ME-6403 Midterm Exam
Name (PRINT)
George W. Woodruff School of Mechanical Engineering Spring 2010 Midterm Exam ME-6403 Digital Control Systems March 4th, 4:35pm 5:55pm Problem 1 Find the output y(k) of the following system for the unit-step input where th
ME6403
Homework Set #1 Solutions
ME6403
Homework Set #1 Solutions
ME6403
Homework Set #1 Solutions
ME6403
Homework Set #1 Solutions
ME6403
Homework Set #1 Solutions
ME6403
Homework Set #1 Solutions
ME6403
Homework Set #1 Solutions
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A
HW SET #1
Due 1/19/2017
ME6403Q
Due 1/26/2017
_
1) A fluid level control system includes a tank, a level sensor, a fluid source, and an
actuator to control fluid i
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A
HW SET #6
Due 03/28/2017
ME6403Q
Due 04/04/2017
_
1) Prove that a system in
a) Controllable Canonical Form (CCF) is always controllable.
b) Observable Canonical Fo
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A
HW SET #3
Due 2/21/2017
ME6403Q
Due 2/28/2017
_
1) Consider a harmonic oscillator (e.g., mass-spring) system given by () + 2 = 2 .
Design a 2nd order digital contr
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A,Q
HW SET #6
Due 03/28/2017
_
1) Prove that a system in
a) Controllable Canonical Form (CCF) is always controllable.
Hc=En=[0 0 1]T, GcHc=-a1Hc+[00 1 0]T, Gc(GcHc)=
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A,Q
HW SET #5 Solutions
_
z ( z 0.5)
1) Obtain state-space representations for G ( z ) 2
and H(z)=zG(z).
( z 1)( z 0.8)
a) In controllable form.
b) In observable for
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
HW SET #1 Solutions
_
1) A fluid level control system includes a tank, a level sensor, a fluid source, and an actuator
to control fluid inflow. Consult any classical contr
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A,Q
HW SET #2 Solutions
_
1) The Fourier transform of a continuous-time signal f(t) is given by F(j)=10-| for |10 and
zero otherwise.
a) Find f(t) via inverse Fourie
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A,Q
HW SET #4 Solutions
_
1) Consider a harmonic oscillator (e.g., mass-spring) system given by . Design a
2nd order digital controller (i.e., C(z)=(b0z2+b1z+b2)/(z2
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A
Homework Set #7
Due Thursday 4/13/2017
Please make sure you know how to do problems 1, 2, and 4 at least conceptually before
the 2nd Test. The solutions to these p
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology ME6403 Digital Control Systems Quiz #1 February 4 , 2010 (Main Campus), February 11 , 2010 (DL) NAME (PRINT) INSTRUCTIONS: SHOW ALL WORK ! No answer without justification
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology ME6403 Digital Control Systems Quiz #2 February 18, 2010 (Atlanta Main Campus), February 25th 2010 (DL) NAME (PRINT) Problem 1 (20 points): Consider the block diagram sho
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology ME6403 Digital Control Systems Quiz #3 April 1, 2010 (Atlanta main campus), April 8, 2010 (DL) NAME (PRINT) Problem 1 (15 points): Determine the condition for a and b for
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology ME6403 Digital Control Systems Quiz #4 April 20 2010 (Atlanta main campus), April 27 (DL) NAME (PRINT) Problem 1 (10 points): Find a pair of x1 and x2 that minimizes
f (
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A Sample Final Examination
Spring 2007
NAME _
Problem
Points
1
2
/25
3
/25
Total
/35
/85
Please read this first:
1. The test is closed book but you are allowed one 8
ME6403
George W. Woodruff School of Mechanical Engineering
Quiz #4 (Take-Home)
Spring 2007
NAME _
_
x + = Gx + Hu
.
Consider a single-input single-output (n-th order) system given by
y = Cx
1) Find a state space representation for the closed-loop system
George W. Woodruff School of Mechanical Engineering
Quiz #3 Solutions
ME6403
Spring 2007
NAME _
1. Find a state-space representation of the following systems:
a. Difference equation: y (k + 2) = y (k ) + u (k + 1) (3)
Y/U=z/(z2-1). Realize using controlla
George W. Woodruff School of Mechanical Engineering
Quiz #2 Solutions
Spring 2007
NAME _Key_
ME6403
1. The Fourier Transform of a signal f(t) is shown in the figure below: (6)
F(j)
2/T=30
2
1
1
(Hz)
-10
-5
5
10
a) What is f(t)? (2)
F(j)=F1(j)+F2(j), F1:i
George W. Woodruff School of Mechanical Engineering
Quiz #1 Solutions
ME6403
Spring 2007
NAME _Key_
_
1. State at least 3 advantages of digital over analog controllers. (2)
Programmability, flexibility, logical and high-level control capability, High perf
George W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
ME6403A,Q
HW SET #3 Solutions
_
1) Consider the equation of motion of a point mass (m) given by
where f is the input force, Td is the input time delay, and x the output d