accuracy and stability of response as well.
=1 critically damped case
settles down (gets to the final response) in the minimum amount of time
e^-ω_n t_r can not be zero in finite time
M_p and t_r are contradictory !!
Step response of a 2^nd order system is given
find the approximate T.F
C(s)R(s)=ks^2+as+k for step input
SISO Tool Matlab
Find the specific location of poles on the s plane
Find for the given C.L.T.F.
with negative real part
The system is combine of 2 second degree systems
by looking to the dominant poles 2 can be found