A = [1 dt; 0 1]; B = zeros(2,1); C = [1 0]; G = eye(2); % process noise input matrix Qn = 1e-4*eye(2); % process noise intensity Rn = 0.01; % measurement noise intensity [Kf, P, E] = lqe(A, G, C, Qn, Rn);
This code generates a plot of the estimated state and the measurements over time.
becomes small, and the filter trusts the prediction. If process noise ( ) is high, becomes large, and the filter trusts the sensor. Step 3: Correct (Measurement Update)
What are you tracking? (e.g., constant speed, accelerating) What sensors are you simulating? (e.g., GPS, accelerometer)
% Generate some measurements t = 0:0.1:10; z = sin(t) + randn(size(t));
However, looking at the academic literature can be daunting. Textbooks often bury the core concepts under a mountain of advanced probability theory and matrix calculus.
Here is a simplified version of the first example you will type:
While mathematically sound, this approach often fails the engineer who wants to know: “How do I actually make this work in code?”
A = [1 dt; 0 1]; B = zeros(2,1); C = [1 0]; G = eye(2); % process noise input matrix Qn = 1e-4*eye(2); % process noise intensity Rn = 0.01; % measurement noise intensity [Kf, P, E] = lqe(A, G, C, Qn, Rn);
This code generates a plot of the estimated state and the measurements over time.
becomes small, and the filter trusts the prediction. If process noise ( ) is high, becomes large, and the filter trusts the sensor. Step 3: Correct (Measurement Update) A = [1 dt; 0 1]; B =
What are you tracking? (e.g., constant speed, accelerating) What sensors are you simulating? (e.g., GPS, accelerometer)
% Generate some measurements t = 0:0.1:10; z = sin(t) + randn(size(t)); Step 3: Correct (Measurement Update) What are you tracking
However, looking at the academic literature can be daunting. Textbooks often bury the core concepts under a mountain of advanced probability theory and matrix calculus.
Here is a simplified version of the first example you will type: Textbooks often bury the core concepts under a
While mathematically sound, this approach often fails the engineer who wants to know: “How do I actually make this work in code?”