Least Squares Estimation
Consider an system of m equations in n unknown, with m > n, of the form
y = Ax.
Assume that the system is inconsistent: there are more equations than
unknowns, and these equations are non linear combinations of one another.
In the
Problem 1
close all
clear all
rho_a =
ones(size(eli_a)./sqrt(eli_a);
RS =
[0.6728,0.0589;0.3380,0.4093;0.2510,
0.3559;-0.0684,0.5449;0.4329,0.3657;.
-0.6921,0.0252;-0.3861,0.2020;0.0019,-0.3769;0.0825,0.3508;0.5294,-0.2918];
the_b = linspace(0,2*pi(),n);
Course
Objectives
Thecourse
addresses
dynamic
systems,
i.e., systems
that evolve
withtime.
Typically
these
systems
have
inputs
andoutputs:
itisofinterest
to
understand
howtheinput aects
theoutput
(or, vice-versa,
what inputs
should
begiven
togene
Course
Objectives
Thecourse
addresses
dynamic
systems,
i.e., systems
that evolve
withtime.
Typically
these
systems
have
inputs
andoutputs:
itisofinterest
to
understand
howtheinput aects
theoutput
(or, vice-versa,
what inputs
should
begiven
togene
Math 577 - HW 5
Math 577 - HW 5
Problem
Consider ta unit mass moving in a straight line under the action of a force x(t), with position
at time t given by p(t). Assume p(0) =0 and p (t )=0 , and supposed we wish to have
p(T)=y, (with no constraints on
p (
1
EE/ME/AeroE/Math 577 HW 2
Due in class: Sep. 22nd, 2015
1) Is the set U = cfw_(x, y, z) R3 | x + 2y + 3z = 0 a subspace? If the answer is yes, what is the dimension of this subspace?
2) Show that the dimension of set cfw_(x, y, z) R3 | 2x 3y + z = 0 is
% Problem 4 - part a
M = 2; m = 0.1; l = 0.5; I=0.025; g
= 9.8;
Mt = M+m;
L = (I+m*l.^2)/(m*l);
alpha = 1/(1-m*l/Mt/L);
A = [0 1 0 0;0 0 -alpha*m*l*g/Mt/L
0;0 0 0 1;0 0 alpha*g/L 0];
G = Chat*(s*eye(length(Ahat)Ahat)^-1*Bhat
order(G);
sysC = ss(Ahat,Bhat,
Course Objectives
The course addresses dynamic systems, i.e., systems that evolve with time.
Typically these systems have inputs and outputs: it is of interest to
understand how the input aects the output (or, vice-versa, what inputs
should be given to ge
EE/ME/AeroE/Math 577: Assignment 3
Due: October 1.
1. Suppose a particular object is modeled as moving in an elliptical orbit centered at
the origin. Its nominal trajectory is described in rectangular coordinates (r, s) by
the constraint equation x1 r2 +
MATH 577 HW 6 Problem 2 (d)
MATH 577 HW 6 Problem 2 (d)
MATH 577 HW 6 Problem 2 (d)
% problem 2
close all
clear al
k2=double(k2);
wo = 1;
T = pi/6;
woT = wo*T;
LW = 'LineWidth';
% part d
F = [sqrt(3)/2 1/2; -1/2 sqrt(3)/2];
G = [1-sqrt(3)/2;1/2];
% part c
Course
Objectives
Thecourse
addresses
dynamic
systems,
i.e., systems
that evolve
withtime.
Typically
these
systems
have
inputs
andoutputs:
itisofinterest
to
understand
howtheinput aects
theoutput
(or, vice-versa,
what inputs
should
begiven
togene