1


    ELEC3114 : Control Systems
Course convener:      Dr. Branislav Hredzak, Room 204,
                      54895, b.hredzak@unsw.edu.au

Consultations:         Students are encouraged to use the open
consultation hour rather than contact by email; students may seek
consultation with the course convener at other times by
appointment.
Contact hours:        The course consists of:
•   3 hours of lectures per week,
•   1 hour of tutorial every two weeks
•   3 hours of laboratory every two weeks

                                                          Dr Branislav Hredzak
                                                  Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                    Copyright © 2004 by John Wiley & Sons. All rights reserved.
2



•   Tutorials start in Week 4.
•   Laboratory starts in Week 2.
•   Consultation sessions start in Week 3.


Lectures
The lecture times will largely be used for formal lectures and
some will be used for short quizzes. The lectures will cover the
same topics as in the text book, so lecture notes will not be
distributed. It is your responsibility to make your own notes. You
are expected to attend the lectures and prepare yourself for them.




                                                          Dr Branislav Hredzak
                                                  Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                    Copyright © 2004 by John Wiley & Sons. All rights reserved.
3



Tutorials
You are expected to attend the tutorials and are expected to
attempt to solve given tutorial questions before attending the
tutorial.

Laboratories
The laboratory sessions will focus on your learning about the
equipment and what the control issues really are. You will be
expected to be competent in the lab by the end of the course. Most
laboratory sessions will be flexible in that you may work in
groups or individually, helping each other and consulting the
demonstrators to the extent you need. However, you will be tested
individually on what you have learned in the laboratory sessions.



                                                           Dr Branislav Hredzak
                                                   Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                     Copyright © 2004 by John Wiley & Sons. All rights reserved.
4

Assessment
There are three components of the assessment in this course:

Final examination (65%) - The final examination is a standard
closed-book three hours written examination. The examination
will test knowledge and understanding of all major aspects
covered in the course.

Laboratory test (15%) - A practical test will be run during the
laboratory time in weeks 12 and 13.

Quizzes (20%) – There will be two short quizzes conducted
during the lecture times in Week 5 (10%) and Week 10
(10%). You will be advised of exact timing.


                                                          Dr Branislav Hredzak
                                                  Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                    Copyright © 2004 by John Wiley & Sons. All rights reserved.
5




Note:
•   Requests for lab exemptions must be submitted by the end of
    Week 2. If the lab exemption is granted, then the exam
    weightage will be increased by the lab test weightage (15%)


•    If a student has a valid reason not to attend a quiz then the
    exam weightage will be increased by the quiz weightage
    (10%).


•   Students who are unable to attend a lab session must arrange
    for a make-up lab session with the lab demonstrator.


                                                            Dr Branislav Hredzak
                                                    Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                      Copyright © 2004 by John Wiley & Sons. All rights reserved.
6



Prescribed textbook

The following textbook is prescribed for the course:

N. S. Nise, Control Systems Engineering, John Wiley & Sons, 4th
Edition (5th Edition)

Students are strongly encouraged to purchase a copy of this book
as it provides coverage of the topics in the syllabus. Lecture notes
will not be handed out.




                                                            Dr Branislav Hredzak
                                                    Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                      Copyright © 2004 by John Wiley & Sons. All rights reserved.
7




Online resources

Some additional on-line resources relevant to the course:

Resource:

Blackboard http://lms-
blackboard.telt.unsw.edu.au/webapps/portal/frameset.jsp

book website        http://www.wiley.com/college/nise
MATLAB              http://www.mathworks.com
library resources   http://info.library.unsw.edu.au/web/
       services/teaching.html


                                                          Dr Branislav Hredzak
                                                  Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                    Copyright © 2004 by John Wiley & Sons. All rights reserved.
8




MATLAB

A CD containing Matlab may be borrowed overnight (against a
student card) from room EE G15A. For those students who do
not have their own computers, access to these two programs is
available in the undergraduate computer laboratory (EE G16).




                                                       Dr Branislav Hredzak
                                               Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                 Copyright © 2004 by John Wiley & Sons. All rights reserved.
9



Course Schedule
Lectures

Week                               Topic(s)
 1     Introduction, Modelling in the Frequency Domain
 2     Modelling in the Frequency Domain
 3     Modelling in the Time Domain
 4     Time Response
 5     Reduction of Multiple Subsystems
 6     Stability
 7     Steady-State Errors
 8     Root Locus Techniques
 9     Design via Root Locus
 10    Frequency Response Techniques
 11    Design via Frequency Response
 12    Design via State Space




                                                                 Dr Branislav Hredzak
                                                         Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                           Copyright © 2004 by John Wiley & Sons. All rights reserved.
10



Laboratory sessions
- will be flexible in that you may work in groups or individually,
helping each other and consulting the demonstrators to the extent
you need. However, you will be tested individually on what you
have learned in the laboratory sessions.

