ECE 461: Controls Systems

Modeling and Control of Dynamic Systems

Ssummer 2014

 

Bison Academy

Syllabus

Sample Projects

Problems and Solutions

 

Instructor:        Jake Glower

Office Hours:  MTWRF 1-2PM,  ECE 201               


 

 

Date

Topic

Homework

M

 

 

May 19

Holiday!

Work enough problems that you are able to solve this type of problem on the tests and/or at the board. 

No formal write-up required for homework

T

 

May 20

Syllabus

LaPlace Transforms

Block Diagrams & VisSim

HW #1

W

 

May 21

1st and 2nd Order Approximations

State-Space and Canonical Forms

HW #2

R

 

May 22

SciLab and MATLAB

Transfer Functions for Electrical Circuits

Heat Equation

HW #3

F

 

May 23

Transfer Functions for Mass Spring Systems: Wave Equation

Rotational Systems & Gears

 

Test #1  -  Solution

HW #4

M

 

May 26

Holiday!

 

T

 

May 27

Error Constants

Routh Criteria

Feedback and Root Locus

Sketching a Root Locus Plot

HW #5

W

 

May 28

Root Locus & Gain Compensation

HW #6

R

 

May 29

Root Locus & Lead Compensation

PID Compensation

HW #7

F

 

May 30

Test 1:  Week 2

Test 2:  Week 2

M

 

June 2

Meeting Design Specs

Systems with Delays

HW #8

T

 

June 3

Multi-Loop Feedback

Gantry System (complex poles)

HW #9

W

 

June 4

Lightly Damped Systems (lots of complex poles)

Inverted Pendulum (unstable poles)

Lecture Notes from June 3

Lecture Notes from June 4

R

 

June 5

Review Day

F

 

June 6

Test Day!

Test 1:  Week 3

Test2:  Week3

Test 3:  Week 3

M

 

June 9

z-transform

G(s) to G(z) conversion

HW #13

T

 

June 10

Root Locus in the z-Domain

PID Compensation in the z-domain

HW #14

W

 

June 11

Test 1:  June 11

Test 2:  June 11

Test 4:  June 11

Sample Test #4

R

 

June 12

Review Day

F

 

June 13

Test Day!

Test 4:  Root Locus in the z-plane

 

 

 

Text:                Any book with the title ‘Controls Systems’ and contains root locus plots

·         www.half.com

·         www.amazon.com

·         www.directtextbook.com

Some suggestions:  (don’t worry about the edition – get the least expensive one)

·         Controls Systems:  Norman Nise ($18 used)

·         Schaum’s Outline on Controls ($14)

 

VisSim:  Block-diagram tool for simulating linear and nonlinear systems.  Similar to SimuLink

·         Home Page:  (http://www.vissim.com/products/vissim.html)

 

SciLab: Matrix-based language for designing and analyzing feedback control systems.  Similar to MATLAB

·         Home Page (for downloading the latest version) (http://www.scilab.org/)

·         SciLab 5.1.1 Toolbox (link here for zip file)

·         SciLab 5.3.3 Toolbox (link here for zip file)

 

Reference Material

·         2nd Order Damping Curves

·         Nichols Chart

·         Nyquist Diagram

·         Inverse Nyquist Diagram

 

All Lectures in One File (click here): 

 

 

Course Organization:   3 hour lectures will probably not work:  they’ll put everyone to sleep.  Instead, we’ll run this more as a flip-classroom with class-time spent on short ‘lectures’ then solving homework problems in class. 

 

The intent of the homework is to let you know what type of problems you should be able to solve.  No formal write-up is required for the homework – just do enough problems that you feel confident you can solve this type of problem on a test or at the board (the test may be have you go to the board and solve a type of problem).

 

Grading will be based upon test scores with tests each Friday.  Starting week 2, you can retake old tests as well (same topics, different problems) to increase your scores.  The average of your best scores for each test will be your overall average.