this persentation is explaining about transient response analysis on matlab.

1. TRANSIENT-
RESPONSE
ANALYSIS
FIRST ORDER SYSTEM
SECOND ORDER SYSTEM
TRANSIENT RESPONSE
AND STEADY STATE
RESPONSE

2. TRANSIENT RESPONSE AND STEADY STATE
RESPONSE
Transient
Response
Transient
Response
Steady-State
Response
Steady-State
Response
Figure 1 Figure 2

3. FIRST ORDER SYSTEM
K
1
2s+1
R(s) C(s)
Transfer function:

4. Plot of Response System
t = 𝜏 (tau)

5. EXAMPLE 1
K
5
3s+9
R(s) C(s)
◦ Plot rensponse system control
◦ Constant time
◦ Steady state error (Ess)

6. Answer:

8. Error
steady
state
Output
(respon steady state)
Constant time
𝜏 = constant time
c(t)= input x 63% = 1 x 0.63 = 0.63

9.  Error steady state is defined by
Ess = Input-Output
Ess = 1- 0.847
= 0.153

10. SECOND ORDER SYSTEM
K
1
(𝑠 + 1)(𝑠 + 2)
C(s)R(s)
Transfer function: 𝐶(𝑠)
𝑅(𝑠)
=
𝐾
𝑠2+3𝑠+(2+𝐾)

11. CHART OF RESPONSE SYSTEM
tr
tp
ts
0.02 or 0.05
Steady state
overshoot
A B C
D
E F
G H

12. EXAMPLE 2
Plot response control system
Peak time (tp)
Maximum overshoot
Settling time (ts)
Steady state error (Ess)
K
9
(𝑠 + 3)(𝑠 + 5)
C(s)R(s)

14. error steady state
Output
(respon steady state)

16. error steady state
Output
(respon
steady
state)

20. QUESTION ???

21. CONCLUSION
On first order system the value of 𝜏 (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.

22. THANK YOU