   Lab schedule:
   Laboratory 1    Week 2, 3     Assignments 1, 2, 3
   Laboratory 2    Week 4, 5     Assignments 4, 5
   Laboratory 3    Week 6, 7     Assignments 6, 7
   Laboratory 4    Week 8, 9     Assignments 8, 9
   Laboratory 5    Week 10, 11   Assignments 10, 11
   Laboratory 6    Week 12, 13   Test


                                                          Dr Branislav Hredzak
                                                  Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                    Copyright © 2004 by John Wiley & Sons. All rights reserved.
11

                    Introduction


•   Control system applications
•   How you can benefit from studying control systems
    The basic features and configurations of control
    systems
•   Analysis and design objectives
•   The design process




                                                      Dr Branislav Hredzak
                                              Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                Copyright © 2004 by John Wiley & Sons. All rights reserved.
12

Introduction




                       Dr Branislav Hredzak
               Control Systems Engineering, Fourth Edition by Norman S. Nise
                 Copyright © 2004 by John Wiley & Sons. All rights reserved.
13

                        Introduction

•   a control system provides an output or response for a
    given input or stimulus




                 Simplified description of a control system




                                                                      Dr Branislav Hredzak
                                                              Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                                Copyright © 2004 by John Wiley & Sons. All rights reserved.
14

                    Introduction

Advantages of Control Systems

1.   Power amplification (a radar antenna)
2.   Remote control (robots)
3.   Convenience of input form (temperature control)
4.   Compensation for disturbances




                                                    Dr Branislav Hredzak
                                            Control Systems Engineering, Fourth Edition by Norman S. Nise
                                              Copyright © 2004 by John Wiley & Sons. All rights reserved.
15

Response Characteristics and System
          Configurations




                                     Dr Branislav Hredzak
                             Control Systems Engineering, Fourth Edition by Norman S. Nise
                               Copyright © 2004 by John Wiley & Sons. All rights reserved.
16


Two major configurations of control systems:
•   open loop - does not correct for disturbances and is commanded by the
    input (eg toaster)




•   closed loop - compensates for disturbances by measuring the output
    response, feeding that measurement back through a feedback path, and
    comparing that response to the input at the summing junction.




                                                                Dr Branislav Hredzak
                                                        Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                          Copyright © 2004 by John Wiley & Sons. All rights reserved.
17

              Analysis and Design Objectives

          •   Control system responds to an input by
              undergoing a transient response before reaching a
              steady-state response

There are several major objectives of systems analysis and design:

1.   producing the desired transient response
2.   reducing steady-state error
3.   achieving stability
4.    robust design




                                                           Dr Branislav Hredzak
                                                   Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                     Copyright © 2004 by John Wiley & Sons. All rights reserved.
18

Stability




            •   Natural response is dependent only on the
                system, not the input

            •   Forced response is dependent on the input.


 In a control system, the natural response must:
 (1) eventually approach zero, thus leaving only the forced
     response, or (2) oscillate.

                                                         Dr Branislav Hredzak
                                                 Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                   Copyright © 2004 by John Wiley & Sons. All rights reserved.
19

     Antenna Azimuth: An lntroduction to
          Position Control Systems
•   converts a position input command to a position output
    response




                  Antenna azimuth position control system




                                                                    Dr Branislav Hredzak
                                                            Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                              Copyright © 2004 by John Wiley & Sons. All rights reserved.
20

Antenna Azimuth




                          Dr Branislav Hredzak
                  Control Systems Engineering, Fourth Edition by Norman S. Nise
                    Copyright © 2004 by John Wiley & Sons. All rights reserved.
21

    Antenna Azimuth




Response of a position control system
showing effect of high and low
controller gain on the output response           Dr Branislav Hredzak
                                         Control Systems Engineering, Fourth Edition by Norman S. Nise
                                           Copyright © 2004 by John Wiley & Sons. All rights reserved.
22

The Design Process




 The control system design process




                                             Dr Branislav Hredzak
                                     Control Systems Engineering, Fourth Edition by Norman S. Nise
                                       Copyright © 2004 by John Wiley & Sons. All rights reserved.
23

    The Design Process (Antenna Azimuth)




Step 1: Transform Requirements into a Physical System
•   Requirements: desire to position the antenna from a remote
    location; weight, dimensions of the system

•   Design specifications: desired transient response, steady-
    state accuracy



