repsys

Replicate and tile models

Syntax

rsys = repsys(sys,[M N])

rsys = repsys(sys,N)

rsys = repsys(sys,[M N,S1 S2 ... 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. This syntax produces the same result as rsys = repsys(sys,[N N]). To produce a diagonal tiling, use rsys = sys*eye(N).

rsys = repsys(sys,[M N,S1 S2 ... 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, ...].

Examples

Replicate SISO Transfer Function to Create MIMO Transfer Function

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];

Replicate SISO Transfer Function to Create Array of Transfer Functions

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.

Input Arguments

sys — Dynamic system

dynamic system model | model array

Dynamic system (SISO or MIMO), specified as one of the following dynamic system models or an array of such models.

• Continuous-time or discrete-time numeric LTI models, such as tf, zpk, or ss models.

• Generalized or uncertain LTI models such as genss or uss (Robust Control Toolbox) models. (Using uncertain models requires Robust Control Toolbox™ software.)

• Frequency-response data models, such as frd models.

• Identified LTI models, such as idtf (System Identification Toolbox), idss (System Identification Toolbox), or idproc (System Identification Toolbox) models. (Using identified models requires System Identification Toolbox™ software.)

M — Number of replications along output dimension

positive integer

Number of replications of sys along the output dimension, specified as a positive integer.

N — Number of replications along input dimension

positive integer

Number of replications of sys along the input dimension, specified as a positive integer.

S1 S2 ... SK — Number of replications along array dimensions

positive integers

Numbers of replications of sys along array dimensions, specified as positive integers.

Output Arguments

rsys — Replicated dynamic system

dynamic system model | model array

Replicated dynamic system, returned as a dynamic system model or model array.

If you specify sys as a single SISO or MIMO model and you do not specify array dimensions S1,..., SK, then rsys is a dynamic system model with size(sys,1)*M outputs and size(sys,2)*N inputs.

Otherwise, rsys is an array of dynamic systems, each with 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, ...].

Version History

Introduced in R2010b