In Class Exercise #3
Name:_
Date:_
Table:_
Problem 1:
For a circuit we have the following differential equation:
1
/ = () + () with (0) = 0 and V= 1 when t0
R=1
L=1
V is a step function so V(s) = 1/s
a.
Take the Laplace transform and solve for I(s)
b. Exp
ME 682 Control Systems
Listening:
Transfer Functions
Block Diagrams,
State Space,
Matlab Simulations,
Mechanical Systems
Upcoming Deadlines:
Homework 1: 9/1
Homework 2: 9/8
Class Objectives:
B the e d of toda s lass, ou should e a le to:
1. Represent diff
ME 682 Control Systems,
8/25
Listening: Control Systems,
Laplace
Upcoming Deadlines:
Group Project 1: today
Homework 1: 9/1
Class Objectives:
By the e d of todays lass, you should e a le to:
1. Describe a control system and its elements.
2. Start thinking
ME 682 Control Systems
Listening: Math and
Matlab
Upcoming Deadlines:
Homework 1: 9/1
Class Objectives:
By the end of todays class, you should be
able to:
1. Laplace transforms, Partial Fraction
Expansion
2. Transfer functions
3. State-space representatio
In Class Exercise #1
Name:_
Problem 1:
Linearize:
y = cos( )
Individual Answer:
Group Answer:
at
~
= /2
Date:_
Problem 2:
Linearize:
y = x2
Individual Answer:
Group Answer:
at
~
x =1
Problem 3:
A disk is spinning at a rotational velocity () in a small el
In Class Exercise #4
Name:_
Table:_
Problem 1:
+ + =
Get the transfer function for Y(s)/Z(s)
Date:_
Problem 2:
where u(t) is a force applied to M.
Identify the variables in this system:
Write a system equation:
How many state variables do you need to de
ME 682 Control Systems
8/23/2016
Activities:
Syllabus, Survey, Virtual
Lab
Listening: System
Dynamics, Linearization
3 in class exercises
Upcoming Deadlines:
Group Project 1: 8/25
Class Objectives:
By the e d of todays lass, you should e a le to:
1. Un
In Class Exercise #5
Name:_
Table: _
Problem 1:
a.
What is the equation of motion of this system?
b. Get the transfer function for Theta(s)/Torque(s)
c. What is the state-space representation:
Date:_
Problem 2:
where u1(t) and u2(t) is a force applied to
In Class Exercise #2
Name:_
Date:_
Table:_
Problem 1:
Rotational inertia of the system (I)
Motor acting on the pendulum with a torque (Tm)
Gravity acting on pendulum with a center of mass (lcm) and a mass (m)
Write the differential equation that describes
ME 682 Control Systems
Upcoming Deadlines:
Listening: State Space,
Homework 2: 9/8
Mechanical Systems
Electrical and Fluid Systems
Class Objectives:
By the end of todays class, you should be able to:
1. Represent differential equations in state-space
2. R