Backlash#

The block implements the transformation of input signals vector by a single nonlinear static characteristic “Backlash” under dеслиferent initial conditions according to the following algorithm: (1)

(1)#\[\begin{split} y\left(t\right) =\begin{cases}y_1 , & \ если ~ х(t)≤\frac{y_1}{k}-b\\y_2 , & \ если ~ х(t)\geq\frac{y_2}{k}+b \\k\left(x\left(t\right)-b\right) , & если ~ \frac{y(t-∆t)}{k}+b<x\left(t\right)<\frac{y_2}{k}+b, \\k\left(x\left(t\right)+b\right),& если ~ \frac{y_1}{k}-b<x\left(t\right)<\frac{y(t-∆t)}{k}-b \\y(t-∆t), & если ~\frac{y(t-∆t)}{k}-b≤ x\left(t\right)≤\frac{y(t-∆t)}{k}+b \end{cases} \end{split}\]

where:

\(y_1\) – minimum value;

\(y_2\) – maximum value;

\(b\) – half-width of the gap;

\(t\) – current integration step;

\((t-∆t)\) – previous integration step.

1. Properties#

Property	Default value	Description	Units of measurement
Halfwidth of the gap area	1.0	Half the width of gap area	-
Gain	1.0	Gain	-
Initial conditions	0.0	Initial conditions	-
Minimum value	0.0	Minimum value	-
Maximum value	1.0	Maximum value	-

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
Signal	Input	Signal	-	Automation
Signal	Output	Signal	-	Automation

In order to see the connection capabilities of the block, you need to go to page Description of block ports

3. Code generation#

Important

Block supports C source code generation