pp2c2dof

Pole placement 2 degree-of-freedom (2DOF) controller with compensator for second order processes.

Transfer function of the controlled system:

Vector of identification initial parameter estimations:

Controller specific parameters:

Parameter

Description

xi – damping factor

Dumping factor x specifying dynamic behaviour of closed loop. The dynamic behaviour of the closed-loop is similar to second order continuous system with characteristic polynomial .

omega - natural frequency

Natural frequency w specifying dynamic behaviour of closed loop. The dynamic behaviour of the closed-loop is similar to second order continuous system with characteristic polynomial .

2DOF control loop:

Feedback controller:

Feedforward controller for a step reference signal:

Characteristic polynomial of closed loop:

where polynomials are as follows:

 

for

 

for

 

 

 

 

Matrix equation:

Control law:

Source code:

sid

on-line identification s-function

pp2c2dof

function for computation of controller parameters

scfbfw

controller s-function

See also:

On-line identification methods

List of common controllers parameters