ECE 421

Classical Systems and Control Theory
Spring 2006

 

You can download a .pdf version of the course syllabus.


Class Time: Tuesday and Thursday, 4:30 - 5:45 p.m., Sci. & Tech. II, Room 15, Dr. Beale

Graduate Teaching Assistant: Vijay Kadakkal
         Office Hours: Thursday, 6:30 - 8:30 p.m. and Friday, 4:30 - 6:30 p.m., Sci. & Tech. I, Room 2A

Prerequisites: Grade of C or better in ECE 220 or POI

Text: Modern Control Engineering, 4th Edition, K. Ogata, Prentice Hall, 2002, Chapters 1, 3, 5 - 9

Homework Assignments

Examples

Projects

Bibliography

Objectives

Grading

Important Dates

Course Outline

Course Calendar

Objectives:

Learn the purposes, advantages and disadvantages, terminology, and configurations of feedback control systems.
Learn ways of classifying, measuring, and analyzing the stability and performance properties of feedback control systems.
Learn various classical frequency domain and time domain techniques for designing compensators in order to improve performance in feedback systems.

Prerequisites by topic:

Knowledge of Fourier and Laplace transforms.
Ability to develop transfer functions for linear electrical circuits.
Knowledge of relationship between system poles and time- domain performance.
Knowledge of the concept of system frequency response.

Course Requirements:

Important Dates:

Test 1 -- February 21 -- Chapters 1, 3 (Sections 3.1 and 3.3), and 5 (Sections 5.1. 5.2, 5.3)
Test 2 -- March 28 -- Chapters 5 (Sections 5.7 and 5.9) and 6
Final Exam -- Tuesday, May 9, 4:30 - 7:15 p.m. -- Comprehensive, with Chapters 7, 8, 9 emphasized

Last day to drop classes without Dean's permission -- Friday, February 24
No classes March 12 - 19 due to Spring Break!!!

Course Outline:

Chapter 1 -- Introduction, what control systems are, types of control systems, examples of control systems, what feedback is and why it is used - 1-1/2 class periods.

Chapter 3 -- Block diagrams and their manipulation - 1-1/2 class periods.

Chapter 5 -- Transient analysis for systems, model and characteristics of first-order systems, model and characteristics of second-order systems, effects of control actions on system performance, stability analysis with the Routh array, steady-state errors in systems - 8 class periods.

Chapter 6 -- Closed-loop poles and their movement, concept of the root locus magnitude and phase criteria, constructing the root locus plot, properties of the root locus - 3 class periods.

Chapter 7 -- Specifications for control systems, designing compensators using the root locus, phase lag and phase lead compensators, lag-lead compensation - 4 class periods.

Chapter 8 -- Frequency response analysis, polar plots and the Nyquist stability criterion,  review of Bode plots, gain and phase margins - 4 class periods.

Chapter 9 -- Specifications for control systems, designing compensators in the frequency domain, phase lag and phase lead compensators, lag-lead compensation - 4 class periods.

Course Calendar:

Day Date Topic Chapter
Tuesday
Jan. 24
Introduction
1
Thursday
Jan. 26
Introduction and Block diagrams
1, 3
Tuesday
Jan. 31
Block diagrams
3
Thursday
Feb. 2
First-order systems
5
Tuesday
Feb. 7
Second-order systems
5
Thursday
Feb. 9
Second-order systems
5
Tuesday
Feb. 14
Second-order systems
5
Thursday
Feb. 16
Types of control actions (material not on Test #1)
5
Tuesday
Feb. 21
Test #1, Chapters 1, 3, and 5 (half)
1, 3, 5
Thursday
Feb. 23
Stability analysis with the Routh array
5
Tuesday
Feb. 28
Steady-state error
5
Thursday
March 2
Steady-state error
5
Tuesday
March 7
Introduction to pole movement, the root locus
6
Thursday
March 9
Root locus
6
Tuesday
March 14
Spring Break, No Class Today
-----
Thursday
March 16
Spring Break, No Class Today
-----
Tuesday
March 21
Root locus
6
Thursday
March 23
Introduction to compensator design (material not on Test #2)
7
Tuesday
March 28
Test #2, Chapters 5 (half) and 6
5, 6
Thursday
March 30
Compensator design using root locus
7
Tuesday
April 4
Compensator design using root locus
7
Thursday
April 6
Compensator design using root locus
7
Tuesday
April 11
Polar plots and the Nyquist stability criterion
8
Thursday
April 13
Review of Bode plots
8
Tuesday
April 18
Relative stability, gain and phase margins
8
Thursday
April 20
Gain and phase margins
8
Tuesday
April 25
Compensator design using Bode plots, phase lag
9
Thursday
April 27
Compensator design using Bode plots, phase lag, phase lead
9
Tuesday
May 2
Compensator design using Bode plots, phase lead
9
Thursday
May 4
Compensator design using Bode plots, lag-lead
9
Tuesday
May 9
Final Exam, comprehensive, Chaps. 7, 8, 9 emphasized
All

 

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Lastest revision on Wednesday, June 7, 2006 11:45 AM