• Prerequisite & Recommended CoRequisite 

Prerequisite Courses
ECE 301 Linear Systems
Recommended Background Courses
ECE 308 Elements Control
Recommended CoRequisite Courses
ECE 513 Digital Signal Processing
ECE 556/456 Mechatronics 
ECE 436 Digital Control System
ECE 514 Random Processes



• Grading Scheme 

Exams and homework will be based mainly on the basic material. Recommended materials will be presented once a while for your entertainment, and optional materials will be presented once a long while for your imaginations.
A. Homework (approximately 6 – 9 assignments): 25%
B. Midterm Exam: 35%
C. Final Exam: 40%
The problems of exams will be based mainly on lecture materials and the textbook.
Your Class Grade = MAX {Relative standing, Absolute standing}, where
(a) Relative standing
The whole class grade will be “curved” and your grade will be based on your relative standing in the class.
(b) Absolute standing (AS – average score)
A+: AS ³ 98% 
A: 98%> AS ³ 92% 
A: 92%> AS ³ 90% 
B+: 90% > AS ³ 88% 
B: 88% > AS ³ 82% 
B: 82% > AS ³ 80% 
C+: 80% > AS ³ 78% 
C: 78% > AS ³ 72% 
C: 72% > AS ³ 70% 
D+: 70% > AS ³ 68% 
D: 68% > AS ³ 62% 
D: 62% > AS ³ 60% 
F: 60% > AS 




• Textbook 

William L. Brogan, Modern Control Theory, 3rd Ed., Prentice Hall, ISBN: 0135897637. (Required)
References (Optional):
 The Wikibook of Automatic Control Systems And Control Systems Engineering with Classical and Modern Techniques And Advanced Concepts.
 ChiTsong Chen, Linear System Theory and Design, HRW.
 Thomas Kailath, Linear Systems, Prentice Hall.
 Katsuhiko Ogata, Modern Control Engineering, Prentice Hall.
 Donald Kirk, Optimal Control Theory  An Introduction, Prentice Hall, ISBN 136380980.
 Frank L. Lewis, Vassilis L. Syrmos, Optimal Control, 2nd ed., John Wiley & Sonc, Inc., ISBN: 0471033782.
 George M. Siouris, An Engineering Approach to Optimal Control and Estimation Theory, John Wiley & Sons, Inc., ISBN: ISBN: 9780471121268.
 Bryson & Ho, Applied Optimal Control, Hemisphere Publishing Corporation.

• Course Outline 

 General description of Systems and System Dynamics
1. The Concepts of Systems, System Dynamics and Classifications
2. Control Theory
Systems Performance
Goal: After these lectures and studies, students should have a general concept and meaning of “dynamic” systems. Hopefully, you will be fascinated with “systems and control” and are interested to find more.
 State Variables and State Space Description of Dynamic Systems
1. The Concept of State
2. State Space Representation of Dynamic Systems
3. State Equation for Dynamic Systems
4. Obtaining State Equations from InputOutput Differential Equations
Goal: After these lectures, students should know how use statespace description to model simple linear electric circuits, dc motor dynamics, transfer functions, and highorder differential equations.
 Analysis of the Equation of (Linear Time Invariant) Dynamical Systems
1. Solution of State Equations — Time domain solutions
2. Solution of Nonlinear Equations
Goal: After these lectures, students should know how to apply some basic linear algebra such as matrix operations and eigenvalues to solve linear system and control problems directly in time domain – Yes! We do not need to go to frequency domain to find the solutions.
 Controllability and Observability
1. Concepts and Definitions
2. TimeInvariant Systems
Goal: After these lectures, students should understand under what circumstance that they could solve the control problem. If so, how can they solve the problem in a professional manner.
 Nonlinear Equations and Perturbation Theory
1. Taylor Series
2. Linearization of Nonlinear Equations
Goal: After these lectures, students should know that most systems in the realworld are nonlinear, yet in most cases, we can linearize the nonlinear system and apply the linear control system design techniques learned in the class to a system to obtain good performance.
 Stability for Linear and Nonlinear Systems
1. Equilibrium Points
2. Stability Definitions
3. Linear TimeInvariant Stability
4. Nonlinear TimeInvariant Stability
Goal: After these lectures, students should feel comfortable and confident in using the word stability for control applications. They should also be able to use the techniques to test if the system is stable.
 Design of Linear Feedback Systems
1. Observer Design
2. Controller Design
Goal: After these lectures, students should be able to synthesize all the concepts and techniques learned in previous lectures to perform design work for applications.
 Brief Introduction to Optimal Control (Basic, when time permits)
1. Performance Measures
2. Dynamic Programming
3. Linear Quadratic Regulator
Goal: The session will provide the class with basic concept of optimal control, which often used along with statespace description.

• Computer and Internet Requirements 

NCSU and Engineering Online have recommended minimum specifications for computers. For details, click here.

• Instructor 

Dr. MoYuen Chow, Professor
Engineering Bldg II (COE II) 2056, Box 7911
NCSU Campus
Raleigh, NC 27695

Phone: 9195157360
Fax: 9195155523
Email: chow@ncsu.edu
Web Site: http://www4.ncsu.edu/~chow/


