SE 302: Linear Control Systems

Catalog Description: Linear systems,, time domain and frequency domain representations, open and closed loop systems, time and frequency domain analysis, stability, root locus, frequency response, controller design. Laboratory activities include analysis and control of physical processes as well as analog and digital simulation

Course Objectives: to learn and apply classical control engineering methodology in analyzing and designing control systems.

Prerequisite: SE 207

Textbook: Dorf and Bishop, "Modern Control Systems". 8th edition.

Attendance : University regulation will be strictly enforced.

Homework: Homework must be submitted on time. No credit will be awarded to late homework.

Grading:

10 %Attendance and Homework,Short quizzes,reading quizzes
15 % Lab activities 
10 %Quizzes  (Two 5% quizzes)
15 % Major Exam I 
20 % Major Exam II
30 % Final Exam  

 

Topics

Section

Details

# lectures

1

 

Chap. 1

Introduction to Control Systems:

Terminology, control system examples

 

2

2

 

App. E

2.3

2.4

Mathematical Preliminaries:

Review of complex variables

Linearization of nonlinear systems

Laplace Transform and solution of ODEs

5

3

 

2.5

2.6

2.7

Transfer functions:

Transfer functions

Block diagram models

Signal Flow graphs

5

4

 

4.1

4.2

4.3

4.4

4.5

4.7

5.3

5.4

5.5

5.6

5.7

Feedback control systems:

Open loop and closed loop control systems

Sensitivity to variation in parameters

Transient response

Disturbance reduction

Steady state error

Design Example

Performance of second order systems

Effect of adding poles and zeros on the response

Estimating damping ratio

Root location and transient response

Steady state error of feedback systems

5

5

6.1

6.2

6.3

System Stability:

The concept of stability

The Routh-Hurwitz criteria

Relative stability

6

6

7.2

7.3

7.4

Root Locus Techniques:

Root locus concept

Root locus procedure

Examples of analysis and design using root locus

6

7

 

8.1-8.7

9.1-9.6

 

Frequency Response methods:

Bode Plot

Nyquist plot

Phase and gain margin

Bandwidth, Nichols chart

Closed loop frequency response characteristics

9

8

 

10.2

10.3

10.4

10.8

Design of controllers:

Approaches to system design

Cascade compensation

Phase lead design

Phase lag design

6