a. Many chemical processes can be modelled by the following transfer functions. K -e-Tds Js +1 G(s) = Where K is the gain, J is the time constant, and Td is the time delay. Obtain the transfer function for the system in terms of the system parameters. Assume that the time delay. Td is a multiple of the sample time T. b. Find the digital filter which is derived from the first-order analog low-pass filter using the exponential method. ab Gp(s) = (s +a)(s + b) c. In your own words clearly explain the importance of digital controls.

Introductory Circuit Analysis (13th Edition)
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a. Many chemical processes can be modelled by the following transfer functions.
G(s):
K
e-Tds
Js +1
Where K is the gain, J is the time constant, and Td is the time delay. Obtain the transfer
function for the system in terms of the system parameters. Assume that the time delay.
Td is a multiple of the sample time T.
b. Find the digital filter which is derived from the first-order analog low-pass filter using the
exponential method.
ab
Gp(s)
=
(s + a)(s + b)
c. In your own words clearly explain the importance of digital controls.
Transcribed Image Text:a. Many chemical processes can be modelled by the following transfer functions. G(s): K e-Tds Js +1 Where K is the gain, J is the time constant, and Td is the time delay. Obtain the transfer function for the system in terms of the system parameters. Assume that the time delay. Td is a multiple of the sample time T. b. Find the digital filter which is derived from the first-order analog low-pass filter using the exponential method. ab Gp(s) = (s + a)(s + b) c. In your own words clearly explain the importance of digital controls.
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