␡
- Background
- Linear State Space Models
- Introduction to Laplace Transforms
- Transfer Functions
- First-Order Behavior
- Integrating System
- Second-Order Behavior
- Lead-Lag Behavior
- Poles and Zeros
- Processes with Dead Time
- Padé Approximation for Dead Time
- Converting State Space Models to Transfer Functions
- Matlab and Simulink
- Summary
- References
- Student Exercises
This chapter is from the book
This chapter is from the book
This chapter is from the book
This chapter is from the book
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 e–qs.
A first-order process combined with a time-delay has the transfer function
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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.
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Figure 3-15. Response of a first-order + dead time process.