Deadband
The Dead Band block provides a region of zero output.
It’s a range of inputs for which the output remains unchanged. Outside that range there is a linear relationship between the deadband input u(k) and the dead band output v(k).
Below is shown a graph of a particular deadband:
It is defined by:
Where
When the input u(k) is between Cs and CE, the output v(k) is zero. When the input is greater than or equal to the upper limit CE, the output is the input minus the upper limit. When the input is less than or equal to the lower limit Cs, the output is the input minus the lower limit.
The following is an example of a system with deadband. Open this example in Xcos
The input is a sine wave. The magnitude is set to 2, the frequency to 1.25 and the phase to 0. The Deadband block has the following parameters:
This plot shows the effect of the dead band on the sine wave.