MECH 7710
David M. Bevly
January 12, 2011
Due: 1/26/11
MECH 7710 Homework Assignment #0
(This should all be a review)
1. A control law for a simple rotation table is to be designed. The table has a rotational
moment of inertia (J) of 10 kg-m2 and rotation
MECH 7710
David M. Bevly
January 26, 2011
Due: 2/9/11
Homework Assignment #1
1. Use the MATLAB convolve function to produce discrete probability functions
(PDFs) for throws of six dice as follows (note: this is effectively the sum of 6
random variables)
a
MECH 7710
David M. Bevly
February 2, 2011
Due: 2/16/11
MECH 7710 Homework Assignment #2
1) Two random variables x1 and x2 have a joint PDF that is uniform inside the circle (in
the x1-x2 plane) with radius 2, and zero outside the circle.
a) Find the math
MECH 7710
David M. Bevly
February 16, 2011
Due: 3/5/11
MECH 7710 Homework Assignment #3
1. Repeat problem #4 on HW#2. Convince yourself that the Least Squares solution you
developed is the same as the solution given from arx.m. (What are the ARX inputs to
MECH 7710
David M. Bevly
March 7, 2011
Due: 3/28/11
MECH 7710 Homework Assignment #4
(Kalman Filtering)
Note: All problems are to be sampled at 10 Hz (Ts=0.1) except for problem #3.
1. Kalman Filter at its best simulation (actually the Kalaman filter is a
MECH 7710
David M. Bevly
March 30, 2011
Due: 4/20/11
MECH 7710 Homework Assignment #5
(LQG Regulation)
Please limit the number of plots. I ask a lot of questions but you can simply state the
answer. Show the important plots to demonstrate your estimator o
MECH 7710: Optimal Estimation and Control
Spring 2011
Instructor: Dr. David M. Bevly (Ross 264)
Phone: 844-3446
Office Hours: MW 11-2
Class Website:
Textbook:
http:/eng.auburn.edu/~dmbevly/mech7710/
No single text book is required for this course
Suggeste
The Star Box Company sells boxes of seven types. They range in volume from as
small as 17 to as
large as 33 cubic feet. The demand and size of each box is given in Table 1. The
variable cost (in
dollars) of producing each box is equal to the boxs volume.