Chapter 6, Problem 6.9E

Interpretation Introduction

(a)

Interpretation:

The values of gain, time delay, time constant, poles and zeroes of the given transfer function should be determined.

Concept introduction:

• Gain: At steady state, the proportional value which shows the relationship between magnitude of input and output signal, is known as Gain of the Transfer Function.
• Poles: The values of $\left(\text{s}\right)$ at which the denominator of the transfer function is equal to zero, is known as Poles of Transfer function.
• Zeroes: The values of $\left(\text{s}\right)$ at which the Numerator of the transfer function is equal to zero, is known as Zeroes of Transfer Function.

Interpretation Introduction

(b)

Interpretation:

Whether oscillation or inverses response is present or not is to be stated.

Concept introduction:

A transfer function model characterizes the dynamicrelationship of two process variables:

1. A dependentvariable (or output variable).
2. An independent variable (or input variable).

Transfer function models areonly directly applicable to processes that exhibit lineardynamic behavior, such as a process that can be modeledby a linear ODE. If the process is nonlinear, a transferfunction can provide an approximate linear model.