K10945 control assignment gajendra meena
-
Upload
gajendra005 -
Category
Engineering
-
view
187 -
download
0
Transcript of K10945 control assignment gajendra meena
![Page 1: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/1.jpg)
CAREER POINT UNIVERSITY
MAJOR ASSIGNMENTON
Design and analysis of open loop transfer function
![Page 2: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/2.jpg)
In modern era , control system play a vital role in human life. A control system is an interconnection of component forming a system configuration in which any quantity of interest or altered in accordance with a desired manner. The basic control system are :
Input Control system output
![Page 3: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/3.jpg)
Definition Without feedback or non feed back control
system is known as open loop control system. The element of an open loop control system
can usually be divided into two parts:The actuating deviceThe controlled process
![Page 4: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/4.jpg)
Open loop control systems are simple in construction.
Open loop control system in cheap. Generally the open loop systems are stable. The maintenance required for open loop
system is less. Calibration of open loop control system is
easily.
![Page 5: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/5.jpg)
Open loop system are inaccurate. The accuracy is depend up on the calibration of input.
The open loop systems are not reliable, the operation of these is affected due to the presence of non linearties in its element.
Optimization of open loop system is not possible.
![Page 6: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/6.jpg)
“The transfer function is define as the ratio of the Laplace transform of the output quantity to the Laplace transform of the input quantity, with all initial condition assumed to the zero.”
Then the transfer function is Transfer function=output/input
G(s)=Y(s)/R(s)
![Page 7: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/7.jpg)
G(S)=Y(S)/R(S)
R(S) G(s) Y(s)
![Page 8: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/8.jpg)
Its provide the gain of the system. Integral and differential equation are
converted to algebraic equation. The transfer function is dependent on the
parameters of the system and independent of the system.
If transfer function G(s) is known than any output for any given input , can be known.
![Page 9: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/9.jpg)
Transfer function can be calculated only for linear and time invariant system.
Consider only when initial condition are zero. Its does not give any information about
physical structure of the system.
![Page 10: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/10.jpg)
Zeros are defined as the root of the polynomial of the numerator of the transfer function.
Poles are the defined as the root of the polynomial of the denominator of the transfer function.
![Page 11: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/11.jpg)
The value of s which are substitued in the denominator of the transfer function after substituting the value of y the transfer function becomes “infinite “, these values are called poles of the transfer function.
Like P1,P2,------Pn are those value which makes the transfer function infinite when substitute in previous equation.
![Page 12: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/12.jpg)
The value of s which are substituted in the numerator of the transfer function, after substituting the value, the transfer function becomes “Zeros” these values are the called zeros of the transfer function.
Like Z1,Z2,--------Zn are those value which makes the transfer function zero.
![Page 13: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/13.jpg)
When the value of poles and zeros are not repeated , such poles and zeros are called simple poles and zeros . If repeated such poles and zeros are called multiple poles and zeros .
The order of repeated pole and zeros is equal to the number of times they are repeated.
![Page 14: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/14.jpg)
If all the poles of the system lie in left halfplane the system is said to be Stable.
If any of the poles lie in right half plane thesystem is said to be unstable.
If pole(s) lie on imaginary axis the system issaid to be marginally stable.
![Page 15: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/15.jpg)
P1=[8 56 96]; Q1=[1 4 9 10]; Sys=tf(P1,Q1) Roots(P1); Roots(Q1); pzMAP(sys);
![Page 16: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/16.jpg)
![Page 17: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/17.jpg)
Num=[49]; Den=[ 1 4 9 ]; Sys=tf(num,den); load ltiexamples ltiview
![Page 18: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/18.jpg)
![Page 19: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/19.jpg)
Num=[49 89 96]; Den=[1 4 9]; Sys=tf[Num,Den]; Load ltiexamples ltiview
![Page 20: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/20.jpg)
![Page 21: K10945 control assignment gajendra meena](https://reader036.fdocuments.in/reader036/viewer/2022062306/58ac75a71a28ab4c6c8b4d43/html5/thumbnails/21.jpg)