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 |