SlideShare una empresa de Scribd logo
1 de 65
CHAPTER 9 DESIGN VIA ROOT LOCUS [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
INTRODUCTION ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
INTRODUCTION [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
IMPROVING TRANSIENT RESPONSE ,[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
IMPROVING STEADY STATE ERROR ,[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Compensators [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Configuration of Compensations [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
System Improvement Technique ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
IMPROVING STEADY-STATE ERROR VIA CASCADE COMPENSATION [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
IMPROVING TRANSIENT RESPONSE VIA CASCADE COMPENSATION [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
IMPROVING STEADY-STATE ERROR AND TRANSIENT RESPONSE [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
PI, PD, PID CONTROLLER [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
The Characteristics of P, I & D Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Mathematical Representation of Proportional Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Mathematical Representation of Integral Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Mathematical Representation of Derivative Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Mathematical Representation of PI Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
More on IDEAL INTEGRAL COMPENSATION (PI Controller) [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka - θ 1 - θ 2 - θ 3 -  θ  pc + θ zc   ≡  (2k+1)180 0
PI controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
EXAMPLE: Closed-loop system a.  before compensation; b.  after ideal integral compensation [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Root locus for uncompensated system [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Root locus for compensated system [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Ideal integral compensated  system response and the uncompensated system response of previous example [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
LAG COMPENSATION ,[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
a.  Type 1  uncompensated  system; b.  Type 1  compensated system; c.  compensator pole-zero plot [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Root locus: a.  before lag compensation; b.  after lag compensation [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
EXAMPLE [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Mathematical Representation of PD Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
More on IDEAL DERIVATIVE COMPENSATION (PD Controller) ,[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
PD controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka Using ideal derivative compensation: a.  uncompensated; b.  compensator zero at –2; c.  compensator zero at –3; d.  compensator zero at – 4
[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Predicted characteristics for the previous shown systems [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Uncompensated system and ideal derivative compensation solutions from previous table [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Example:  Feedback control system for Example 9.3 [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Root locus for uncompensated system shown in Previous Example [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Uncompensated and compensated system characteristics for Previous example [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Compensated dominant pole superimposed over the uncompensated root locus for previous example [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Evaluating the location of the compensating zero [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Root locus for the compensated system [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Uncompensated and compensated system step responses of previous example [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
LEAD COMPENSATION ,[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Geometry of lead compensation [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Three of the infinite possible lead compensator solutions [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
EXAMPLE [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Other Example [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
Mathematical Representation of PID Controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
PID Controller Design ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
PID controller [email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
LAG-LEAD COMPENSATOR DESIGN ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
FEEDBACK COMPENSATION ,[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka
PHYSICAL REALIZATION OF COMPENSATION ,[object Object],[object Object],[email_address] Fakulti Kejuruteraan Pembuatan Universiti Teknikal Malaysia Melaka

Más contenido relacionado

Destacado

Controller ppt
Controller pptController ppt
Controller ppt
gourav0077
 
Industrial Control Systems - PID Controllers
Industrial Control Systems - PID ControllersIndustrial Control Systems - PID Controllers
Industrial Control Systems - PID Controllers
Behzad Samadi
 
Design of Control System for Humanoid Robot
Design of Control System for Humanoid RobotDesign of Control System for Humanoid Robot
Design of Control System for Humanoid Robot
Rohit Bhat
 
PID Controller
PID ControllerPID Controller
PID Controller
saishah72
 

Destacado (15)

Controller ppt
Controller pptController ppt
Controller ppt
 
Quadcopter final report anand
Quadcopter final report anandQuadcopter final report anand
Quadcopter final report anand
 
Industrial Control Systems - PID Controllers
Industrial Control Systems - PID ControllersIndustrial Control Systems - PID Controllers
Industrial Control Systems - PID Controllers
 
Week 14 pid may 24 2016 pe 3032
Week  14 pid  may 24 2016 pe 3032Week  14 pid  may 24 2016 pe 3032
Week 14 pid may 24 2016 pe 3032
 
Control Systems Design- PID Tuning
Control Systems Design- PID TuningControl Systems Design- PID Tuning
Control Systems Design- PID Tuning
 
CodeRage XI international Conference: Arduino + Delphi Mobile Apps
CodeRage XI international Conference: Arduino + Delphi Mobile Apps CodeRage XI international Conference: Arduino + Delphi Mobile Apps
CodeRage XI international Conference: Arduino + Delphi Mobile Apps
 
Line Follower Robot
Line Follower RobotLine Follower Robot
Line Follower Robot
 
Algorithms and hardware designs for quadcopters
Algorithms and hardware designs for quadcoptersAlgorithms and hardware designs for quadcopters
Algorithms and hardware designs for quadcopters
 
Speed Controller for DC Motor
Speed Controller for DC MotorSpeed Controller for DC Motor
Speed Controller for DC Motor
 
Design of Control System for Humanoid Robot
Design of Control System for Humanoid RobotDesign of Control System for Humanoid Robot
Design of Control System for Humanoid Robot
 
PID Controller
PID ControllerPID Controller
PID Controller
 
PID Control
PID ControlPID Control
PID Control
 
Modern Control - Lec 06 - PID Tuning
Modern Control - Lec 06 - PID TuningModern Control - Lec 06 - PID Tuning
Modern Control - Lec 06 - PID Tuning
 
Pid controllers
Pid controllersPid controllers
Pid controllers
 
Industrial process control
Industrial process controlIndustrial process control
Industrial process control
 

