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Discrete Varying Delay

Discrete varying delay with support for fixed delay and zero delay (direct feedthrough)

Since R2024a

  • Varying Discrete Delay block icon

Control System Toolbox / Linear Parameter Varying


The Discrete Varying Delay block extends the functionality of the Variable Integer Delay (Simulink) block in the Simulink / Discrete library by providing additional support for specifying fixed and zero delays. This block is helpful when you want to model a mix of zero, fixed, and varying delays, which can occur in LPV models.


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This example shows how to use the Discrete Varying Delay block provided with the Control System Toolbox™ library. This block is useful when you want to model fixed, varying, and zero delays for individual channels in the signal using just one block.

Open the model provided with this example.

mdl = "DiscreteVarDelayModel";

This model contains a ramp source connected to a Rate Transition block to generate a 3-by-1 discrete signal with sample time 0.2 s. The ramp signals have a slope of 1, 2, and 3 at the corresponding indices. The Sine Wave block generates a signal for the varying delay port.

For this model, specify:

  • A varying delay with a nominal delay of 1 s (5 samples) in the first channel of the ramp signal. The instantaneous value of the varying delay value is provided by the Sine Wave block. When the varying delay output is noninteger, the block rounds the delay value to the nearest integer.

  • A fixed delay of 3 s (15 samples) in the second channel of the ramp signal.

  • A zero delay (feedthrough) for the third channel of the ramp signal.

Configure the block parameters as shown.

Specify the nominal delay parameter as a vector with values 5, 15, and 0 corresponding to the delays (in samples) in each channel. Use the Fixed delays (indices) parameter to specify fixed delays for channels 2 and 3.

Examine the structure under the block mask. The block automatically configures the delays based on the specified settings. The varying delay length input has a Saturation block to ensure that the delay is nonnegative. Therefore, it provides a value of 0 when sin(k*Ts) becomes negative. The block also rounds any noninteger input values to the nearest integer value.

Run the model and view the result.


As you can see, the first channel has a varying delay, the second channel has a fixed delay of 3 s (15 samples), and the third channel has zero delay.




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Input data signal delayed according to parameters settings.

This port has direct feedthrough when you specify a signal delay as fixed using the Fixed delays (indices) parameter and specify a value 0 for the Nominal delay parameter.

Instantaneous delay length input specified as a scalar or vector. This value is used to specify the varying delay. The block treats any negative input values as zero.

When the delay length input is a noninteger value, the block rounds the value to the nearest integer.


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Output signal specified as a scalar or vector.


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To edit block parameters interactively, use the Property Inspector. From the Simulink® Toolstrip, on the Simulation tab, in the Prepare gallery, select Property Inspector.

Specify the nominal value of delays as the number of samples.

Set the maximum value of the time delay input. This value defines the largest delay length input that this block allows. The block clips any delay that exceeds this value.

Specify the indices of the input signal channels where the delays are fixed. For example, if you have a 4-by-1 input signal and you want to specify fixed delay in the first and fourth channel, use a value [1 4] for this parameter. The block uses the value specified at the corresponding index of the Nominal delay parameter.

When you list all channels as fixed, the block disables the second input port Port_2.

For each input channel, specify the output value until the simulation time first exceeds the time delay for the channel.

Specify the time interval between samples. To inherit the sample time, set this parameter to -1. This block supports discrete sample time, but not continuous sample time.

Select to increase the minimum delay length from zero to 1.

Selecting this check box prevents direct feedthrough from the input port, u, to the output port.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2024a