# Control - Lec 0 Linear-Control-Systems

```LECTURE (0)
Linear Control Systems
Asoc. Prof. Alaa Hamdy
Assist. Prof. Amr E. Mohamed
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It’s the 1st Lecture
Syllabus
Introduction to Control
2
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Instructor Information
 Asoc. Prof. Alaa Hamdy
• E-mail:
• Office hour (Room 218): Saturday &amp; Thursday
 Assist. Prof. Amr E. Mohamed
• E-mail: [email protected]
• Office hour (Room 218): Sunday &amp; Wednesday
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TA Information
…
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Course Information
 Name : Linear Control System
 Code : EEG431
 Lecture Hrs. : 3, Tutorial Hrs. : 0, and Laboratory Hrs. : 2
3
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Attendance: 5
Fifth Week Exam: 5
Midterm Exam: 25
Final: 35
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Quizzes:
Assignments:
Project:
Participation:
30
Text Book:
 “Modern Control Engineering”, 5th Edition - Katsuhiko Ogata - 2009.
4
Week
Lec.
Items/Topics
Assignments
Chapter 1 Introduction
1
1
2
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Course Description and Outline
Control Systems History and Applications
Control systems Classifications
Control Systems Terminologies
Assignment #1
Representation of Control
Systems
 Examples of control systems
Chapter 2 Mathematical Model of Systems
2
3
4
3
 Differential Equations of Physical Systems:
- D. E. of Electrical Components.
4
- D. E. of Mechanical Components
5
- D. E. of Electromechanical Components
6
 Review of Laplace Transform.
 The Transfer Function of Linear Systems
7
 Block Diagram Models
8
 Signal Flow Graph Models
Chapter 3 Feedback Control System Performance and Characteristics
9
5
10
 Introduction
 Test Input Signals
 Response of First Order Systems
Fifth week Exam
Assignment #2.1
System Modeling, Laplace
Transform and Transfer
Function
Assignment #2.2
Block Diagrams and Signal
Flow Graph Models
5
11
 Response of Second Order Systems
 Higher Order Systems Response
12
 Steady State Errors of Feedback Control Systems
13
 Stability Analysis Using Routh-Hurwitz Method
14
 Sensitivity of Control Systems to Parameter Variations
6
7
Assignment #3.1
Order Response and
2nd
Chapter 4: Analysis and Design of Control Systems using Root Locus Method
15
 Introduction
 Root Locus Construction
16
 Root Locus Examples
17
 Stability Analysis
18
 Compensation and Controller Design using Root Locus
Term Paper Assignment
8
9
Assignment #3.2
Stability Analysis and
Sensitivity of Control
Systems
19
10
Midterm Exam
20
6
Chapter 5: Analysis and Design of Control Systems using Frequency Response
Method
21
11
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Introduction
Frequency Response
Bode Plots
Gain and Phase Margins
22
 Stability Analysis
 Bandwidth and Cutoff Frequency
23
Chapter 6: Practical Control Systems Applications
24
 Antenna Azimuth Position Control System
 Control Systems History and Applications
12
Assignment #4
Root Locus Analysis
and Design
Chapter 7: State Space Representation of Control Systems
25
13
 Introduction
 The State Variables of a Dynamic System
26
 The State Differential Equation
 Alternative Block Diagram and Signal Flow Graph Models
27
 The Transfer Function from the State Equation
28
 The Time Response and the State Transition Matrix
Term Paper Submission
14
29
15
30
 Discrete Time Evaluation of The Time Response
Term Paper Presentation
Final Review
Assignment #5
Frequency Domain
Analysis and Design
Assignment #6
State Space
Representation
7
Upon successful completion of this course, the student should be able to:
1. Deduce mathematical models describing control system elements.
2. Represent a complete control system using transfer function approach.
3. Reduce control system transfer function using block diagram and signal flow
graph models.
4. Calculate the transient and steady state response of feedback control
systems.
5. Investigate the Stability of control systems.
6. Check the system stability in frequency domain.
7. Understand the root locus analysis and design of control systems.
8. Apply the analysis and design of Control system in frequency domain.
9. Represent, analyze and design of Control systems using State space approach.
10.Utilize the CAD tools (MATLAB package) to deal with all analysis and design
issues of Control system.
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9
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