SlideShare ist ein Scribd-Unternehmen logo
1 von 9
ME 330 Control Systems SP 2011 Lecture 8
Nonlinear Systems ,[object Object],[object Object],spring damper
Linearization of Nonlinear Systems ,[object Object], l m ,[object Object],[object Object],l mg T inertia for simple pendulum ,[object Object]
Linear Model Response ,[object Object],from the model Laplace domain representation ,[object Object],[object Object]
Inverted Pendulum ,[object Object],Define the center of gravity coordinates  ,[object Object],[object Object],[object Object], l mg x f M
Inverted Pendulum ,[object Object], l mg V H horizontal vertical rotational horizontal f V H M
Linearization of Inverted Pendulum ,[object Object],horizontal vertical
Transfer Function Inverted Pendulum ,[object Object],[object Object]
Next Lectures ,[object Object]

Weitere ähnliche Inhalte

Was ist angesagt?

Lecture 2 transfer-function
Lecture 2 transfer-functionLecture 2 transfer-function
Lecture 2 transfer-function
Saifullah Memon
 
Lecture 4 ME 176 2 Mathematical Modeling
Lecture 4 ME 176 2 Mathematical ModelingLecture 4 ME 176 2 Mathematical Modeling
Lecture 4 ME 176 2 Mathematical Modeling
Leonides De Ocampo
 
6161103 4.11 chapter summary and review
6161103 4.11 chapter summary and review6161103 4.11 chapter summary and review
6161103 4.11 chapter summary and review
etcenterrbru
 

Was ist angesagt? (20)

Translational and Rotational system
Translational and Rotational systemTranslational and Rotational system
Translational and Rotational system
 
Control Engineering "Force Voltage Analogy"
Control Engineering "Force Voltage Analogy"Control Engineering "Force Voltage Analogy"
Control Engineering "Force Voltage Analogy"
 
Lecture 2 transfer-function
Lecture 2 transfer-functionLecture 2 transfer-function
Lecture 2 transfer-function
 
Transfer function and mathematical modeling
Transfer  function  and  mathematical  modelingTransfer  function  and  mathematical  modeling
Transfer function and mathematical modeling
 
3 summary
3 summary3 summary
3 summary
 
Lecture 4 ME 176 2 Mathematical Modeling
Lecture 4 ME 176 2 Mathematical ModelingLecture 4 ME 176 2 Mathematical Modeling
Lecture 4 ME 176 2 Mathematical Modeling
 
Math*4 Laplace and Inverse laplace transform
Math*4 Laplace and Inverse laplace transformMath*4 Laplace and Inverse laplace transform
Math*4 Laplace and Inverse laplace transform
 
System Modelling: 1st Order Models
System Modelling: 1st Order ModelsSystem Modelling: 1st Order Models
System Modelling: 1st Order Models
 
ENGINEERING MECHANICS UNIT 1 SPPU
ENGINEERING MECHANICS UNIT 1 SPPUENGINEERING MECHANICS UNIT 1 SPPU
ENGINEERING MECHANICS UNIT 1 SPPU
 
Linearization
LinearizationLinearization
Linearization
 
Av 738-Adaptive Filters - Extended Kalman Filter
Av 738-Adaptive Filters - Extended Kalman FilterAv 738-Adaptive Filters - Extended Kalman Filter
Av 738-Adaptive Filters - Extended Kalman Filter
 
Nonlinear systems
Nonlinear systemsNonlinear systems
Nonlinear systems
 
NONLINEAR CONTROL SYSTEM (Phase plane & Phase Trajectory Method)
NONLINEAR CONTROL SYSTEM(Phase plane & Phase Trajectory Method)NONLINEAR CONTROL SYSTEM(Phase plane & Phase Trajectory Method)
NONLINEAR CONTROL SYSTEM (Phase plane & Phase Trajectory Method)
 
uses of leflace transformation in the field of civil engineering by Engr mesb...
uses of leflace transformation in the field of civil engineering by Engr mesb...uses of leflace transformation in the field of civil engineering by Engr mesb...
uses of leflace transformation in the field of civil engineering by Engr mesb...
 
Equilibrium of rigid bodies
Equilibrium of rigid bodiesEquilibrium of rigid bodies
Equilibrium of rigid bodies
 
3 equilibrium of rigid bodies fe
3 equilibrium of rigid bodies fe3 equilibrium of rigid bodies fe
3 equilibrium of rigid bodies fe
 
Mechanical system
Mechanical systemMechanical system
Mechanical system
 
Differential Equation and its Application in LR circuit
Differential Equation and its Application in LR circuitDifferential Equation and its Application in LR circuit
Differential Equation and its Application in LR circuit
 
6161103 4.11 chapter summary and review
6161103 4.11 chapter summary and review6161103 4.11 chapter summary and review
6161103 4.11 chapter summary and review
 
3
33
3
 

Andere mochten auch (7)

Modeling of mechanical_systems
Modeling of mechanical_systemsModeling of mechanical_systems
Modeling of mechanical_systems
 
Raymond.Brunkow-Project-EEL-3657-Sp15
Raymond.Brunkow-Project-EEL-3657-Sp15Raymond.Brunkow-Project-EEL-3657-Sp15
Raymond.Brunkow-Project-EEL-3657-Sp15
 
Me330 lecture7
Me330 lecture7Me330 lecture7
Me330 lecture7
 
Thesis presentation on inverted pendulum
Thesis presentation on inverted pendulum Thesis presentation on inverted pendulum
Thesis presentation on inverted pendulum
 
