EML 6350
Fall 2013
Hw 3: OFB Control
1. Consider the system
a
x + bx + csin(x) = u
where a, b, c are unknown positive constants, and only x(t) is measurable. Given e =
x(t) xd where xd is a known posi
EAS 6939: Spring 2008
Adaptive, Robust, Feedback Linearization and Backstepping Homework.
1. Using any controller possible, prove that your controller yields GES for the following system
m
q + g(q) =
EAS 6939: Spring 2008
Adaptive, Robust, Feedback Linearization and Backstepping
Test #2.
Consider the following system
mx + ax + x2 = y
y = u + sgn(y)
where m, a R are unknown positive constants.
1. (
EML 6350
Fall 2013
Test 2
1. (10 pts) For each of the following functions, circle ALL THE CHOICES THAT APPLY,
and support your answer with mathematical details.
(a) W (x, t) = x2 + et x2
1. Class KL
(
EML 6350
Fall 2017
Hw 2: Nonautonomous Systems and Robust and Adaptive Control
1. Consider the system
a
x + bx + csin(t) = u
where a, b, c are unknown positive constants, and x(t), x(t)
are measurable
EAS 6939: Spring 2006 Test2
Name
Instructions. This is a 50 minute closed-book, closed-notes test. No calculators and other such electronic
devices are allowed. Point values for each problem are liste
2
1. Introduction
sulting control designs can have unpredictable stability and degraded performance results. In the following sections, several examples are provided
to highlight some of the pitfalls
EML 6350
Fall 2017
Hw 2: Nonautonomous Systems and Robust and Adaptive Control
1. Consider the system
a
x + bx + csin(t) = u
where a, b, c are unknown positive constants, and x(t), x(t)
are measurable
EML 6350
Fall 2013
1. (20 pts) Consider the following dynamic system
x 1 = x1 + x2 cosh2 (t)
x 2 = x1 x2
= x1 cosh2 (t)
where x1 , x2 , R, and the plot of cosh2 (t) is given below.
Consider the Lyapu
EML 6350: Fall 2011 Test 2
Name
Instructions. This is a 50 minute closed-book, closed-notes test. No calculators and other such
electronic devices are allowed. Point values for each problem are listed
EAS 6939: Fall 2004 Test1
Name
Instructions. This is a 50 minute closed-book, closed-notes test. No calculators and other such electronic
devices are allowed. Point values for each problem are listed.
EML 6350
Fall 2013
Hw 2: Robust and Adaptive Control
1. Consider the system
a
x + bx + csin(x) = u
where a, b, c are unknown positive constants, and x(t), x(t)
are measurable. Design
u(t) to prove tha
EAS 6939: Spring 2008
Test #3.
Name
Instructions. This is a take home open-book, open-notes test - you should not talk with colleagues and will fail the course if I consider you cheating on this exam.
EML 6350 Fall 2011
Test #3.
Name
Instructions. This is a take home open-book, open-notes test - you should not talk with colleagues and will fail the course if I consider you cheating on this exam. Po
Nonlinear Control: Spring 2010 Test 3
Name
Instructions. This is a open-book, open-notes test. No interaction with any students, faculty, or controls
related researchers is allowed. The work is intend
EML 6350
Fall 2013
Test 3: OFB Control
1. (50 points) Consider the system
x = ax2 + bu + sin(cx)
where a, b, c are unknown positive constants, and only x(t) is measurable. Design
u(t) to prove that x(
EML 6350
Fall 2013
Hw 1: Autonomous and Nonautonomous Systems
1. Consider the following dynamic system
x 1 = x1 + x2
x 2 = x1.
Given a Lyapunov function candidate
1
1
V (x) = xT1 x1 + xT2 x2
2
2
what
EML 6350
Fall 2015
Hw 1: Autonomous Systems
1. Consider the following dynamic system
x 1 = x2
x 2 = x1.
Given a Lyapunov function candidate
1
1
V (x) = x21 + x22
2
2
what is the best can you prove abo
EML 6350
Fall 2013
Test 2
1. (25 pts) Consider the system
x = y + tanh(ax)
y = u
where a is an unknown positive constant, and x(t) and y(t) are measurable. Design
u(t) to prove that x 0 as t if possib
Nonlinear Control: Spring 2010 Test1
Name
Instructions. This is a open-book, open-notes test. No interaction with any students, faculty, or controls
related researchers is allowed. The work is intende
EML 6350
Fall 2015
This is a closed book and closed notes test. You have 120 minutes to take the test. The
use of any material that serves as an aid of any kind other than your mind is considered
chea