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101

5 Arrays of LTI Models

5-24

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,andlft

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

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 toLTIarrays.Theseplottingfunctionsarealsoappliedonamodel

by model basis.

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