Dead zone

Zero output inside ±half-width.

signal
Gradara equations
2 ports
1 parameter

BlockDead zoneKinddeadzoneLibraryNonlinear

Description

Outputs zero while the input is within ±Half-width. Outside that band the output is the input shifted toward zero by Half-width, so it is continuous at the band edges.

Example

Nonlinearities Saturation, dead zone, relay, and rate limiter acting on the same sine.

Sine, amplitude 2Saturation ±1Dead zone ±0.5RelayRate limit 2/s

In Gradara, select a Dead zone block and press F1, then choose Open example. It opens as a new model in My models, ready to run.

Also in this example:Saturation Sine wave Relay Rate limiter

Ports

Inputs 1

usignal

Input signal.

Outputs 1

ysignal

Output signal.

Parameters

Half-widthstart0.1

≥ 0

Half-width of the dead band. 0 or more; 0 passes the input unchanged.

Equations

Modelica

y = u − start if u > start
y = u + start if u < −start
y = 0 otherwise

Implementation

The block’s Modelica model

y = if u > start then u - start else (if u < -start then u + start else 0);

Assumptions and limitations

The band is symmetric around zero.