ME 475 PROBLEM #1 (50%) Solutions: (1) The FBDs are shown below:
HOMEWORK SET 1  solutions
Fall 2013
Electrical
Drive Motor Disk
FP2 FP1
u_
+
iA
RA + Eemf _
1
TD
TD
C
1 1
Pulleys
P
2
Load Disk
FP4 FP3
FP4 FP2 FP3 FP1
TPD rd ( FP 2 FP1 )
T2
C22
(1.1) (1.
ME 475 Out: 2/17; due: 2/24
PROBLEM 1:
HOMEWORK #6
Spring 2011
FPE, Prob. 5.5(e) and (f), pp. 280. Make sure you compute departure and/or arrival angles. PROBLEM 2: Given: Specs.: (i) (ii)
Find: (a) openloop stability (b) stability for Gc(s) = K (c) stab
ME 475
PROBLEM 1: Given:
HOMEWORK #9
Spring 2011
Find: (a) (b) (c) (d) (e) (f) An analytical expression for the magnitude and the phase for L1(s) and L2(s). Frequency response plots using MATLAB and expressions in (a). Comment on similarity and difference
Lab 5: Root Locus Analysis
Hao Zhu
Station: 7
Section: Tues 2:305:20 pm
Partner: Michael Hall
9/26/2012
Introduction:
The general object of lab 5 is to demonstrate the root locus concept as applied to the
servo table. Also, compare the effects of the dif
ME 475
OUT: 08/22/13
HOMEWORK SET 1
Fall 2013
DUE: 08/29/13
Before starting, read Chap.1 and Chap.2. Note that this set of homework problems is to review
some of the materials covered in ME375 to be used for ME475
PROBLEM #1 (50%)
The ECP plant, shown in
ME 475
HOMEWORK #6
Out: March 11, 2014
Spring 2014
Due: March 25, 2014
PROBLEM #1 (40%)
For K=1, sketch the Nyquist plot for each of the following systems and compare with that obtained using the
MATLAB command "Nyquist". Using your plots, estimate the ra
ME 475 OUT: 09/26/13
HOMEWORK SET 6
Fall 2013 DUE: 10/03/13
Before starting, read Chapter 5. PROBLEM #1 (30%) Consider the control of ECP emulator with rigid belts shown below
where J 0.00041 and C 0.00076 . You are required to design a controller Gc(s) w
ME 475
HOMEWORK SET 6  solutions
Fall 2013
PROBLEM #1 (30%)
Solutions:
(A) To satisfy the steadystate performance requirement (P3), it is necessary that the
resulting system is of Type 2 with respect to the reference input R ( s ) , which means that
the
ME 475 Homework Set 1 Problem 1:
Spring 2011
Due January 20, 2011
In many mechanical positioning systems there is flexibility between one part of the system and another. An example is shown in figure 2.7 (both edi
ME 475
OUT: 09/12/13
HOMEWORK SET 4
Fall 2013
DUE: 09/17/13
Before starting, read sections 4.1 and 4.2.
PROBLEM #1 (30%)
Consider the following feedback system
where the nominal value of is 2 .
(A). What is the system type with respect to the reference in
ME 475
HOMEWORK #2
Spring 2011
PROBLEM 1: GIVEN: A rapid transit train car weighs 63000 lb. The combined effects of air resistance and wheel rolling resistance provide equivalent viscous damping of 147 lb/(ft/sec). The dc traction motors that propel the t
ME 475
HOMEWORK #1
Out: January 14th, 2014
Spring 2014
Due: January 21th, 2014
PROBLEM 1: (30%)
A schematic of the water level control system in the toilet tank is shown below. After a flush, the water level
decreases as water flows into the toilet bowl.
ME 475
PROBLEM 1: FPE, Prob. 6.45, p. 403.
