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Kontrol Sistemleri · Dijital ders notu

Modeling: electrical systems, transfer function, state space

Ders
Kontrol Sistemleri (ELEC322)
Dönem
6. Dönem · 2023–2024 Bahar
Biçim
PDF · 11 sayfa · 0,3 MB · el yazısı görünümlü LaTeX
Orijinal not
Control-Systems-lecture-4.pdf

PDF'i aç (0,3 MB)LaTeX kaynağı (.tex)Orijinal el yazısı not

Modeling: electrical systems, transfer function, state space – 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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Differential eq for any dynamical system describes the exact response of the system for any desired input

DE → Represented (analized) in Time domain → State Space representation

Freq domain representation (Transfer function)

graphically respresented by block-diagram or signal flow graphs

General forms appearing in engineering (DE)

Electrical Systems (circuits, opamp)

Mechanical Systems (Vibration) (oscillating, gears)

Thermal and fluid system (hydrolic, pneumatic, fluid surface control, thermal)

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The order of input is less than the output

V_o : output according to the order of derivative

→ integration in time gives the response

You have to know initial conditions

RLC circuit in series

RLC circuit in parallel

Here we have the derivative of input

Methods of Complex impedences

Impedance in Series Z_eq=Σ Z_i

There is no dynamic behavior there is

summation of impedances in mesh: (R_1+Ls)

impedance of the common element: Ls

Voltage source in mesh: V

impedance on the common element ( Ls I_1 )

State space equation

2^nd order O.E s.s. 2 first order O.E

x : output 2^nd order O.E

← Block Diagram & Signal Flow GraphState Space and 2nd Order Systems →

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