Lab 3
DIGITAL SIMULATION OF A CLOSED LOOP SYSTEM Report By: Lab Partner: Lab TA: Section:
1 of 2
Total _/45
Part 1. _/15
Plots
(Attach time response plots to end or include them here)
_/6
Fig. 1
Fig. 2
Time Response to a Unit step for r
Controller 1 Prela
Lab 2
DIGITAL SIMULATION Report By: Lab Partner: Lab TA: Section:
1 of 2
Total: _/50
Part I. _/8
State Space Model Representation of H1(s) _/8
Compare the plots of y_dot and y obtained in Part 1 of the lab with the plots previously made for the prelab. Wh
Lab 0
INTRODUCTION TO MATLAB AND EQUIPMENT Report By: Lab Partner: Lab TA: Section:
1 of 1
Total: _/20
Report Guidelines:
_/20
For this report you will need three files: 1.) LabReport0.m (the main file that runs the other two) 2.) StepResponseMetrics.m (a
Designing a Dynamic Output Feedback
Controller: An Example
Consider the following state-space model:
x 1
0 1
x1
0
=
+
u
x 2
2 4
x2
1
x1
y= 2 1
x2
(a) Is this system controllable?
Solution. By inspection, we see that the state-space model is in CCF,
Plan of the Lecture
I
Review: Nyquist stability criterion
I
Todays topic: Nyquist stability criterion (more examples);
phase and gain margins from Nyquist plots.
Plan of the Lecture
I
Review: Nyquist stability criterion
I
Todays topic: Nyquist stability c
PreLab 3
DIGITAL SIMULATION OF A CLOSED LOOP SYSTEM
Report By:
Lab Partner:
Lab TA:
Section:
1! of 4!
Lan Li
Bozun Wang
Yn Han
ABF
Prelab 3 _/45
You do not have to use this template, but it does show how we will grade the prelab and
gives some hints for t
ECE 486, Spring 2016
MIDTERM EXAM 1 SOLUTIONS
Tuesday, Mar 1
1. Consider the differential equation
y = y + r
where y(t) is the output and r(t) is the reference input. Assume y(0) = 0.
a) Compute the transfer function from R to Y (capital letters denote La
PreLab 5
PD CONTROL USING ANALOG COMPUTER & WINCON
1! of 4!
(D). Show the 2 root locus plots for your P1 and P2 values. Show
that it meets the requirements
_/10
Hint: You may use the command rlocus(), in MATLAB, which accepts a transfer
function. You will
Lan Li NetID: lanli4
Problem 3:
Lan Li NetID: lanli4
a
Mr
Mp
0.01
100.005
54.073
0.1
10.050
4.943
1
1.468
2.984
10
1.150
1.639
100
1.155
1.630
The resonant peak decreases drastically as a increases, which also leads to much less
overshoot. However, the di
ECE 486, Spring 2017
PROBLEM SET 7
Due Thursday, Mar 16
Reading: FPE, Section 6.1.
Problems:
1. Consider the transfer function G(s) =
1
.
s2 + 0.5s + 1
a) Use the formulas given in class:
r = n
BW
1
p
1 2 2 , Mr =
1
p
2 1 2
q
p
= n (1 2 2 ) + (1 2 2 )2 +
ECE486 Fall 2015 Problem Set 8
Due 5th Nov 2015
Show all work for full credit!
sh is
ar stu
ed d
vi y re
aC s
o
ou urc
rs e
eH w
er as
o.
co
m
1. (a) The Nyquist plot is shown below.
Note that the portion of the Nyquist diagram on the right side below tha
Lab 3
DIGITAL SIMULATION OF A CLOSED LOOP SYSTEM
Report By:
Lab Partner:
Lab TA:
Section:
Total _/45
1! of 3!
Lan Li
Jiahe Liu
Yn Han
ABF
Part 1. _/15
Plots
_/6
(Attach time response plots to end or include them here)
Fig. 1
Fig. 2
Time Response to a Unit
Lab 4
Total:
INTRODUCTION TO THE DC MOTOR
1! of 13
!
