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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.0//EN">COURSE TITLE: ECE 360 Introduction to Feedback Systems

CATALOG DESCRIPTION: Linear feedback control systems, their physical behavior, dynamical analysis, and stability. Laplace transform, frequency spectrum, and root locus methods. System design and compensation using PID and lead-lag controllers. Digital implementations of analog controllers.

REQUIRED TEXTS: Franklin, Powell, and Emami-Naeini, Feedback Control of Dynamic Systems, Prentice Hall, Fourth edition, 2002.

REFERENCE TEXTS: None

COURSE COORDINATOR: Randy Freeman

COURSE GOALS: Students learn how the use of feedback can significantly alter the dynamic behavior of a system. They learn how to design feedback systems to meet a set of performance criteria. In the laboratory projects, they gain experience in designing controllers for a real physical system.

PREREQUISITES: ECE 222 or equivalent

PREREQUISITES BY TOPIC:

1. Transfer functions of linear time-invariant systems, poles and zeros, Laplace and Z transforms (HW Set #1)

2. Fourier transforms and Bode plots

DETAILED COURSE TOPICS

WEEK 1: anatomy of a feedback system (plant, controller, sensors, actuators, command and reference inputs, noise and disturbance inputs), advantages of feedback (sensitivity reduction, disturbance rejection, stabilization, performance improvement) linear models of physical systems. Chapter 1

WEEK 2: linear models of physical systems, converting o.d.e.'s to transfer functions, block diagram manipulations. Chapter 3 (3.1-3.2)

WEEK 3: stability and the final value theorem, steady-state analysis, tracking error reduction via proportional control, step response of first- and second-order systems (time constant, natural and damped frequency, damping ratio). Chapter 3 (3.3)

WEEK 4: design specifications vs. pole/zero locations (overshoot, rise time, settling time). Chapter 3 (3.4-3.5)

WEEK 5: PID control, integrator windup, tracking and system type. Chapter 4

WEEK 6: Routh-Hurwitz stability criterion and root locus diagrams. Chapter 3 (3.6) and Chapter 5

WEEK 7: root locus controller design methods (proportional and lead/lag controllers). Chapter 5 (5.5)

WEEK 8: Nyquist stability criterion, Bode plots, gain/phase margins, bandwidth, crossover frequency, minimum-phase systems and Bode's gain/phase relationship. Chapter 6

WEEK 9: frequency domain controller design methods (proportional and lead/lag controllers), sensitivity/complementary sensitivity. Chapter 6 (6.7)

WEEK 10: digital implementations of analog controllers (impulse/step/ramp invariant approximations, Tustin/bilinear approximations, matched pole-zero approximations). Chapter 8 (8.3)

COMPUTER USAGE: Matlab

LABORATORY PROJECTS: seven lab sessions introduce students to control system simulation as well as the real-time control of an electro-mechanical system.

Lab 1: Introduction to the New C60 Laboratory. Appendix A: Model of Torsional Disk System

Lab 2: Introduction to Digital Simulations

Lab3: Introduction to the Control of the Torsional Disk System. Appendix B: ECP Executive Software. Appendix C: ECP Safety Precautions

Lab 4: PD Control

Lab 5: PID Control

Lab 6: Root Locus Design

Lab 7: Frequency Response of the Disk System

GRADES:

Homework - 10%

Labs - 30%

Midterm - 25%

Final - 35%

COURSE OBJECTIVES: When a student completes this course, s/he should be able to:

1. derive closed-loop transfer functions from block diagrams of interconnected subsystems. (HW Set #2)

2. derive time-domain response characteristics and translate time-domain design specifications into frequency-domain design objectives. (HW Sets #3 and #4)

3. analyze system stability using Routh-Hurwitz approach. (HW Set #5)

4. use root locus (HW Set #6), Nyquist, and Bode (HW Set #8) techniques to design PID (HW Set #7) and lead/lag (HW Set #9) controllers; analyze resulting closed-loop systems. controllers.

ABET CONTENT CATEGORY: 100% Engineering (Design component).