Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
4th Edition
ISBN: 9781119285915
Author: Seborg
Publisher: WILEY
Question
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Chapter 4, Problem 4.2E
Interpretation Introduction

(a)

Interpretation:

The steady-state gain of the equation G(s)=Y(s)U(s)=3e-s10s+1 needs to be stated.

Concept introduction:

Steady-state gain is the steady-state value of transfer function which has been attended by a given unit step in the input.

Interpretation Introduction

(b)

Interpretation:

The time constant needs to be determined.

Concept introduction:

The time constant usually is denoted by using the Greek letter τ, which is the parameter characterizing the response to a step input of a first-order, linear time-invariant system. The time constant is the main characteristic unit of a first-order system.

Interpretation Introduction

(c)

Interpretation:

The value of the output Y(t) needs to be determined when the value of t and U(s)=4s.

Concept introduction:

Steady-state gain is the steady-state value of transfer function which has attended by given unit step in the input.

Interpretation Introduction

(d)

Interpretation:

The value of output needs to be determined, when t=10 and the input is the same and also the output needs to be determined when expressed as the fraction of the new steady-state equation.

Concept introduction:

Steady-state gain is the steady-state value of transfer function which has attended by given unit step in the input.

Interpretation Introduction

(e)

Interpretation:

The value of the output needs to be determined.

Concept introduction:

A final value theorem requires the time domain actions to be determined simply by taking a maximum of a frequency domain expression, as opposed to translating by adding the limit to a time-domain expression.

Interpretation Introduction

(f)

Interpretation:

The output value of the given equation if u(t)(t), t=0 and t needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of transfer function which has attended by given unit step in the input.

Interpretation Introduction

(g)

Interpretation:

The output value of the given equation needs to be determined, if u(t)=5 sin(2t), when t.

Concept introduction:

Steady-state gain is the steady-state value of transfer function which has attended by given unit step in the input.

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