Report By:
Lab Partner:
Lab TA:
Section:
/90
Lan Li
Bozun Wang
Yn Han
ABF
Part I. Calibration of Tachometer: _/5
Computing the Tachometer Gain
_/3
Briefly explain the procedure and the importance of com
Lab 4
INTRODUCTION TO THE DC MOTOR
1 of 3
Total:
/90
Report By: Lab Partner: Lab TA: Section:
Part I. Calibration of Tachometer: _/5
Computing the Tachometer Gain _/3
Briefly explain the procedure and the importance of computing the gain for the Tachomete
Lab 6
LEAD CONTROLLER DESIGN
1 of 3
Total:
/90
Report By: Lab Partner: Lab TA: Section:
Part I. Effects of Saturation Block in Simulations:
_/10
Discuss the effect of the saturation block in the simulations (if any). Overlay plot for the saturated and the
University of Illinois
Spring 2016
ECE 361: Problem Set 2
Decisions and Reliable Communication
Released:
Due:
Reading:
Tuesday, February 2
Thursday, February 11 (in class)
361 Course Notes Lectures 4-6.
1. [Detection through Uniform Noise]
Consider a bina
University of Illinois
Spring 2016
ECE 361: Problem Set 3: Problems and Solutions
Energy and Rate Efficiency
Released:
Due:
Reading:
Tuesday, February 16
Thursday, February 25 (in class)
361 Course Notes Lectures 7-10.
1. [Position Modulation with Sign]
C
University of Illinois
Spring 2016
ECE 361: Problem Set 2: Problems and Solutions
Decisions and Reliable Communication
Released:
Due:
Reading:
Tuesday, February 2
Thursday, February 11 (in class)
361 Course Notes Lectures 4-6.
1. [Detection through Unifor
University of Illinois
Spring 2016
ECE 361: Problem Set 1
Information sources and probability review
Released:
Due:
Reading:
Tuesday, January 19
Thursday, January 28 (in class)
361 Course Notes Lectures 1-3, and S1.
1. [Exponentials]
Although the main foc
University of Illinois
Spring 2016
ECE 361: Problem Set 1: Problems and Solutions
Information sources and probability review
Released:
Due:
Reading:
Tuesday, January 19
Thursday, January 28 (in class)
361 Course Notes Lectures 1-3, and S1.
1. [Exponential
ECE 486, Spring 2017
PROBLEM SET 5
Due Thursday, Mar 2
(one week after the midterm)
Reading: FPE, Sections 5.1, 5.2, 5.6.1.
Problems:
1
. Under the action of a constant feedback gain
+ 2s
K, the closed-loop poles are the roots of the characteristic polyno
ECE 486, Spring 2017
PROBLEM SET 4
Due Thursday, Feb 16
Reading: FPE, Sections 4.14.3 (the material not discussed in class is optional).
Problems:
1. Consider the following feedback system, where K is a constant gain and G(s) =
R
+
K
G
1
:
s3 + 2s2 + 2s +
ECE 486, Spring 2017
PROBLEM SET 3
Due Thursday, Feb 9
Reading: FPE, Sections 3.33.6.
Problems: (unless otherwise noted, you can use a calculator/computer to arrive at numerical answers)
1. Using techniques for block diagram reduction discussed in class,
ECE 486, Spring 2017
PROBLEM SET 5 - SOLUTION
Due Thursday, Mar 2
Reading: FPE, Sections 5.1, 5.2.
Problems:
1
. Under the action of a constant feedback gain
+ 2s
K, the closed-loop poles are the roots of the characteristic polynomial s2 + 2s + K.
1. Cons
ECE 486 Issued: February 24
Reading Assignment:
Assignment # 5 Due: March 3, 2011
FPE, Sections 5.1 - 5.6. Begin reviewing frequency response plots (see your ECE 210 notes, or the rst sections of FPE, Ch. 6).
Problems:
11. This problem concerns the design