GTÜElektronik Notları

Kontrol Sistemleri · Dijital ders notu

2nd/higher order systems, time-domain specs

Ders
Kontrol Sistemleri (ELEC322)
Dönem
6. Dönem · 2023–2024 Bahar
Biçim
PDF · 11 sayfa · 0,4 MB · el yazısı görünümlü LaTeX
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Control-Systems-lecture-7.pdf

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2nd/higher order systems, time-domain specs – dijital ders notunun ilk sayfası
Uyarı: Dijital notlar, el yazısı notlardan Claude (Anthropic) yardımıyla oluşturulmuştur; yardımcı kaynak olarak hazırlanmıştır ve hata içerebilir. Orijinal notları ve resmi ders kaynaklarını esas alın.
The digital notes were created from the handwritten notes with the help of Claude (Anthropic); they are meant as a supplementary resource and may contain errors. Always rely on the original notes and the official course materials.

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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

← Transient / Steady State Response (1st & 2nd order)Stability, Routh Criterion, Control Actions →

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