Course Number

EE 321

Course

Control Systems I

University Catalog

Description

Semester offered: S, Su

3 credit lecture

Prerequisite: EE 207.

Analysis and design of continuous linear feedback systems; mathematical characterization of systems; stability theory and signal flow analysis; computer-aided design with root locus and frequency response techniques; compensator and controller types; state description of systems. Introduction to discrete systems.

Faculty Coordinator

Dr. Donald A. Pierre

Prerequisites by Topic

Laplace transforms; calculus and differential equations; electrical circuit analysis;

MATLAB.

Textbook

Norman S. Nise, Control Systems Engineering (second edition), Addison-Wesley Pub. Co., Menlo Park, CA, 1995.

Course Objectives

To produce graduates who: a) understand how to model physical systems that are to be controlled; and b) know how to use a variety of feedback control methods to satisfy closed-loop system objectives.

Course Outcomes

At the conclusion of EE 321, students are expected to be able to:

Characterize linear electrical and mechanical systems using Laplace transforms.

Analyze and describe interconnected systems using block diagrams and signal-

flow graphs.

Determine sinusoidal steady-state relationships based on Laplace transform

transfer functions.

Generate state-variable representations of a system given associated block

Diagrams, and visa versa.

Determine equilibrium points of nonlinear dynamic systems and find a linearized

system model in the neighborhood of a given equilibrium point.

Determine step-response properties of first and second-order systems.

Apply Mason’s gain formula to determine input-output transfer functions.

Find the sensitivity function of a transfer function to a given system element.

Use root locus methods to sketch the locations of closed-loop poles as a function

of loop gain.

Use root locus concepts to design lead, lag, and PID compensators.

Know how to avoid "reset windup" when using PID compensators.

Use the Nyquist stability criterion to determine the range of gain for stability.

Design a state feedback controller to place closed loop poles.

Design a full-order observer to generate real-time estimates of state variables.

Use MATLAB to analyze, design, and simulate control systems.

Effectively communicate the results of their work.

Topics Covered
  1. Introduction; the role that control engineering plays; course overview
  2. Laplace transform methods applied to electrical circuits, translational mechanical systems and rotational mechanical systems; transfer functions.
  3. Modeling in the time domain; state space representation; linearization.
  4. Time response; rise time; overshoot; settling time; estimates of response times based on dominant 2nd order system characteristics; sinusoidal steady-state response. Use of MATLAB for both analysis and design.
  5. Block diagram and signal flow graph methods; Mason’s gain rule.
  6. Poles (eigenvalues) and stability.
  7. Steady-state error specifications.
  8. Root locus analysis techniques; root locus design techniques; lag compensation; lead compensation; and PID compensation.
  9. Introduction to digital PID compensators.
  10. Bode plots and Nyquist plots; Nyquist stability criterion; gain and phase margin.
  11. State space design; pole placement; controllability; observer design; observability.

Class/Laboratory

Schedule

EE 321 meets three times/week for 50 minutes each session.

Professional

Component

This course enables engineers to work with closed-loop feedback systems, to understand implications of feedback, and to analyze and design linear continuous-time feedback systems. Many of the senior design projects require a solid foundation in feedback control for successful project completion.

ECE Program Outcomes

EE 321 supports the following Program Outcomes:

  1. An ability to apply knowledge of mathematics, science, and engineering.
  1. An ability to design a system, component, or process to meet desired needs.
  1. An ability to identify, formulate, and solve engineering problems.
  1. An ability to use the techniques, skills and modern engineering tools necessary

for engineering practice.
  1. An ability to analyze electrical and electronic systems.

p. An ability to implement real-time systems.

ABET Credit Hours

Engineering Science: 2 credits

Engineering Design: 1 credit

Prepared by

D. A. Pierre 4/20/00