HOMEWORK #10
Spring 2011
Notice that you do not have to satisfy a steadystate error specification. Therefore, you are allowed to introduce a gain to help you meet the specifications. Please note that this gain c
ME 475 Quanser Seesaw Project
Spring 2013
Prepared by:
Jonathan Peiffer
Yuntian Wang
David Arseneau
Section 009
Introduction
The Quanser Seesaw Project consists of a seesaw and a cart powered by gears and a DC motor
on a rack and pinion track. The seesaw
ME 475
HOMEWORK #2
Out: January 28th, 2014
Spring 2014
Due: February 4th, 2014
PROBLEM #1 (30%)
Consider a system described by the following I/O model:
+ 2 y + y= u (t ) + 2u (t )
y
(A) Using Laplace transform (LT) and inverse LT (ILT), obtain the free r
ME 475 z  Transform
Galen King
Office ME G087
Email: [email protected]
Phone Number 4946518
Office hours: Open
(drop by!)
Lecture 5 z  Transform
ME 475
1
Lecture Overview
Definition of the z transform
Difference equations written with z
Relationship
ME 475 Root Locus Review
Galen King
Office ME G087
Email: [email protected]
Phone Number 4946518
Office hours: Open
(drop by!)
Lecture 10 Root Locus Review
ME 475
1
Lecture Overview
Root Locus Review
So what is Root Locus?
Root Locus Plotting Examples
Automatic Control Systems
Out: 10/20/2016
Homework Set 7
Due: 10/27/2016
The system shown in the figure will be used for all three of the problems in this homework set.
Y(s)
R(s)
()
()
+

Where () is a PID controller and () =
10
(+10)
is the plant. In
Homework Set 1
Automatic Control Systems
Out: 08/25/2016
Due: 09/01/2016
Problem 1:
(a) Reduce the block diagram to a single block. (Show your reduction steps.)
(b) Apply Masons gain formula to determine the system gain and compare your answer with the re
Automatic Control Systems
Out: 09/08/2016
Homework Set 3
Due: 09/15/2016
Problem 1:
Given: Proportional control system
R
+
3
s(s 3)(s 5s 10)
K
2
Find: The range of K for stability.
Solution:
C.L.T.F = T(s)
3K
s 8s 25s 2 30s 3K
4
3
Char Eqn.
Using Routh
Automatic Control Systems
Out: 09/22/2016
Homework Set 5
Due: 09/29/2016
Problem 1:
Given:
D(s)
Heating
Reference
+
system
temperature
Normalized
Temperature
+
Fig. 1(a): Openloop temperaturecontrol system.
Reference
Amplifier
Normalized
system
temperat
Automatic Control Systems
Out: 10/06/2016
Homework Set 6
Due: 10/18/2016
Problem 1:
G p (s)
Given:
s 1
s (s 0.1)
2
Specs.: (i)
(ii)
ess step ess ramp 0
0.707, 1/ 2 sec
G c (s) K
PD
K(s )
K(s ) / s PI
Find: (a) openloop stability
(b) stability for Gc(
Control Concept Review
Galen King
Office ME G087
Email: [email protected]
Phone Number 4946518
Office hours: Open
(drop by!)
Lecture 2 Conrtol Concept Review
ME 475
1
Disk Drive Head Positioning
Objective:
to precisely locate the head over the
disk
Optio
ME 475 Stability
Galen King
Office ME G087
Email: [email protected]
Phone Number 4946518
Office hours: Open
(drop by!)
Lecture 6 Stability
ME 475
1
Lecture Overview
Review of Stability Concepts
Asymptotic Stability
Hurwitz Necessary Condition (in s)
Rou
ME 475
HOMEWORK #6
Out: February 25th, 2014
Spring 2014
Due: March 4th, 2014
PROBLEM #1 (30%)
Draw the Bode plot of the following transfer function using straightline approximate asymptotes; clearly show
the steps.
s
10( + 1)
5
G ( s) =
s
s ( + 1)
10
Pha
ME 475
OUT: 02/04/14
HOMEWORK SET 3
Fall 2014
DUE: 02/11/14
PROBLEM #1 (30%)
Problem 3.45 of the textbook on page 167.
The openloop transfer function of a typical tapedrive system is given by
K ( s 4)
G (s)
s[( s 0.5)( s 1)( s 2 0.4 s 4)]
where time is