Limit rate of change of signal
Discontinuities
The Rate Limiter block limits the first derivative of the signal passing through it. The output changes no faster than the specified limit. The derivative is calculated using this equation:`
$$rate=\frac{u(i)-y(i-1)}{t(i)-t(i-1)}$$
u(i) and t(i) are the current block input and time, and y(i–1) and t(i–1) are the output and time at the previous step. The output is determined by comparing rate to the Rising slew rate and Falling slew rate parameters:
If rate is greater than the Rising slew rate parameter (R), the output is calculated as
$$y(i)=\Delta t\cdot R+y(i-1).$$
If rate is less than the Falling slew rate parameter (F), the output is calculated as
$$y(i)=\Delta t\cdot F+y(i-1).$$
If rate is between the bounds of R and F, the change in output is equal to the change in input:
$$y(i)=u(i)$$
When the block is running in continuous mode (for example, Sample
time mode is inherited
and Sample
time of the driving block is zero), the Initial
condition is ignored. The block output at t =
0
is equal to the initial input:
$$y(0)=u(0)$$
When the block is running in discrete mode (for example, Sample
time mode is inherited
and Sample
time of the driving block is nonzero), the Initial
condition is preserved:
$$y(-1)=Ic$$
where Ic is the initial condition. The block
output at t = 0
is calculated as if rate is
outside the bounds of R and F.
For t = 0
, rate is calculated
as follows:
$$rate=\frac{u(0)-y(-1)}{sample\text{\hspace{0.17em}}time}$$
Note: You cannot use a Rate Limiter block inside a Triggered Subsystem. Use the Rate Limiter Dynamic block instead. |
The Rate Limiter block accepts and outputs signals of any numeric
data type that Simulink^{®} supports, except Boolean
.
The Rate Limiter block supports fixed-point data types.
For more information, see Data Types Supported by Simulink in the Simulink documentation.
Specify the limit of the derivative of an increasing input signal. This parameter is tunable for fixed-point inputs.
Specify the limit of the derivative of a decreasing input signal. This parameter is tunable for fixed-point inputs.
Specify the sample time mode, continuous
or inherited
from
the driving block.
Set the initial output of the simulation. Simulink software
does not allow you to set the initial condition of this block to inf
or NaN
.
Linearization commands in Simulink software treat this block as a gain in state space. Select this check box to cause the linearization commands to treat the gain as 1; otherwise, the commands treat the gain as 0.
Direct Feedthrough | Yes |
Sample Time | Continuous or inherited (specified in the Sample time mode parameter) |
Scalar Expansion | Yes, of input and parameters |
Dimensionalized | Yes |
Zero-Crossing Detection | No |