soln exp-1 by khurram hashmi

7/31/2019 Soln Exp-1 by Khurram Hashmi

1/10

CONTROL SYSTEMS ENGINEERING

LAB ASSIGNMENT

EXPERIMENT-1

Submitted by

Khurram Hashmi

F08-H

0660

To

Engr. Majid Gulzar

12/27/2011


2/10

CHAPTER4 Experiment1

Q1

As the pole moves farther away on real axis . system achieves stability sooner. Thus , nearing

required stable response for farther off poles in a first order system

Q2.(a)

a=4 b=25

Tp 0.69

Ts 2.00%O.S. 25.38

Tr 0.293


3/10

Q2(b)

For doubling real part and maintaining imaginary constant

a=8 b=37

Tp 0.69sec

Ts 1.00sec

%O.S. 6.44

Tr 0.33sec

A reduction in peak amplitude, %age overshoot and settling time while real part is doubled

Q2(c)

For halving real part while maintain imaginary constant

a=2 b=22

Tp 0.69secTs 4.00sec

%O.S. 50.38

Tr 0.26sec

With real part halved, system rises quickly to peak value with greater %age overshoot and

settles later on than before


4/10

Q3(a)

For maintain the real part and doubling the imaginary part

a=4 b=88

Tp 0.34

Ts 2.00

%O.S. 50.38

Tr 0.13

Imaginary part of roots doubled, system rises quicker to peak value with greater % age

overshoot and increased settling time

Q3(b)

For maintain the real part and quadrupling the imaginary part

a=4 b=339.6Tp 0.17

Ts 2.00

%O.S. 70.97

Tr 0.06

Imaginary part of roots quadrupled, system rises even quicker to peak value with much

greater % age overshoot and increased settling time with much oscillation

Poles farther off on imaginary axis


5/10

Q4 (a)

Maintaining damping ratio while doubling natural frequency

a=8 b=100

Tp 0.34

Ts 1.00

%O.S. 25.38Tr 0.147

Q4(b)

Maintaining damping ratio while quadrupling natural frequency

a=16 b=400

Tp 0.17

Ts 0.50%O.S. 25.38

Tr 0.07

With increase in natural frequency, Rise time and settling time decreases but peak value

remains the same (1.25). Overall step response graph form is similar in both cases


6/10

Q5

The real part of the roots contributes to system stability and damping whereas theimaginary part yields instability, overshoot and oscillations. Overall system response

is determined by the %age of both in the root.

A greater real part in the roots means system sees less oscillations and settles quickly A greater imaginary part means system rises quickly to peak value, has less damping

i.e. more oscillations and a greater settling time

CHAPTER4 EXPERIMENT-2Q1(a). same as Q2(a)

Q1 (b). & (c).

Farther away the additional pole is on ve real axis, greater system resemblance to original

system. (F)

Transient response is more affected by poles nearer to origin than those farther away


7/10

Q2.

As the zero moves farther off on theve real axis. System response increases in magnitude

not varying greatly in form from original.


8/10

Q3.

When a=3 and b=4 system E has closest position to pure 2nd

order system when b is being

ignored so b=4 will affect the response lesser

Q4.

When a=30 and b=40 system E has closest position to pure 2nd

order system when b is being

ignored so b=40 will affect the response lesser


9/10

CHAPTER6 Experiment1

Q1.

T(s)=

Q2. K=-1, -2 for overdamped

Q3. K=1, 2 for Underdamped

Q4. K=0 for Critically damped

K=4 for marginally stable


10/10

CHAPTER7 Experiment11. What system types will yield zero steady-state error for step inputs?

Type 1 and Type2 Systems

2. What system types will yield zero steady-state error for ramp inputs?Type 2 systems

3. What system types will yield infinite steady-state error for ramp inputs?

Type 0 systems

3. What system types will yield zero steady-state error for parabolic inputs?(?)

5. What system types will yield infinite steady-state error for parabolic inputs?Type zero and type1 systems

soln exp-1 by khurram hashmi

Documents