University of Texas at El Paso

Department of Electrical and Computer Engineering

Course Titles: EE 4364 Systems and Controls

Class Time: Summer 2009

MTWRF: 2.00- 4.10 PM Room: C203 Catalog Data: EE 4364

Textbook: Automatic Control Systems; Benjamin C. Kuo, Prentice Hall

Instructor: Thompson Sarkodie-Gyan, Ph.D., FInstMC.

Associate Professor of Electrical and Computer Engineering

Office hours: MTWRF: 11.00 AM -12.00 Noon Or by appointment.

Goals: This course is designed to introduce advanced undergraduate students and beginning graduate students to this intrinsically diverse field of study. The course involves the understanding and

controlling segments of our environment, often called systems, in order to provide useful

economic products for the benefit of our society and humankind. Students in this course will have the unusual opportunity to perform cutting-edge,

interdisciplinary research in the field of systems and controls, on problems both theoretical and

applied.

Topics:

Introduction to controls systems

The Laplace Transform

Mathematical Models of Systems

State Variables Models

Feedback Control System Characteristics

The Performance of Feedback Control Systems

The Root Locus Method

Frequency Response Methods

Stability in the Frequency Domain.

The Design of Feedback Control Systems

The Design of State Variable Feedback Systems

Approximate Schedule:

Week/Week of Topic Reading

1

Introduction: Background and preview;

Highlights of classical control theory

Chapter1

2

The Laplace Transform

Laplace transformation,, Existence of

Chapter 2

Laplace transform, Step Function,

Ramp Function, Sinusoidal Function, Laplace transform theorem, Final-

Value theorem, Initial-Value

theorem., Inverse Laplace

transformation, Partial-Fraction Expansion.

3

The Transfer Function of Linear

Systems

Impulse response, Transfer functions of Single-Input Single Output

Systems & Multivariable Systems,

Block Diagrams, Signal-Flow Graphs, Gain Formula for SFG,

Application of the Gain Formula to

Block Diagrams

Chapter3

4

Mathematical Modeling of

Physical Systems

Electrical Systems, Mechanical Systems, Fluid Systems, Thermal

Systems

Chapter4

5

State-Variable Analysis

State variables, State-Transition Matrix/Equation, Characteristic

Equation

Chapter 5

6

State-Variable Analysis

Eigenvalues/Eigenvectors, Similarity

Transformations, Controllability, Observability

Chapter5

7

Feedback Control Systems

Characteristics

Open-and Closed Loop Control

Systems, Sensitivity of Control

Systems to Parameter Variations, Control of the Transient Response of

Control Systems.

Chapter7

8

Feedback Control Systems

Characteristics

Disturbance Signals in a Feedback

Control System, Steady-State Error,

Chapter 7

9

Feedback Control Systems

Characteristics Disturbance Signals in a Feedback

Control System, Steady-State Error

Chapter 7

10

The Performance of Feedback

Control Systems Test Input Signals, Performance of a

Chapter 7

Second-Order System, Effects of a

Third Pole and a Zero on the Second-Order System Response

11

The Performance of Feedback

Control Systems

Estimation of the Damping Ratio The Steady-State Error of Feedback

Control Systems, The Steady-State

of Non-unity Feedback Systems

Performance Indices

Chapter 7

12

The Stability of Linear Control

Systems The Concept of Stability, The Routh-

Hurwitz Stability Criterion,

Chapter 6

13

The Stability of Linear Control

Systems The relative Stability of Feedback

Control Systems

Chapter 6

14

The Root Locus Method The Root Locus Concept, Properties

and construction of the Root Loci,

Symmetry of the Root Loci, Angles

of Asymptotes of the Root Loci: Behavior of the Root Loci

Chapter 8

15

The Root Locus Method

Intersect of the Asymptotes, Angles of Departure and Angles of Arrival

of the Root Loci, Breakaway Points

on the Root Loci, Calculation of K on the Root Loci

Chapter8

16

FINAL EXAM

Course Grading:

Homework (3) 30 % (06/08-06/12; 06/15-06/19; 06/22-06/26)

Quizzes 10 % (09/09; 06/11; 06/16; 06/18; 06/23; 06/25; 06/30)

Tests (3) 30 % (06/12; 06/19; 06/26) Final Exam 30 % (07/02)

Scale: 90%-100% A

80%-89% B

70%-79% C

60%-69% D 0%-59% F

Graduate Students:

Graduate students will receive additional assignments on each homework, and will submit two projects per semester, one at mid-term and the other at the end of the semester, respectively.

Academic Dishonesty:

As an entity of The University of Texas at El Paso, the Department of Electrical and Computer Engineering is committed to the development of its students and to the promotion of personal

integrity and self-responsibility. The assumption that a student’s work is fair representation of the

student’s ability to perform forms the basis for departmental and institutional quality. All students within the Department are expected to observe appropriate standards of conduct. Acts of

scholastic dishonesty such as cheating, plagiarism, collusion, the submission for credit of any

work or materials that are attributable in the whole or in part to another person, taking an examination for another person, any act designed to give unfair advantage to a student, or the

attempt to commit such acts will not be tolerated. Any case involving academic dishonesty will

be referred to the Office of the Dean of Students. The Dean will assign a Student Judicial Affairs

Coordinator who will investigate the charge and alert the students as to its disposition. Consequences of academic dishonesty may be as severe as dismissal from the University. See the

Office of the Dean of Students’ homepage at www.utep.edu/dos/acadintg.htm for more

information.

American Disabilities Act:

If you feel you may have a disability that requires accommodations, contact the Disabled Student Services at 747-5148 or go to Room 106E Union.