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3.10 Processes with Dead Time

Many processes have a delayed response to a process input, either due to transport lags (such as flow through pipes) or high-order effects. In Section 3.3.4 we found that a time-delay of q time units had a transfer function of eqs.

A first-order process combined with a time-delay has the transfer function

03equ56.gif

Consider a process with kp = 1, tp = 10, and q = 5. A unit step input change at t = 0 yields the response shown in Figure 3-15. We see that the time-delay shifts the response of the output.

03fig15.gifFigure 3-15. Response of a first-order + dead time process.


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