MEEN 364
Homework # 3
September 13, 2007
Homework #3- Due September 20, 2007 @ 5:00 PM
1) a) Derive the equations of motion for the following system:
k1
I, R, B
k2
x
m
The linear springs have a spring constants k1 and k2. The pulley has a moment of
inerti
MEEN 364
Homework # 2
September 6, 2007
Homework #2- Due September 13, 2007 @ 5:00 PM
1) Compute the Laplace transform of the following functions:
a.) f(t) = t3e-5t
b.) f(t)=e-3tcos(t)
2) Compute the time function given the Laplace transform:
F ( s)
1
s
MEEN 364
Homework # 1
August 30, 2007
Homework #1- Due September 6, 2007 @ 5:00 PM
1) Compute the Fourier series of the following periodic signal
F(t)
1
1
T
T+1
2T
2T+1
t
2) Compute the Fourier transform of the following signal.
F(t)
1
T
t
3) Compute the
MEEN 364
Spring 2016
HW #13
Homework Set 13
Assigned Friday April 22, Due Friday April 29, by 4:00 pm
Problem 1
Draw the root locus of the systems with open-loop transfer functions as bellow by hand. Note
follow the steps in your note and write down your
MEEN 364
Spring 2016
HW #11
Homework Set 11
Assigned Friday April 8, Due Thursday April 14, by 4:00 pm
Problem 1
A controller for a plant with transfer function G(s) = 1/s2 has been designed with negative unity
feedback, and has the following transfer fun
MEEN 364
Spring 2016
HW #9
Homework Set 9
Assigned Friday March 25. Due Friday April 1, by 4:00 pm
Problem 1
Sketch the asymptotic Bode plot for the following transfer functions
1) G ( s)
100
( s 1) ( s 20s 100)
2) G ( s)
100s 400
( s 100)( s 2 60s 3600
MEEN 364
Spring 2016
HW #10
Homework Set 10
Assigned Sunday April 3, Due Friday April 8, by 4:00 pm
Problem 1
The asymptotes of the Bode magnitude plot of a stable minimum-phase system are given in the
following sketch. Slopes are given in dB per decade.
MEEN 364
Spring 2016
HW #12
Homework Set 12
Assigned Friday April 15, Due Thursday April 21, by 4:00 pm
Problem 1
Use Rouths stability criterion to determine the number of roots with positive real parts for the
given characteristic equations. Calculate th
MEEN 364
Spring 2016
HW #8
Homework Set 8
Assigned Friday March 11. Due Thursday March 24, by 4:00 pm
Problem 1
A controller is applied to the transfer function G(s) as shown below:
R(s)
+
k s B
s A
1
s 4s 6
2
_
Find k, B and A such that:
7
Im(s)
30o
Re(s
MEEN 364
Fall 07
HW #4
September 20, 2007
Homework #3- Due September 27, 2007 @ 5:00 PM
1) Derive the equations of motion and put them in state space form.
I2
r3
r2
3k
4k
b
2
1
3k
3
b
M(t)
4k
r1, I1
r4, I3
The radius and moment of inertia about the center
MEEN 364
Fall 07
HW #13
November 26, 2007
Homework #13- Due November 29, 2007 @ 5:00 PM
1) Consider the negative unity feedback system whose open loop transfer function is
given by
G (s)
10
s ( s 1)
Design a lead compensator such that the compensated sys
MEEN 364
Homework # 1
August 30, 2007
Homework #1- Due September 6, 2007 @ 5:00 PM
1) Compute the Fourier series of the following periodic signal
F(t)
1
1
T
T+1
2T+1
SOLUTION: To obtain the Fourier series, we need to calculate the Fourier coefficients.
Th
MEEN 364
FALL 2007
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 2 Nov 14, 2007 7 PM 9 PM, RICH 106
Name:
Please circle your section below: Section (Lab Time):
501(M 1:50-4:40 PM)
504(W 1:50-4:40 PM)
MEEN 364
Fall 2007
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 1 Oct 3, 2007 7 PM 9 PM, RICH 106
Name:
Please circle your section below: Section (Lab Time):
501(M 1:50-4:40 PM)
504(W 1:50-4:40 PM)
5
MEEN 364
Fall 07
HW #9
October 25, 2007
Homework #9- Due November 1, 2007 @ 5:00 PM
1) Consider the following negative unity feedback block diagram:
kd
R(s) +
s
+
+
kp
_
+
kI
( s 2)
s 5s 4
Y(s)
2
1
s
It is desired to place the dominant poles of the closed
MEEN 364
Fall 07
HW #7
October 11, 2007
Homework #7- Due October 18, 2007 @ 5:00 PM
1) A dynamic system is defined by the following state-space equation.
