Chapter 6 Empirical Model Identification
Check Your Reading Study Questions Thought Questions
The questions will be categorized according to the three key concepts in this chapter.
Experimental Method  Process Reaction Curve  Statistical Method 
Check Your Reading 
Solidify the Concepts 
6.1 Why do practicing engineers often use empirical models and not always develop fundamental models? 
6.2 To apply the process reaction curve (graphical) method, the process response must be... 
Process Reaction Curve 
6.3 What is the major deficiency in process reaction curve Method I? 
Process Reaction Curve 
6.4 What was the basis for selecting the times to be at 28% and 63% of the total change in Method II? 
Experimental Method 
6.5 How can we determine how close to linear a process behaves? 
Experimental Method 

In a strictly linear system, the parameters do
not change with operating conditions.
(K_{p} = gain, t = time constant, and q = dead time) 

6.6 When we determine a model using the statistical method, the parameters a and b are estimated by minimizing the sum of the squares between the data and model. What key result simplifies the solution? 
Statistical Method 