SlideShare a Scribd company logo
Frequency Response
Bode Plot
• The response of the system when a sinusoidal input is provided to it.
is the frequency response.
• If a sinusoidal signal is applied as an input to a Linear Time-Invariant
(LTI) system, then it produces the steady state output, which is also a
sinusoidal signal.
• The input and output sinusoidal signals have the same frequency, but
different amplitudes and phase angles.
Frequency response
• Let us consider a stable LTI causal SISO dynamic system whose
transfer function is P(s).
𝑌(𝑠) = 𝑃(𝑠)𝑈(𝑠)
• Let us consider an input sinusoidal function as:
𝑈 𝑡 = 𝑈0𝑠𝑖𝑛𝜔𝑡 =
𝑈0𝜔
𝑠2+𝜔2
•
i.e All the poles of P(s) lies in the left half plane
• Representation of Sinusoidal transfer function: putting s=𝑗𝜔
• Steady state output equation:
• If we give sinusoidal input of frequency 𝜔 then,
• The steady state output will be sinusoidal signal of the same
frequency as that of the input, but scaled in magnitude by and
shifted in phase by
• Both magnitude and phase depend upon 𝜔
• This is a property of Linear time invariant system.
How we get P(𝑗𝜔)
• P(j𝜔) is a complex valued function how would we visualize it when 𝜔
is varied?
• With the help of the following plotting methods
BODE PLOT
We use logarithmic scale for plotting bode plots instead of linear scale
1. It can cover wide range of frequencies
2. Low frequency range can be expanded
3. Product and ratio can easily be converted into addition and
subtraction.
Building blocks of a Transfer Function
Factors which make a transfer function in numerator and denominator
• Constant ( k )
• Integral (1/s)
• Derivative term (s)
• First order term (1/Ts+1)
• First order term (Ts+1)
Let them plot individually:
.
1. Bode Plot of Constant (K)
Magnitude plot Phase plot
•
2. Bode Plot of Integral Term (1/s)
Magnitude plot Phase plot
Put w=0.1, 1 , 10
•
3. Bode plot of Derivative Term (s)
4. Bode plot of First order (
1
Ts+1
)
•
Log of 1 to
the base
10=0
conjugate
•
•
Phase plot
•
5
•
How to add them?
• At w=0.1 plot of (0.1) and (S)= -40db
• At w=1 plot of (0.1) and (S)= -20db
• At w=1 plot of (1/s+1) starts contributing
• At w=10 plot of (1/0.1s+1) starts contributing
Bode plot.pptx
Bode plot.pptx
Bode plot.pptx
Bode plot.pptx
Bode plot.pptx
Bode plot.pptx

More Related Content

Similar to Bode plot.pptx

SP_BEE2143_C1.pptx
SP_BEE2143_C1.pptxSP_BEE2143_C1.pptx
SP_BEE2143_C1.pptx
IffahSkmd
 
control engineering revision
control engineering revisioncontrol engineering revision
control engineering revision
ragu nath
 
TIME RESPONSE ANALYSIS
TIME RESPONSE ANALYSISTIME RESPONSE ANALYSIS
TIME RESPONSE ANALYSIS
Deep Chaudhari
 
5fourierseries
5fourierseries5fourierseries
5fourierseries
AhmadAkramAnuar
 
Lec11.ppt
Lec11.pptLec11.ppt
Lec11.ppt
ssuser637f3e1
 
Bode plot & System type
Bode plot & System typeBode plot & System type
Bode plot & System type
saiemsolimullah
 
Bode diagram
Bode diagramBode diagram
Bode diagram
Abdurazak Mohamed
 
CO3303-2 Lecture.ppt
CO3303-2 Lecture.pptCO3303-2 Lecture.ppt
CO3303-2 Lecture.ppt
KaterinaMantzouni2
 
frequency response
frequency responsefrequency response
frequency response
JohnJosephQuiambao
 
Bsa ppt 48
Bsa ppt 48Bsa ppt 48
Bsa ppt 48
mishradiya
 
Me314 week 06-07-Time Response
Me314 week 06-07-Time ResponseMe314 week 06-07-Time Response
Me314 week 06-07-Time Response
Dr. Bilal Siddiqui, C.Eng., MIMechE, FRAeS
 
Meeting w3 chapter 2 part 1
Meeting w3   chapter 2 part 1Meeting w3   chapter 2 part 1
Meeting w3 chapter 2 part 1
mkazree
 