Similar a Chapter 9 Design Via Root Locus

Eng_Nigah_Hussain_Packages
Eng_Nigah_Hussain_PackagesEng_Nigah_Hussain_Packages
Eng_Nigah_Hussain_Packages
Nigah Hussain
 
LinkedinSuresh Kumar S BE
LinkedinSuresh Kumar S BELinkedinSuresh Kumar S BE
LinkedinSuresh Kumar S BE
Suresh Kumar
 
Eng nigah hussain_packages
Eng nigah hussain_packagesEng nigah hussain_packages
Eng nigah hussain_packages
Nigah Hussain
 
Control and energy management of a large scale grid-connected PV system for p...
Control and energy management of a large scale grid-connected PV system for p...Control and energy management of a large scale grid-connected PV system for p...
Control and energy management of a large scale grid-connected PV system for p...
Asoka Technologies
 
Control and energy management of a large scale grid connected pv system
Control and energy management of a large scale grid connected pv systemControl and energy management of a large scale grid connected pv system
Control and energy management of a large scale grid connected pv system
Asoka Technologies
 
THASLEEM RESUME ELECTRONICS
THASLEEM RESUME ELECTRONICSTHASLEEM RESUME ELECTRONICS
THASLEEM RESUME ELECTRONICS
thasleem v
 

Similar a Chapter 9 Design Via Root Locus (20)

Eng_Nigah_Hussain_Packages
Eng_Nigah_Hussain_PackagesEng_Nigah_Hussain_Packages
Eng_Nigah_Hussain_Packages
 
RESUME KRISHNA KONERU
RESUME KRISHNA KONERURESUME KRISHNA KONERU
RESUME KRISHNA KONERU
 
PV inverter
PV inverterPV inverter
PV inverter
 
Krishna prasad fm engineer
Krishna prasad fm engineerKrishna prasad fm engineer
Krishna prasad fm engineer
 
cv ahmad new
cv ahmad newcv ahmad new
cv ahmad new
 
LinkedinSuresh Kumar S BE
LinkedinSuresh Kumar S BELinkedinSuresh Kumar S BE
LinkedinSuresh Kumar S BE
 
Eng nigah hussain_packages
Eng nigah hussain_packagesEng nigah hussain_packages
Eng nigah hussain_packages
 
mostafa kamal-cv
mostafa kamal-cvmostafa kamal-cv
mostafa kamal-cv
 
IRJET- Blended Learning Method for Medium Power Transmission Line Performance...
IRJET- Blended Learning Method for Medium Power Transmission Line Performance...IRJET- Blended Learning Method for Medium Power Transmission Line Performance...
IRJET- Blended Learning Method for Medium Power Transmission Line Performance...
 
resume
resumeresume
resume
 
Optimal SVC allocation via symbiotic organisms search for voltage security im...
Optimal SVC allocation via symbiotic organisms search for voltage security im...Optimal SVC allocation via symbiotic organisms search for voltage security im...
Optimal SVC allocation via symbiotic organisms search for voltage security im...
 
ShrihariB
ShrihariBShrihariB
ShrihariB
 
PROPOSED FAULT DETECTION ON OVERHEAD TRANSMISSION LINE USING PARTICLE SWARM ...
PROPOSED FAULT DETECTION ON OVERHEAD TRANSMISSION LINE  USING PARTICLE SWARM ...PROPOSED FAULT DETECTION ON OVERHEAD TRANSMISSION LINE  USING PARTICLE SWARM ...
PROPOSED FAULT DETECTION ON OVERHEAD TRANSMISSION LINE USING PARTICLE SWARM ...
 
proposedfaultdetectiononoverheadtransmissionlineusingparticleswarmoptimizatio...
proposedfaultdetectiononoverheadtransmissionlineusingparticleswarmoptimizatio...proposedfaultdetectiononoverheadtransmissionlineusingparticleswarmoptimizatio...
proposedfaultdetectiononoverheadtransmissionlineusingparticleswarmoptimizatio...
 
Control and energy management of a large scale grid-connected PV system for p...
Control and energy management of a large scale grid-connected PV system for p...Control and energy management of a large scale grid-connected PV system for p...
Control and energy management of a large scale grid-connected PV system for p...
 
Control and energy management of a large scale grid connected pv system
Control and energy management of a large scale grid connected pv systemControl and energy management of a large scale grid connected pv system
Control and energy management of a large scale grid connected pv system
 
THASLEEM RESUME ELECTRONICS
THASLEEM RESUME ELECTRONICSTHASLEEM RESUME ELECTRONICS
THASLEEM RESUME ELECTRONICS
 
Design and Control of Wind integrated Shunt Active Power Filter to Improve Po...
Design and Control of Wind integrated Shunt Active Power Filter to Improve Po...Design and Control of Wind integrated Shunt Active Power Filter to Improve Po...
Design and Control of Wind integrated Shunt Active Power Filter to Improve Po...
 
raj's resume @@@@
raj's resume @@@@raj's resume @@@@
raj's resume @@@@
 
Modeling of Hysteresis Current Control Technique for Three Phase PV Based VSI...
Modeling of Hysteresis Current Control Technique for Three Phase PV Based VSI...Modeling of Hysteresis Current Control Technique for Three Phase PV Based VSI...
Modeling of Hysteresis Current Control Technique for Three Phase PV Based VSI...
 

Chapter 9 Design Via Root Locus