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## Change Perturbation Level of Blocks Perturbed During Linearization

Blocks that do not have preprogrammed analytic Jacobians linearize using numerical perturbation.

### Change Block Perturbation Level

This example shows how to change the perturbation level to the Magnetic Ball Plant block in the magball model. Changing the perturbation level changes the linearization results.

The default perturbation size is 10-5(1+|x|), where x is the operating point value of the perturbed state or the input.

Open the model before changing the perturbation level.

To change the perturbation level of the states to ${10}^{-7}\left(1+|x|\right)$, where x is the state value, type:

blockname='magball/Magnetic Ball Plant'
set_param(blockname,'StatePerturbationForJacobian','1e-7')

To change the perturbation level of the input to ${10}^{-7}\left(1+|x|\right)$, where x is the input signal value:

1. Open the system and get the block port handles.

sys = 'magball';
open_system(sys)
blockname = 'magball/Magnetic Ball Plant';
ph = get_param(blockname,'PortHandles')

2. Get the handle to the inport value.

p_in = ph.Inport(1)

3. Set the inport perturbation level.

set_param(p_in,'PerturbationForJacobian','1e-7')

### Perturbation Levels of Integer Valued Blocks

A custom block that requires integer input ports for indexing might have linearization issues when this block:

• Does not support small perturbations in the input value

• Accepts double-precision inputs

To fix the problem, try setting the perturbation level of such a block to zero (which sets the block linearization to a gain of 1).