                                                        Dr Branislav Hredzak
                                                Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                  Copyright © 2004 by John Wiley & Sons. All rights reserved.
24

    The Design Process (Antenna Azimuth)




Step 2: Draw a Functional Block Diagram




                                                  Dr Branislav Hredzak
                                          Control Systems Engineering, Fourth Edition by Norman S. Nise
                                            Copyright © 2004 by John Wiley & Sons. All rights reserved.
25

   The Design Process (Antenna Azimuth)




Step 3: Create a Schematic




                                      Dr Branislav Hredzak
                              Control Systems Engineering, Fourth Edition by Norman S. Nise
                                Copyright © 2004 by John Wiley & Sons. All rights reserved.
26

     The Design Process (Antenna Azimuth)




Step 4: Develop a Mathematical Model (Block Diagram)

 •   Use physical laws, such as Kirchhoff's laws for electrical
     networks and Newton's law for mechanical systems

 •   Mathematical models can be described using
              1. Differential equations
              2. Laplace transform
              3. State-space representation

                                                        Dr Branislav Hredzak
                                                Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                  Copyright © 2004 by John Wiley & Sons. All rights reserved.
27

    The Design Process (Antenna Azimuth)




Step 5: Reduce the Block Diagram
•   In order to evaluate the system response we reduce the large system's
    block diagram to a single block with a mathematical description that
    represents the system from its input to its output




                  Equivalent block diagram for the antenna azimuth
                  position control system



                                                                        Dr Branislav Hredzak
                                                                Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                                  Copyright © 2004 by John Wiley & Sons. All rights reserved.
28

    The Design Process (Antenna Azimuth)




Step 6: Analyze and Design

•   analyze the system to see if the response specifications and performance
    requirements can be met by simple adjustments of system parameters

•   if specifications cannot be met, the designer designs additional
    hardware in order to achieve a desired performance




                                                                Dr Branislav Hredzak
                                                        Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                          Copyright © 2004 by John Wiley & Sons. All rights reserved.
29

Step 6: Analyze and Design
              Test waveforms used in control systems




                                                               Dr Branislav Hredzak
                                                       Control Systems Engineering, Fourth Edition by Norman S. Nise
                                                         Copyright © 2004 by John Wiley & Sons. All rights reserved.

