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This document is intended for internal use only and shall not be distributed outside of GUtech
in Oman
Course Name: Control And Automation
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 2
Chapter 2
Modeling in the Frequency Domain
Copyright © 2011 by John Wiley & Sons, Inc.
Control Systems
Engineering
Sixth Edition
Norman S. Nise
Text Book
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 3
The Transfer Function
Ratio of the output transform, C(s), divided by the input transform, R(s), is called
Transfer Function, G(s).
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 4
The Transfer Function
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 5
System Response from the Transfer Function
Slide 6
Electrical Network Transfer Functions
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 7
Transfer Function- Single Loop via the Differential Equation
?
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 8
Simplified solution technique:
1. Take Laplace transform of the equations in
table 2.3 :
For capacitor
For resistor
For inductor
Transfer Function
2.
Transfer Function- Single Loop via Transform Methods
?
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 9
Transfer Function- Single Loop via Voltage Division
?
∑
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 10
Transfer Function can be
obtained by summing currents
following out of the node.
Transfer Function- Single Node via Transform Methods
i1
i2
i1+i2=0
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 11
Complex Circuits via Mesh Analysis
?
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 12
Transfer Function- Multiple Loops
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 13
Complex Circuits via Mesh Analysis
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 14
Complex Circuits via Mesh Analysis
Lecturer: Assist. Prof. Dr. Aydin Azizi
Slide 15
Complex Circuits via Mesh Analysis
Lecturer: Assist. Prof. Dr. Aydin Azizi

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Lecture#3,ch 02

  • 1. This document is intended for internal use only and shall not be distributed outside of GUtech in Oman Course Name: Control And Automation Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 2. Slide 2 Chapter 2 Modeling in the Frequency Domain Copyright © 2011 by John Wiley & Sons, Inc. Control Systems Engineering Sixth Edition Norman S. Nise Text Book Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 3. Slide 3 The Transfer Function Ratio of the output transform, C(s), divided by the input transform, R(s), is called Transfer Function, G(s). Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 4. Slide 4 The Transfer Function Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 5. Slide 5 System Response from the Transfer Function
  • 6. Slide 6 Electrical Network Transfer Functions Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 7. Slide 7 Transfer Function- Single Loop via the Differential Equation ? Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 8. Slide 8 Simplified solution technique: 1. Take Laplace transform of the equations in table 2.3 : For capacitor For resistor For inductor Transfer Function 2. Transfer Function- Single Loop via Transform Methods ? Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 9. Slide 9 Transfer Function- Single Loop via Voltage Division ? ∑ Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 10. Slide 10 Transfer Function can be obtained by summing currents following out of the node. Transfer Function- Single Node via Transform Methods i1 i2 i1+i2=0 Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 11. Slide 11 Complex Circuits via Mesh Analysis ? Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 12. Slide 12 Transfer Function- Multiple Loops Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 13. Slide 13 Complex Circuits via Mesh Analysis Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 14. Slide 14 Complex Circuits via Mesh Analysis Lecturer: Assist. Prof. Dr. Aydin Azizi
  • 15. Slide 15 Complex Circuits via Mesh Analysis Lecturer: Assist. Prof. Dr. Aydin Azizi