3.4. Transfer Functions
A transfer function relates inputs to outputs in the Laplace domain. In particular, the Laplace domain relationship between a manipulated input and output is called a process transfer function.
Consider an nth order differential equation,
Equation 3.22a
Since we are assuming that the model is based on deviation variables, and that the system is initially at steady state, the initial conditions are
Equation 3.22b
Taking the Laplace transform of each term,
Solving for Y(s), we find
The ratio of polynomials is called the ...
Get Process Control: Modeling, Design, and Simulation now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.