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repsys

Replicate and tile models

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Syntax

rsys = repsys(sys,[M N])
rsys = repsys(sys,N)
rsys = repsys(sys,[M N S1,...,Sk])

Description

rsys = repsys(sys,[M N]) replicates the model sys into an M-by-N tiling pattern. The resulting model rsys has size(sys,1)*M outputs and size(sys,2)*N inputs.

rsys = repsys(sys,N) creates an N-by-N tiling.

rsys = repsys(sys,[M N S1,...,Sk]) replicates and tiles sys along both I/O and array dimensions to produce a model array. The indices S specify the array dimensions. The size of the array is [size(sys,1)*M, size(sys,2)*N, size(sys,3)*S1, ...].

Input Arguments

sys

Model to replicate.

M

Number of replications of sys along the output dimension.

N

Number of replications of sys along the input dimension.

S

Numbers of replications of sys along array dimensions.

Output Arguments

rsys

Model having size(sys,1)*M outputs and size(sys,2)*N inputs.

If you provide array dimensions S1,...,Sk, rsys is an array of dynamic systems which each have size(sys,1)*M outputs and size(sys,2)*N inputs. The size of rsys is [size(sys,1)*M, size(sys,2)*N, size(sys,3)*S1, ...].

Examples

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Open Live Script

Create a single-input single-output (SISO) transfer function.

sys = tf(2,[1 3])
sys =
 
    2
  -----
  s + 3
 
Continuous-time transfer function.

Replicate the SISO transfer function to create a MIMO transfer function that has three inputs and two outputs.

rsys = repsys(sys,[2 3])
rsys =
 
  From input 1 to output...
         2
   1:  -----
       s + 3
 
         2
   2:  -----
       s + 3
 
  From input 2 to output...
         2
   1:  -----
       s + 3
 
         2
   2:  -----
       s + 3
 
  From input 3 to output...
         2
   1:  -----
       s + 3
 
         2
   2:  -----
       s + 3
 
Continuous-time transfer function.

Alternatively, you can obtain the MIMO transfer function as follows:

rsys = [sys sys sys; sys sys sys];
Open Live Script

Create a SISO transfer function.

sys = tf(2,[1 3]);

Replicate the transfer function into a 3-by-4 array of two-input, one-output transfer functions.

rsys = repsys(sys,[1 2 3 4]);

Check the size of rsys.

size(rsys)
3x4 array of transfer functions.
Each model has 1 outputs and 2 inputs.

Tips

rsys = repsys(sys,N) produces the same result as rsys = repsys(sys,[N N]). To produce a diagonal tiling, use rsys = sys*eye(N).

Version History

Introduced in R2010b

See Also