01 elec3114

  • 1.
    1 ELEC3114 : Control Systems Course convener: Dr. Branislav Hredzak, Room 204, 54895, b.hredzak@unsw.edu.au Consultations: Students are encouraged to use the open consultation hour rather than contact by email; students may seek consultation with the course convener at other times by appointment. Contact hours: The course consists of: • 3 hours of lectures per week, • 1 hour of tutorial every two weeks • 3 hours of laboratory every two weeks Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 2.
    2 • Tutorials start in Week 4. • Laboratory starts in Week 2. • Consultation sessions start in Week 3. Lectures The lecture times will largely be used for formal lectures and some will be used for short quizzes. The lectures will cover the same topics as in the text book, so lecture notes will not be distributed. It is your responsibility to make your own notes. You are expected to attend the lectures and prepare yourself for them. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 3.
    3 Tutorials You are expectedto attend the tutorials and are expected to attempt to solve given tutorial questions before attending the tutorial. Laboratories The laboratory sessions will focus on your learning about the equipment and what the control issues really are. You will be expected to be competent in the lab by the end of the course. Most laboratory sessions will be flexible in that you may work in groups or individually, helping each other and consulting the demonstrators to the extent you need. However, you will be tested individually on what you have learned in the laboratory sessions. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 4.
    4 Assessment There are threecomponents of the assessment in this course: Final examination (65%) - The final examination is a standard closed-book three hours written examination. The examination will test knowledge and understanding of all major aspects covered in the course. Laboratory test (15%) - A practical test will be run during the laboratory time in weeks 12 and 13. Quizzes (20%) – There will be two short quizzes conducted during the lecture times in Week 5 (10%) and Week 10 (10%). You will be advised of exact timing. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 5.
    5 Note: • Requests for lab exemptions must be submitted by the end of Week 2. If the lab exemption is granted, then the exam weightage will be increased by the lab test weightage (15%) • If a student has a valid reason not to attend a quiz then the exam weightage will be increased by the quiz weightage (10%). • Students who are unable to attend a lab session must arrange for a make-up lab session with the lab demonstrator. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 6.
    6 Prescribed textbook The followingtextbook is prescribed for the course: N. S. Nise, Control Systems Engineering, John Wiley & Sons, 4th Edition (5th Edition) Students are strongly encouraged to purchase a copy of this book as it provides coverage of the topics in the syllabus. Lecture notes will not be handed out. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 7.
    7 Online resources Some additionalon-line resources relevant to the course: Resource: Blackboard http://lms- blackboard.telt.unsw.edu.au/webapps/portal/frameset.jsp book website http://www.wiley.com/college/nise MATLAB http://www.mathworks.com library resources http://info.library.unsw.edu.au/web/ services/teaching.html Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 8.
    8 MATLAB A CD containingMatlab may be borrowed overnight (against a student card) from room EE G15A. For those students who do not have their own computers, access to these two programs is available in the undergraduate computer laboratory (EE G16). Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 9.
    9 Course Schedule Lectures Week Topic(s) 1 Introduction, Modelling in the Frequency Domain 2 Modelling in the Frequency Domain 3 Modelling in the Time Domain 4 Time Response 5 Reduction of Multiple Subsystems 6 Stability 7 Steady-State Errors 8 Root Locus Techniques 9 Design via Root Locus 10 Frequency Response Techniques 11 Design via Frequency Response 12 Design via State Space Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 10.
    10 Laboratory sessions - willbe flexible in that you may work in groups or individually, helping each other and consulting the demonstrators to the extent you need. However, you will be tested individually on what you have learned in the laboratory sessions. Lab schedule: Laboratory 1 Week 2, 3 Assignments 1, 2, 3 Laboratory 2 Week 4, 5 Assignments 4, 5 Laboratory 3 Week 6, 7 Assignments 6, 7 Laboratory 4 Week 8, 9 Assignments 8, 9 Laboratory 5 Week 10, 11 Assignments 10, 11 Laboratory 6 Week 12, 13 Test Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 11.
    11 Introduction • Control system applications • How you can benefit from studying control systems The basic features and configurations of control systems • Analysis and design objectives • The design process Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 12.
    12 Introduction Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 13.
    13 Introduction • a control system provides an output or response for a given input or stimulus Simplified description of a control system Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 14.
    14 Introduction Advantages of Control Systems 1. Power amplification (a radar antenna) 2. Remote control (robots) 3. Convenience of input form (temperature control) 4. Compensation for disturbances Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 15.
    15 Response Characteristics andSystem Configurations Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 16.
    16 Two major configurationsof control systems: • open loop - does not correct for disturbances and is commanded by the input (eg toaster) • closed loop - compensates for disturbances by measuring the output response, feeding that measurement back through a feedback path, and comparing that response to the input at the summing junction. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 17.
    17 Analysis and Design Objectives • Control system responds to an input by undergoing a transient response before reaching a steady-state response There are several major objectives of systems analysis and design: 1. producing the desired transient response 2. reducing steady-state error 3. achieving stability 4. robust design Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 18.
    18 Stability • Natural response is dependent only on the system, not the input • Forced response is dependent on the input. In a control system, the natural response must: (1) eventually approach zero, thus leaving only the forced response, or (2) oscillate. Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 19.
    19 Antenna Azimuth: An lntroduction to Position Control Systems • converts a position input command to a position output response Antenna azimuth position control system Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 20.
    20 Antenna Azimuth Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 21.
    21 Antenna Azimuth Response of a position control system showing effect of high and low controller gain on the output response Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 22.
    22 The Design Process The control system design process Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 23.
    23 The Design Process (Antenna Azimuth) Step 1: Transform Requirements into a Physical System • Requirements: desire to position the antenna from a remote location; weight, dimensions of the system • Design specifications: desired transient response, steady- state accuracy Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 24.
    24 The Design Process (Antenna Azimuth) Step 2: Draw a Functional Block Diagram Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 25.
    25 The Design Process (Antenna Azimuth) Step 3: Create a Schematic Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 26.
    26 The Design Process (Antenna Azimuth) Step 4: Develop a Mathematical Model (Block Diagram) • Use physical laws, such as Kirchhoff's laws for electrical networks and Newton's law for mechanical systems • Mathematical models can be described using 1. Differential equations 2. Laplace transform 3. State-space representation Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 27.
    27 The Design Process (Antenna Azimuth) Step 5: Reduce the Block Diagram • In order to evaluate the system response we reduce the large system's block diagram to a single block with a mathematical description that represents the system from its input to its output Equivalent block diagram for the antenna azimuth position control system Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 28.
    28 The Design Process (Antenna Azimuth) Step 6: Analyze and Design • analyze the system to see if the response specifications and performance requirements can be met by simple adjustments of system parameters • if specifications cannot be met, the designer designs additional hardware in order to achieve a desired performance Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.
  • 29.
    29 Step 6: Analyzeand Design Test waveforms used in control systems Dr Branislav Hredzak Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.