विक्रम संवत...........२०७९
मास....................भाद्रपद
पक्ष.....................कृष्ण
तिथि..................एकादशी
वार....................सोमवार
दिनांक................२२-८-२०२२
🙏🏽 🕉️ हर हर महादेव 🕉️
सुविचार :▶️ " एक सज्जन व्यक्ति वह है जो अनजाने में किसी की भावनाओं को ठेस ना पहुंचाये।"
विक्रम संवत.............२०७९
मास................श्रावण
पक्ष.................कृष्ण
तिथि................नवमी
वार..................शुक्रवार
दिनांक...............२२-७-२०२२
🙏🏽 🌼 सुप्रभातम 🌼
सुविचार:↔️ " गर आत्मविश्वास है तो हम शुरू करने से पहले ही जीत चुके हो।"
विक्रम संवत.............२०७९
मास................श्रावण
पक्ष.................कृष्ण
तिथि................सप्तमी
वार..................बुधवार
दिनांक...............२०-७-२०२२
🙏🏽 🌸 वंदेमातरम 🌸
सुविचार:➡️ " ईश्वर बोझ देता है और कंधे भी। "
AIM:-(a) Plot step response of
given TF and 2nd order system with different values of damping ratio
in MATLAB software.
(b) Plot ramp response.
SOFTWARE
USED: -MATLAB (R2021a)
PROCEDURE:-
Step response is the time behaviour of the outputs of a
general system when its inputs change from zero to one in a very short time.
Mathematically,
the step signal is represented as given below:
u(t)= 1 ; t
> 0
= 0 ; t < 0
num =
input(‘enter the numerator of the transfer function’)
den =
input(‘enter the denominator of the transfer function’)
step(num,den)
EXAMPLE:-
T(s)= (s + 1)/
(s3 + s2 + 2s + 1)
num=[1 1]
num = 1
1
>>
den=[1 1 2 1]
den =
1
1 2 1
>>
sys1=tf(num,den)
sys1 =
s + 1
-------------------
s^3 + s^2 + 2 s + 1
Continuous-time
transfer function.
>> step(sys)
EXAMPLE:-
T(s) = 25 / ( s2
+ 2s+ 25)
num=[25]
num =
25
>>
den=[1 2 25]
den =
1
2 25
>>
sys=tf(num,den)
sys =
25
--------------
s^2 + 2 s + 25
Continuous-time
transfer function.
>>wn= 5;
>>
d=0.4;
>>
[num,den]= ord2(wn,d)
num =
1
den =
1
4 25
>>
num1=5^2*num;
>>printsys(num1,den)
num/den =
25
--------------
s^2 + 4 s + 25
>>
step(num1,den)
n=[0 0 36];
d=[1 3 36];
t=0:0.005:2;
u=t;
plot(t,y)
title('Ramp response')
Result: Step response with different values of damping ratio
and ramp response have been plotted and verified using MATLAB for given
transfer function.
1. MATLAB is a software package for high-performance
mathematical computation, visualization, and programming environment. It
provides an interactive environment with hundreds of built-in functions for
technical computing, graphics, and animations.
2. MATLAB is used in a wide
range of applications including signal and image processing, communication,
control design, test and measurement, financial modeling and analysis and
computational biology add-on toolbox (collection of special purpose MATLAB
functions available separately).
3. The technical computing
problems can be solved faster than with traditional programming languages such
as C, C++and FORTRAN.
4. It was developed by Cleve Molar,
Jack little and Steve Bangert around the year 1984 and since then various
versions have been released with additional functionalities.
5.
MATLAB stands
for Matrix Laboratory. MATLAB was written initially to
implement a simple approach to matrix software developed by the LINPACK (Linear
system package) and EISPACK (Eigen system package)
projects.
6.
MATLAB is a modern
programming language environment, and it has refined data structures, includes built-in
editing and debugging tools, and supports object-oriented programming.
7.
MATLAB is Multi-paradigm.
So, it can work with multiple types of programming approaches, such as
Functional, Object-Oriented, and Visual.
MATLAB can be used for
various applications that includes: -
1. Development environment
for managing code, file and data.
2. Interactive tools for
iterative exploration, design and problem solving and simulation.
3. Mathematical function for
linear algebra, statistics, Fourier analysis, filtering, optimization and
numerical integration
4. 2-D and 3-D graphics
functions for visualizing data
5. Functions for integrating
MATLAB based algorithm with external applications and languages such as C, C++,
Fortran, JAVA and Microsoft excel.
This Software platform
provides sets of various functions clubbed in the form of toolbox, in order to
make it user friendly, some of the toolboxes that cater to electrical engineering
field are:-
1. Communication toolbox.
2. Control system toolbox.
3. Data acquisition toolbox.
4. Filter design toolbox.
5. Fuzzy logic toolbox.
6. Image Processing toolbox.
7. Instrument toolbox.
8. Neural Network toolbox.
9. Robust control toolbox.
10. Signal Processing toolbox.
