pp2b_2

PID B-2 pole placement controller for second order processes.

Transfer function of the controlled system:

Vector of identification initial parameter estimations:

Controller specific parameters:

Parameter

Description

omega – imaginary component of the pole

Imaginary component w of the poles of the closed control loop. The dynamic behaviour of the closed-loop is defined by its poles:

           

alfa – real component of the pole

Real component a of the poles of the closed control loop. The dynamic behaviour of the closed-loop is defined by its poles:

           

Control law:

This form of control law can be transformed to feedback feedforward form:

where controller parameters are calculated by solving following diophantine equation:

where polynomials are as follows:

Solving the diophantine equation leads to following relations for controller parameters:

where:

 

Source code:

sid

on-line identification s-function

pp2b_2

function for computation of controller parameters

scrqp

controller s-function

See also:

On-line identification methods

List of common controllers parameters