"Just Enough" System Modeling
"Just Enough" System Modeling"Just Enough" System Modeling
"Just Enough" System Modeling
 
Mechanical system design
Mechanical system designMechanical system design
Mechanical system design
 
Linear non linear
Linear non linearLinear non linear
Linear non linear
 

Ähnlich wie Me330 lecture8

Robotics: Cartesian Trajectory Planning
Robotics: Cartesian Trajectory PlanningRobotics: Cartesian Trajectory Planning
Robotics: Cartesian Trajectory Planning
Damian T. Gordon
 
Robust control theory based performance investigation of an inverted pendulum...
Robust control theory based performance investigation of an inverted pendulum...Robust control theory based performance investigation of an inverted pendulum...
Robust control theory based performance investigation of an inverted pendulum...
Mustefa Jibril
 
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
 
modelling_mechanical.pptx
modelling_mechanical.pptxmodelling_mechanical.pptx
modelling_mechanical.pptx
Peace80
 

Ähnlich wie Me330 lecture8 (20)

Gmit cse presentation
Gmit cse presentationGmit cse presentation
Gmit cse presentation
 
Modern Control - Lec 02 - Mathematical Modeling of Systems
Modern Control - Lec 02 - Mathematical Modeling of SystemsModern Control - Lec 02 - Mathematical Modeling of Systems
Modern Control - Lec 02 - Mathematical Modeling of Systems
 
Mba Ebooks ! Edhole
Mba Ebooks ! EdholeMba Ebooks ! Edhole
Mba Ebooks ! Edhole
 
MCE 4603 LO1 Handout 3-1(1).pptx
MCE 4603  LO1 Handout 3-1(1).pptxMCE 4603  LO1 Handout 3-1(1).pptx
MCE 4603 LO1 Handout 3-1(1).pptx
 
Cs handouts(r18)
Cs handouts(r18)Cs handouts(r18)
Cs handouts(r18)
 
4773390
47733904773390
4773390
 
Robotics: Cartesian Trajectory Planning
Robotics: Cartesian Trajectory PlanningRobotics: Cartesian Trajectory Planning
Robotics: Cartesian Trajectory Planning
 
Robust control theory based performance investigation of an inverted pendulum...
Robust control theory based performance investigation of an inverted pendulum...Robust control theory based performance investigation of an inverted pendulum...
Robust control theory based performance investigation of an inverted pendulum...
 
3. Concept of pole and zero.pptx
3. Concept of pole and zero.pptx3. Concept of pole and zero.pptx
3. Concept of pole and zero.pptx
 
EC2255-_Control_System_Notes_solved_prob(1).pdf
EC2255-_Control_System_Notes_solved_prob(1).pdfEC2255-_Control_System_Notes_solved_prob(1).pdf
EC2255-_Control_System_Notes_solved_prob(1).pdf
 
EC2255-_Control_System_Notes_solved_prob.pdf
EC2255-_Control_System_Notes_solved_prob.pdfEC2255-_Control_System_Notes_solved_prob.pdf
EC2255-_Control_System_Notes_solved_prob.pdf
 
Laplace transform
Laplace transformLaplace transform
Laplace transform
 
Laplace transform
Laplace transformLaplace transform
Laplace transform
 
Me330 lecture2
Me330 lecture2Me330 lecture2
Me330 lecture2
 
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
 
Control system note for 6th sem electrical
Control system note for 6th sem electricalControl system note for 6th sem electrical
Control system note for 6th sem electrical
 
Lect 2 bif_th
Lect 2 bif_thLect 2 bif_th
Lect 2 bif_th
 
Week 8 Systems and Control.ppt
Week 8 Systems and Control.pptWeek 8 Systems and Control.ppt
Week 8 Systems and Control.ppt
 
modelling_mechanical.pptx
modelling_mechanical.pptxmodelling_mechanical.pptx
modelling_mechanical.pptx
 

Kürzlich hochgeladen

Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 

Kürzlich hochgeladen (20)

Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdfRising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
 
AXA XL - Insurer Innovation Award Americas 2024
AXA XL - Insurer Innovation Award Americas 2024AXA XL - Insurer Innovation Award Americas 2024
AXA XL - Insurer Innovation Award Americas 2024
 
2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...
 
Strategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a FresherStrategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a Fresher
 
Exploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone ProcessorsExploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone Processors
 
Exploring Multimodal Embeddings with Milvus
Exploring Multimodal Embeddings with MilvusExploring Multimodal Embeddings with Milvus
Exploring Multimodal Embeddings with Milvus
 
Spring Boot vs Quarkus the ultimate battle - DevoxxUK
Spring Boot vs Quarkus the ultimate battle - DevoxxUKSpring Boot vs Quarkus the ultimate battle - DevoxxUK
Spring Boot vs Quarkus the ultimate battle - DevoxxUK
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of Terraform
 
Apidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, Adobe
Apidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, AdobeApidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, Adobe
Apidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, Adobe
 
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemkeProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
 
Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...
Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...
Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...
 
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot TakeoffStrategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
 
Axa Assurance Maroc - Insurer Innovation Award 2024
Axa Assurance Maroc - Insurer Innovation Award 2024Axa Assurance Maroc - Insurer Innovation Award 2024
Axa Assurance Maroc - Insurer Innovation Award 2024
 
FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024
 
Cyberprint. Dark Pink Apt Group [EN].pdf
Cyberprint. Dark Pink Apt Group [EN].pdfCyberprint. Dark Pink Apt Group [EN].pdf
Cyberprint. Dark Pink Apt Group [EN].pdf
 
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 AmsterdamDEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
 
Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...
Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...
Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...
 

Me330 lecture8