Application of the Artificial Fish School Algorithm and Particle Filter Algorithm in the Industrial Process Control Particle Filtering Algorithm for Industrial Process Control

Algorithm 1

The standard PF algorithm.

{

A particle is produced by a priori probability , and the total weight of all particles is , making .

For

For

Prediction: Use equation of State (1) to predict the unknown state .

Calculate particle weights:

End For

Normalized weight,

For

.

End For

Then, the minimum mean square estimate of the state vector at time is obtained as . The priori condition probability density of system states is chosen as the important density function .

Resampling: A new set of particles is obtained.

End For

}