x1 4 3 x1 1
x 1 2 x 0 u (t )
2
2
x1
y 1 1
x2
Obtain the transfer function for the above s
MEEN 364
Fall 07
HW #6
October 4, 2007
Homework #6- Due October 11, 2007 @ 5:00 PM
1) Consider the fluid system shown. Derive the mathematical model for the system and
put them in state-space form. The output is q4.
qi1
h1
C1
q1
q2
R1
R2
h2
h3
C2
R3
C3
qi
MEEN 364
Fall 07
HW #9
October 25, 2007
Homework #9- Due November 1, 2007 @ 5:00 PM
1) Consider the following negative unity feedback block diagram:
kd
s
MEEN 364
Fall 07
HW #9
October 25, 2007
R
Vin +
_
R(s) +
+
Vc
_
C
+
+
+
kp
_
( s +2)
2
s +5s +4
+
kI
MEEN 364
Fall 07
HW #10
November 1, 2007
Homework #10- Due November 8, 2007 @ 5:00 PM
1)
Sketch the asymptotic Bode plot for the following transfer function:
G (s)
100 ( s 4)( s 2 2s 49)
98 ( s 2)( s 2 3s 100)
(Note: Plot the bode magnitude curve for eac
MEEN 364
Fall 07
Homework #11- Due November 19, 2007 @ 5:00 PM
HW #11
November 8, 2007
MEEN 364
Fall 07
HW #11
November 8, 2007
R
Vin +
_
C
Sketch the asymptotic Bode
plot for the following
transfer function: Sketch
the asymptotic Bode plot
for the follow
MEEN 364
Spring 2016
HW #2
Homework Set 2 PLEASE REMEMBER TO WRITE YOUR SECTION NUMBER AND YOUR
NAME ON YOUR SUBMISSION
Assigned Thursday January 28. Due Thursday February 4 by 4:00 pm
Problem 1
Derive the governing differential equations for the system s
MEEN 364
Exam 2, March 29, 2017
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
SOLUTION
Exam 2 Weds. March 29, 2017, 7:00 PM to 9:00 PM
Dr. Palazzolo Sections:
HELD 200
Dr. Darbha Sections: HELD 200
Dr. Ryu
MEEN 364
Fall 2010
Problem 3
We want to derive the dynamic equations of the following electrical system in state-space form.
There are two inputs Vin and ii, and two outputs Vaml and V0,; as indicated below.
(a) How many state variables do you need? Fully
(4) Compute the governing differential equations of motion for this system and represent
them in state space-form. The input is Vin and the output is the angular
displacement of the load disc.
The motor torque and back emf follow the relations T =kti(t) a
Spring 2017 - MEEN 364
Dynamic Systems and Control
Recitation 01 Mar. 2017
Problem 1)
Simplify the following block diagram
Solution)
Source:
http:/www.msubbu.in/sp/ctrl/BD-Rules.htm
http:/www.msubbu.in/sp/ctrl/
Alternative:
X = G3 (G2 (K1 (Tc H1 T) H2 X)
MEEN 364 Solutions to Homework No. 3
Fall 2013 September 12, 2013
Due September 19, 2013 @ 4:00 PM
(1) For the electric circuit shown, derive the differential equations of motion and put
them in state-space form. The input is Vin and the output is Vout.
Problem 3
Consider the fluid system shown. Derive the mathematical model for the system and put them in state-
space form. The inputs are qil and qiz. The outputs are q; and q4.
Definitions of the system parameters (13
qil, qi2 = Input flow
ql, q2, q3,
MEEN 364 Sections 501-503, 509 Lecture 6
Name1:
Name2:
(Section #:
(Section #:
Dr. Ryu
)
)
UIN:
UIN:
A simple robotic arm driven by a DC motor (Fall 2003 Exam Problem)
(a) Find the governing differential equations of the system.
(b) Clearly define
MEEN 364
Exam 1 Solution
Spring 2017
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Exam 1 Weds. February 15, 2017, 7:00 PM to 9:00 PM
Dr. Palazzolo Sections:
HELD 200
Dr. Darbha Sections: HELD 200
Dr. Ryu
MEEN 364
Dynamic Systems and Control
Homework 4: Modeling of Electro-Mechanical and Fluid Systems
Solution
Assigned: Thursday, 09 Feb. 2017
Note:
Due: Monday, 20 Feb. 2017, 4:00 pm
Remember to use the HW cover sheet when submitting your homework!
Rememb