EE 561: Digital Control Systems
Homework 7
Due: 5pm, 8th December 2014.
Fall 2014
Total Points: 160
Problem 1 [25 Points]
A certain process has the transfer function G(s) = 4/(s2 4).
(a) Find F, G, H and J for this form in observer canonical form.
(b) If
EE 561: Digital Control Systems
HW1: Review of Elementary Control Concepts
Due Date: Thursday, 11th September 2014, in class.
Fall 2014
Total Points: 110
Note: Do not print plots (MATLAB) with black background. Any person doing so
may be penalized.
Probl
EE 561: Digital Control Systems
Homework 8
Due: 11:59pm, 16th December 2014.
Fall 2014
Total Points: 150
Problem 1 [30 Points]
Consider a series interconnection of two state-space continuous-time LTI systems as described
below.
x(t)
= Ax(t) + Bu(t),
y(t)
EE 561: Digital Control Systems
Homework 6
Due: 5pm, 24th November 2014.
Fall 2014
Total Points: 130
Problem 1 [25 Points]
Consider the plant described by,
0
7
1
4
y=
x =
1
x+
3
1
2
u,
x.
(a) Draw a block diagram of the plant with one integrator for each
EE 561: Digital Control Systems
Homework 4
Due: Monday 12 noon, 27th October 2014.
Fall 2014
Total Points: 100
Problem 1 [20 Points]
A system with transfer function is given by,
H(s) =
2s + 1
.
s2 + 3s + 2
(a) Give its state description matrices in obser
EE 561: Digital Control Systems
Homework 5
Due: 10am, 11th November 2014.
Fall 2014
Total Points: 110
Problem 1 [10 Points]
Find the state-space model from the transfer function using the Jordan canonical form,
H(s) =
s2 + 6s + 8
.
(s + 1)2 (s + 3)
Looku
EE 561: Digital Control Systems
Homework 3
Due: 5pm, Thursday, 16th October 2014.
Fall 2014
Total Points: 160
Problem 1 [30 Points]
(a) For the Euler Forward s-to-z approximation, z
s (if any) in terms of T for which,
1 + T s, nd out the range of values
EE 561: Digital Control Systems
Home Work 2
Due Date: Thursday, 25th September 2014, 5pm.
Fall 2014
Total Points: 130
Note: Do not print plots with black background.
For SIMULINK plots, use the To Workspace block and re-plot response in MATLAB.
Any person
EE 561: Digital Control Systems
Homework 8 Solution
Posted: 10:45am, 19th December 2014.
Fall 2014
Total Points: 150
Problem 1 [30 Points]
Consider a series interconnection of two state-space continuous-time LTI systems as described
below.
x(t)
= Ax(t) +
EE 561: Digital Control Systems
Homework 6 Solution
Posted: 3rd December 2014.
Fall 2014
Total Points: 130
Problem 1 [25 Points]
Consider the plant described by,
0
7
x=
1
4
1
y=
1
2
x+
3
u,
x.
(a) Draw a block diagram of the plant with one integrator for
EE 561: Digital Control Systems
Homework 5 Solution
Posted: 18th November 2014.
Fall 2014
Total Points: 110
Problem 1 [10 Points]
Find the state-space model from the transfer function using the Jordan canonical form,
H(s) =
s2 + 6s + 8
.
(s + 1)2 (s + 3)
EE 561: Digital Control Systems
Homework 7 Solution
Posted: 3pm, 17th December 2014.
Fall 2014
Total Points: 160
Problem 1 [25 Points]
A certain process has the transfer function G(s) = 4/(s2 4).
(a) Find F, G, H and J for this form in observer canonical
EE 561: Digital Control Systems
Homework 3
Due: 5pm, Thursday, 16th October 2014.
Fall 2014
Total Points: 160
Problem 1 [30 Points]
(a) For the Euler Forward s-to-z approximation z ' 1 + T s, find out the range of values of s
(if any) in terms of T for w
EE 561: Digital Control Systems
Homework 2 Solution
Date: 9th October 2014.
Fall 2014
Total Points: 130
Problem 1 [20 Points]
You are to digitally implement the following compensator:
D(s) = 25
s+1
.
s + 10
(a) Determine the corresponding dierence equati
EE 561: Digital Control Systems
Homework 4 Solution
Posted: 2.00pm, 27th October 2014.
Fall 2014
Total Points: 100
Problem 1 [20 Points]
A system with transfer function is given by,
H(s) =
s2
2s + 1
.
+ 3s + 2
(a) Give its state description matrices in o
EE 561: Digital Control Systems
HW1: Solution
Due Date: Thursday, 11th September 2014, in class.
Fall 2014
Total Points: 110
Problem 1 [15 Points]
Solution:
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