Creating and Manipulating Models

Operations on LTI Arrays

Using LTI arrays, you can apply almost all of the basic model operations that work on single LTI models to entire sets of models at once. These basic operations include

• The arithmetic operations: +, -, *, /,\,',.'
• The functions: concatenation along I/O dimensions ([,], [;]), feedback, append, series, parallel, and lft

When you apply any of these operations to two (or more) LTI arrays (for example, sys1 and sys2), the operation is implemented on a model-by-model basis. Therefore, the kth model of the resulting LTI array is derived from the application of the given operation to the kth model of sys1 and the kth model of sys2.

For example, if sys1 and sys2 are two LTI arrays and

• sysa = op(sys1,sys2)
  

then the kth model in the resulting LTI array sys is obtained by adding the kth models in sys1 to the kth model in sys2

• sysa(:,:,k) = sys1(:,:,k) + sys2(:,:,k)
  

You can also apply any of the response plotting functions such as step, bode, and nyquist to LTI arrays. These plotting functions are also applied on a model by model basis.

Deleting Parts of an LTI Array

Example: Addition of Two LTI Arrays