ECE 516 System Control Engineering

This course focuses on the analysis and design of systems control. This course will introduce time-domain systems dynamic control fundamentals and their design issues for electrical engineering applications. Emphasis will be on linear, time-invariant, multi-input multi-output continuous time systems. Topics include open and closed-loop state-space representations, analytical solutions, computer simulations, stability, controllability, observability, pole-placement controller/observer design, and brief introduction to optimal control. ECE 301 (Linear Systems) or equivalent is the pre-requisite for this course. A strong background in linear algebra and differential equations is not required but is highly recommended. The MATLAB/SIMULINK computer software package will be used extensively to assist in the understanding of concepts and fundamentals of system dynamics and control, and also to analyze and design control systems. 3 credit hours.


• Prerequisite & Recommended Co-Requisite

Prerequisite Courses
ECE 301 Linear Systems

Recommended Background Courses
ECE 308 Elements Control

Recommended Co-Requisite 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. Mid-term 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: 0-13-589763-7. (Required)

References (Optional):

  1. The Wikibook of Automatic Control Systems And Control Systems Engineering with Classical and Modern Techniques And Advanced Concepts.
  2. Chi-Tsong Chen, Linear System Theory and Design, HRW.
  3. Thomas Kailath, Linear Systems, Prentice Hall.
  4. Katsuhiko Ogata, Modern Control Engineering, Prentice Hall.
  5. Donald Kirk, Optimal Control Theory - An Introduction, Prentice Hall, ISBN 13-638098-0.
  6. Frank L. Lewis, Vassilis L. Syrmos, Optimal Control, 2nd ed., John Wiley & Sonc, Inc., ISBN: 0-471-03378-2.
  7. George M. Siouris, An Engineering Approach to Optimal Control and Estimation Theory, John Wiley & Sons, Inc., ISBN: ISBN: 978-0-471-12126-8.
  8. Bryson & Ho, Applied Optimal Control, Hemisphere Publishing Corporation.

• Course Outline
  1. 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.

  2. 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 Input-Output Differential Equations

    Goal: After these lectures, students should know how use state-space description to model simple linear electric circuits, dc motor dynamics, transfer functions, and high-order differential equations.

  3. 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.

  4. Controllability and Observability
    1. Concepts and Definitions
    2. Time-Invariant 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.

  5. 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 real-world 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.

  6. Stability for Linear and Nonlinear Systems
    1. Equilibrium Points
    2. Stability Definitions
    3. Linear Time-Invariant Stability
    4. Nonlinear Time-Invariant 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.

  7. 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.

  8. 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 state-space description.

• Computer and Internet Requirements

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

• Instructor

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

Phone: 919-515-7360
Fax: 919-515-5523
Web Site: