Wrapped KalmanFilter and tested it in MATLAB

release/4.3a0
Frank Dellaert 2011-11-04 00:27:02 +00:00
parent 3ce23e1f71
commit cbd6446bd7
4 changed files with 185 additions and 84 deletions

173
.cproject
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@ -375,14 +375,6 @@
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@ -492,11 +489,20 @@
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10
gtsam.h
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@ -114,6 +114,16 @@ class GaussianFactorGraph {
Matrix sparseJacobian_() const; Matrix sparseJacobian_() const;
}; };
class KalmanFilter {
KalmanFilter(Vector x, const SharedDiagonal& model);
void print(string s) const;
Vector mean() const;
Matrix information() const;
Matrix covariance() const;
void predict(Matrix F, Matrix B, Vector u, const SharedDiagonal& model);
void update(Matrix H, Vector z, const SharedDiagonal& model);
};
class Landmark2 { class Landmark2 {
Landmark2(); Landmark2();
Landmark2(double x, double y); Landmark2(double x, double y);

View File

@ -43,6 +43,15 @@ namespace gtsam {
*/ */
KalmanFilter(const Vector& x, const SharedDiagonal& model); KalmanFilter(const Vector& x, const SharedDiagonal& model);
/// print
void print(const std::string& s="") const {
std::cout << s << "\n";
Vector m = mean();
Matrix P = covariance();
gtsam::print(m,"mean: ");
gtsam::print(P,"covariance: ");
}
/** Return mean of posterior P(x|Z) at given all measurements Z */ /** Return mean of posterior P(x|Z) at given all measurements Z */
Vector mean() const; Vector mean() const;

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@ -0,0 +1,77 @@
% /* ----------------------------------------------------------------------------
%
% * GTSAM Copyright 2010, Georgia Tech Research Corporation,
% * Atlanta, Georgia 30332-0415
% * All Rights Reserved
% * Authors: Frank Dellaert, et al. (see THANKS for the full author list)
%
% * See LICENSE for the license information
%
% * -------------------------------------------------------------------------- */
%
% /**
% * @file testKalmanFilter.cpp
% * @brief Test simple linear Kalman filter on a moving 2D point
% * @date Sep 3, 2011
% * @author Stephen Williams
% * @author Frank Dellaert
% * @author Richard Roberts
% */
%% Create the controls and measurement properties for our example
F = eye(2,2);
B = eye(2,2);
u = [1.0; 0.0];
modelQ = SharedDiagonal([0.1;0.1]);
Q = 0.01*eye(2,2);
H = eye(2,2);
z1 = [1.0, 0.0]';
z2 = [2.0, 0.0]';
z3 = [3.0, 0.0]';
modelR = SharedDiagonal([0.1;0.1]);
R = 0.01*eye(2,2);
%% Create the set of expected output TestValues
expected0 = [0.0, 0.0]';
P00 = 0.01*eye(2,2);
expected1 = [1.0, 0.0]';
P01 = P00 + Q;
I11 = inv(P01) + inv(R);
expected2 = [2.0, 0.0]';
P12 = inv(I11) + Q;
I22 = inv(P12) + inv(R);
expected3 = [3.0, 0.0]';
P23 = inv(I22) + Q;
I33 = inv(P23) + inv(R);
%% Create the Kalman Filter initialization point
x_initial = [0.0;0.0];
P_initial = SharedDiagonal([0.1;0.1]);
%% Create an KalmanFilter object
kalmanFilter = KalmanFilter(x_initial, P_initial)
EQUALITY('expected0,kalmanFilter.mean', expected0,kalmanFilter.mean);
EQUALITY('expected0,kalmanFilter.mean', P00,kalmanFilter.covariance);
%% Run iteration 1
kalmanFilter.predict(F, B, u, modelQ);
EQUALITY('expected1,kalmanFilter.mean', expected1,kalmanFilter.mean);
EQUALITY('P01,kalmanFilter.covariance', P01,kalmanFilter.covariance);
kalmanFilter.update(H,z1,modelR);
EQUALITY('expected1,kalmanFilter.mean', expected1,kalmanFilter.mean);
EQUALITY('I11,kalmanFilter.information', I11,kalmanFilter.information);
%% Run iteration 2
kalmanFilter.predict(F, B, u, modelQ);
EQUALITY('expected2,kalmanFilter.mean', expected2,kalmanFilter.mean);
kalmanFilter.update(H,z2,modelR);
EQUALITY('expected2,kalmanFilter.mean', expected2,kalmanFilter.mean);
%% Run iteration 3
kalmanFilter.predict(F, B, u, modelQ);
EQUALITY('expected3,kalmanFilter.mean', expected3,kalmanFilter.mean);
kalmanFilter.update(H,z3,modelR);
EQUALITY('expected3,kalmanFilter.mean', expected3,kalmanFilter.mean);