# Documentation

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# totaldelay

Total combined I/O delays for LTI model

## Syntax

td = totaldelay(sys)

## Description

td = totaldelay(sys) returns the total combined I/O delays for an LTI model sys. The matrix td combines contributions from the InputDelay, OutputDelay, and ioDelayMatrix properties.

Delays are expressed in seconds for continuous-time models, and as integer multiples of the sample period for discrete-time models. To obtain the delay times in seconds, multiply td by the sample time sys.Ts.

## Examples

sys = tf(1,[1 0]);	  % TF of 1/s
sys.inputd = 2; 	  % 2 sec input delay
sys.outputd = 1.5;	  % 1.5 sec output delay
td = totaldelay(sys)
td =
3.5000

The resulting I/O map is

${e}^{-2s}×\frac{1}{s}{e}^{-1.5s}={e}^{-3.5s}\frac{1}{s}$

This is equivalent to assigning an I/O delay of 3.5 seconds to the original model sys.