TRANSIENT-RESPONSE ANALYSISFIRST ORDER SYSTEM

SECOND ORDER SYSTEM

TRANSIENT RESPONSE AND STEADY STATE

RESPONSE

TRANSIENT RESPONSE AND STEADY STATE RESPONSE

Transient Response

Transient Response

Steady-State Response

Steady-State Response

Figure 1 Figure 2

FIRST ORDER SYSTEM

K 12s+1

R(s) C(s)

Transfer function:

Plot of Response System

t = (tau)

EXAMPLE 1K 5

3s+9R(s) C(s)

◦ Plot rensponse system control

◦ Constant time

◦ Steady state error (Ess)

Answer:

Error steady state

Output (respon steady state)

Constant time

= constant time

c(t)= input x 63% = 1 x 0.63 = 0.63

Error steady state is defined by

Ess = Input-Output

Ess = 1- 0.847

= 0.153

SECOND ORDER SYSTEM

K1

(𝑠+1)(𝑠+2)C(s)R(s)

Transfer function: =

CHART OF RESPONSE SYSTEM

tr

tp

ts

0.02 or 0.05

Steady state

overshoot

A B C

D

E FG H

EXAMPLE 2

Plot response control systemPeak time (tp)Maximum overshootSettling time (ts)Steady state error (Ess)

K 9(𝑠+3)(𝑠+5)

C(s)R(s)

error steady state

Output (respon steady state)

error steady state

Output (respon steady state)

QUESTION ???

CONCLUSIONOn first order system the value of (tau) will decide accelerate of response system from start statecondition until steady state. The fewer the constant time, response will be better.

While on second order system influenced by the value of and . The more the value of , response will be deeper.

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