EE 352

Title: SYSTEM DYNAMICS AND CONTROL

Credits: 3

Catalog Description: Analysis of linear control systems by differential equations and transfer function methods using Laplace transforms. Stability of closed loop systems. Routh-Hurwitz criterion, root-locus diagrams. System analysis in frequency domain. Bode, polar plots and Nichols charts. Nyquist stability criterion. Introduction to design and optimization of linear control systems, compensation techniques.                                                          

Prerequisites: MATH 202, EE 201.

Coordinators: Kadri Özçaldıran, Professor of Electrical Engineering and Andon Toplalov, Visiting Associate Professor of Electrical Engineering

Goals: To teach to and to enable the students to apply basic mathematical concepts and methods for analysis, design and simulation of linear automatic control systems.

Learning Objectives:

At the end of this course, students will be able to:

1. Find mathematical models of dynamic systems.
2. Analize linear dynamic systems using transient and steady-state response analysis
3. Analize dynamic systems using their frequency response.
4. Apply root-locus analysis of control systems.
5. Analyze stability of dynamic systems by using Routh-Hurwitz or Nyquist stability criteria.
6. Understand fundamental concepts in design and optimization of linear control systems, compensation techniques.

Textbook: K. Ogata, Modern Control Engineering, Fourth Edition, Prentice-Hall, 2002.

Reference Texts:

1. G.F. Franklin, J.D. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems, Prentice-Hall, 2002.
2. P.J. Dorf, Modern Control Systems,  Addison-Wesley, 1989.
3. J. Golten and A. Verwer, Control System Design and Simulation, McGraw-Hill, 1991.

Prerequisites by Topic:

• Ordinary differential equations
• Vector-matrix analysis
• Circuit analisis
• Mechanics

Topics:

1. An introduction to control systems. (1 week)
2. Modelling of dynamic systems. (3 weeks)
3. System time response . (3 weeks)
4. Root-locus analysis of control systems. (2 weeks)
5. Frequency response analysis. (2 weeks)
6. Frequency domain compensator design (2 weeks).

Course Structure: The class meets for two lectures a week, one consisting of a 50-minute session and the second consisting of two 50-minute sessions. 3 sets of homework problems are assigned per semester.  There are two in-class mid-term exams and a final exam.

Computer Resources: Students are encouraged to use MATLAB to solve their homework problems.

Laboratory Resources: None.

Grading:

1. Homework sets (10%)
2. Two mid-term exams (25% each).
3. A final exam (40%).

Outcome Coverage:

• Apply math, science and engineering knowledge. The course is about control systems modeling, design and simulation.  It makes use of different tools from mathematics (ordinary differential equations, linear algebra, complex variables, vector-matrix analysis) as well as from sciences (physics) and engineering (mechanics, circuit analysis).

• Design a system, component or process to meet desired needs. Students are introduced to the fundamental concepts of control systems design. In particular, design of lead, lag, and lead-lag compensators with the root-locus method and design and compensation techniques using frequency-response methods are covered.

• Use of modern engineering tools. Students use MATLAB and a number of MATLAB packages (like Control Toolbox, Simulink) for their homework assignments.

Prepared By: Kadri Özçaldıran and Andon Topalov

Last Revised: May 17, 2003