Meeting w3 chapter 2 part 1
Meeting w3   chapter 2 part 1Meeting w3   chapter 2 part 1
Meeting w3 chapter 2 part 1
Hattori Sidek
 
Introduction to Digital Signal Processing (DSP) - Course Notes
Introduction to Digital Signal Processing (DSP) - Course NotesIntroduction to Digital Signal Processing (DSP) - Course Notes
Introduction to Digital Signal Processing (DSP) - Course Notes
Ahmed Gad
 
Frequency Response Techniques
Frequency Response TechniquesFrequency Response Techniques
Frequency Response Techniques
AwaisAli161
 
K11019 SAMANT SINGH
K11019 SAMANT SINGHK11019 SAMANT SINGH
K11019 SAMANT SINGH
Chetan Kumar
 
K11019(samant singh)control
K11019(samant singh)controlK11019(samant singh)control
K11019(samant singh)control
cpume
 
Lecture 2 transfer-function
Lecture 2 transfer-functionLecture 2 transfer-function
Lecture 2 transfer-function
Saifullah Memon
 
Time response analysis
Time response analysisTime response analysis
Time response analysis
Kaushal Patel
 
Chapter 10- Synchronisation.ppt
Chapter 10- Synchronisation.pptChapter 10- Synchronisation.ppt
Chapter 10- Synchronisation.ppt
mohamadfarzansabahi1
 

Similar to Bode plot.pptx (20)

SP_BEE2143_C1.pptx
SP_BEE2143_C1.pptxSP_BEE2143_C1.pptx
SP_BEE2143_C1.pptx
 
control engineering revision
control engineering revisioncontrol engineering revision
control engineering revision
 
TIME RESPONSE ANALYSIS
TIME RESPONSE ANALYSISTIME RESPONSE ANALYSIS
TIME RESPONSE ANALYSIS
 
5fourierseries
5fourierseries5fourierseries
5fourierseries
 
Lec11.ppt
Lec11.pptLec11.ppt
Lec11.ppt
 
Bode plot & System type
Bode plot & System typeBode plot & System type
Bode plot & System type
 
Bode diagram
Bode diagramBode diagram
Bode diagram
 
CO3303-2 Lecture.ppt
CO3303-2 Lecture.pptCO3303-2 Lecture.ppt
CO3303-2 Lecture.ppt
 
frequency response
frequency responsefrequency response
frequency response
 
Bsa ppt 48
Bsa ppt 48Bsa ppt 48
Bsa ppt 48
 
Me314 week 06-07-Time Response
Me314 week 06-07-Time ResponseMe314 week 06-07-Time Response
Me314 week 06-07-Time Response
 
Meeting w3 chapter 2 part 1
Meeting w3   chapter 2 part 1Meeting w3   chapter 2 part 1
Meeting w3 chapter 2 part 1
 
Meeting w3 chapter 2 part 1
Meeting w3   chapter 2 part 1Meeting w3   chapter 2 part 1
Meeting w3 chapter 2 part 1
 
Introduction to Digital Signal Processing (DSP) - Course Notes
Introduction to Digital Signal Processing (DSP) - Course NotesIntroduction to Digital Signal Processing (DSP) - Course Notes
Introduction to Digital Signal Processing (DSP) - Course Notes
 
Frequency Response Techniques
Frequency Response TechniquesFrequency Response Techniques
Frequency Response Techniques
 
K11019 SAMANT SINGH
K11019 SAMANT SINGHK11019 SAMANT SINGH
K11019 SAMANT SINGH
 
K11019(samant singh)control
K11019(samant singh)controlK11019(samant singh)control
K11019(samant singh)control
 
Lecture 2 transfer-function
Lecture 2 transfer-functionLecture 2 transfer-function
Lecture 2 transfer-function
 
Time response analysis
Time response analysisTime response analysis
Time response analysis
 
Chapter 10- Synchronisation.ppt
Chapter 10- Synchronisation.pptChapter 10- Synchronisation.ppt
Chapter 10- Synchronisation.ppt
 

Recently uploaded

Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
IJECEIAES
 
Mechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdfMechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdf
21UME003TUSHARDEB
 
Data Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason WebinarData Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason Webinar
UReason
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
Nada Hikmah
 
artificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptxartificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptx
GauravCar
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
Madan Karki
 
Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...
Prakhyath Rai
 
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by AnantLLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
Anant Corporation
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
IJECEIAES
 
People as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimalaPeople as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimala
riddhimaagrawal986
 
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
ecqow
 
Design and optimization of ion propulsion drone
Design and optimization of ion propulsion droneDesign and optimization of ion propulsion drone
Design and optimization of ion propulsion drone
bjmsejournal
 
Seminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptxSeminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptx
Madan Karki
 
Engineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdfEngineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdf
abbyasa1014
 
22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt
KrishnaveniKrishnara1
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
171ticu
 
AI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptxAI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptx
architagupta876
 
Material for memory and display system h
Material for memory and display system hMaterial for memory and display system h
Material for memory and display system h
gowrishankartb2005
 
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
Gino153088
 
Software Quality Assurance-se412-v11.ppt
Software Quality Assurance-se412-v11.pptSoftware Quality Assurance-se412-v11.ppt
Software Quality Assurance-se412-v11.ppt
TaghreedAltamimi
 

Recently uploaded (20)

Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
 
Mechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdfMechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdf
 
Data Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason WebinarData Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason Webinar
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
 
artificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptxartificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptx
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
 
Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...
 
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by AnantLLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
 
People as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimalaPeople as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimala
 
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
 
Design and optimization of ion propulsion drone
Design and optimization of ion propulsion droneDesign and optimization of ion propulsion drone
Design and optimization of ion propulsion drone
 
Seminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptxSeminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptx
 
Engineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdfEngineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdf
 
22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
 
AI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptxAI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptx
 
Material for memory and display system h
Material for memory and display system hMaterial for memory and display system h
Material for memory and display system h
 
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
 
Software Quality Assurance-se412-v11.ppt
Software Quality Assurance-se412-v11.pptSoftware Quality Assurance-se412-v11.ppt
Software Quality Assurance-se412-v11.ppt
 

Bode plot.pptx

  • 2. • The response of the system when a sinusoidal input is provided to it. is the frequency response. • If a sinusoidal signal is applied as an input to a Linear Time-Invariant (LTI) system, then it produces the steady state output, which is also a sinusoidal signal. • The input and output sinusoidal signals have the same frequency, but different amplitudes and phase angles. Frequency response
  • 3. • Let us consider a stable LTI causal SISO dynamic system whose transfer function is P(s). 𝑌(𝑠) = 𝑃(𝑠)𝑈(𝑠) • Let us consider an input sinusoidal function as: 𝑈 𝑡 = 𝑈0𝑠𝑖𝑛𝜔𝑡 = 𝑈0𝜔 𝑠2+𝜔2
  • 4. • i.e All the poles of P(s) lies in the left half plane
  • 5. • Representation of Sinusoidal transfer function: putting s=𝑗𝜔 • Steady state output equation: • If we give sinusoidal input of frequency 𝜔 then, • The steady state output will be sinusoidal signal of the same frequency as that of the input, but scaled in magnitude by and shifted in phase by • Both magnitude and phase depend upon 𝜔 • This is a property of Linear time invariant system.
  • 6. How we get P(𝑗𝜔)
  • 7. • P(j𝜔) is a complex valued function how would we visualize it when 𝜔 is varied? • With the help of the following plotting methods
  • 8. BODE PLOT We use logarithmic scale for plotting bode plots instead of linear scale 1. It can cover wide range of frequencies 2. Low frequency range can be expanded 3. Product and ratio can easily be converted into addition and subtraction.
  • 9.
  • 10.
  • 11. Building blocks of a Transfer Function Factors which make a transfer function in numerator and denominator • Constant ( k ) • Integral (1/s) • Derivative term (s) • First order term (1/Ts+1) • First order term (Ts+1) Let them plot individually:
  • 12. . 1. Bode Plot of Constant (K) Magnitude plot Phase plot
  • 13. • 2. Bode Plot of Integral Term (1/s) Magnitude plot Phase plot Put w=0.1, 1 , 10
  • 14. • 3. Bode plot of Derivative Term (s)
  • 15. 4. Bode plot of First order ( 1 Ts+1 ) • Log of 1 to the base 10=0 conjugate
  • 16.
  • 17.
  • 18.
  • 19.
  • 21. 5 •
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29. How to add them? • At w=0.1 plot of (0.1) and (S)= -40db • At w=1 plot of (0.1) and (S)= -20db • At w=1 plot of (1/s+1) starts contributing • At w=10 plot of (1/0.1s+1) starts contributing