Scilab/C4/Control-systems/English-timed - Revision history

PoojaMoolya at 05:34, 10 March 2017

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Sandhya.np14 at 16:21, 3 March 2015

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Sandhya.np14 at 16:17, 3 March 2015

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Sandhya.np14 at 12:19, 3 March 2015

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Sandhya.np14 at 08:51, 3 March 2015

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PoojaMoolya at 06:09, 24 July 2014

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Gaurav at 05:27, 11 July 2014

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Devraj at 04:53, 9 June 2014

2014-06-09T04:53:15Z

PoojaMoolya: Created page with '{| Border=1 || Time || Narration |- | 00.01 |Dear Friends, |- | 00.02 | Welcome to the spoken tutorial on ''' “Advanced Control of Continuous Time systems” ''' |- | 00.…'

2014-03-18T06:10:29Z

Created page with '{| Border=1 || Time || Narration |- | 00.01 |Dear Friends, |- | 00.02 | Welcome to the spoken tutorial on ''' “Advanced Control of Continuous Time systems” ''' |- | 00.…'

New page

{| Border=1

|| Time

|| Narration

|-
| 00.01
|Dear Friends,

|-
| 00.02
| Welcome to the spoken tutorial on ''' “Advanced Control of Continuous Time systems” '''

|-
| 00.09
| At the end of this tutorial, you will learn how to

|-
|00.12
|Define a continuous time system: second and higher order

|-
|00.17
|Plot response to '''step''' and sine inputs

|-
| 00.20
|Do a '''Bode plot'''

|-
|00.22
|Study '''numer''' and ''' denom Scilab functions'''

|-
| 00.26
|Plot ''' poles''' and '''zeros''' of a system

|-
| 00.30
| To record this tutorial, I am using

|-
|00.33
|'''Ubuntu 12.04''' as the operating system with

|-
|00.36
|'''Scilab 5.3.3''' version

|-
| 00.40
| Before practising this tutorial, a learner should have basic knowledge of '''Scilab''' and '''control systems.'''

|-
| 00.48
| For '''Scilab,''' please refer to the '''Scilab tutorials''' available on the '''Spoken Tutorial website.'''

|-
|00.55
|In this tutorial, I will describe how to define '''second-order linear system.'''

|-
|01.02
| So, first we have to define '''complex domain variable 's'.'''

|-

|01.08

|Let us switch to the ''' Scilab console window. '''

|-

|01.11
|Here type ''' s equal to poly open paranthesis zero comma open single quote s close single quote close paranthesis''' , press '''Enter.'''

|-

| 01.25

|The output is ''' 's'. '''

|-

| 01.27
|There is another way to define ''' 's' ''' as '''continuous time complex variable. '''

|-

|01.32

|On the '''console''' window, type:

|-

|01.35

| ''' s equal to percentage s''', press '''Enter.'''

|-
|01.41
|Let us study the ''' syslin Scilab command.'''

|-

|01.44

|Use the '''Scilab''' function ''' ’syslin’ ''' to define the continuous time system.

|-

|01.51

||''' G of s is equal to 2 over 9 plus 2 s plus s square'''

|-
|01.58
|Use ''' csim''' with '''step''' option, to obtain ''' the step response''' and then plot the step response.

|-

| 02.06
|Let us switch to the '''Scilab console''' window.

|-

|02.09

||Here type:''' sys capital G equal to syslin open paranthesis open single quote c close single quote comma two divide by open paranthesis s square plus two asterik s plus nine close paranthesis close paranthesis '''

|-

|02.32

| Here '''c''' is used as we are defining a continuous time system.

|-

|02.38

| Press '''Enter'''

|-

| 02.40

||The output is linear second order system represented by

|-
| 02.44
|'''2 over 9 plus 2 s plus s square'''

|-
|02.49
| Then type ''' t equal to zero colon zero point one colon ten semicolon'''

|-
|02.57
| Press '''Enter.'''

|-
| 02.59
|Then type ''' y one is equal to c sim open paranthesis open single quote step close single quote comma t comma sys capital G close the paranthesis semicolon'''

|-
| 03.15
|Press '''Enter. '''

|-
| 03.17
|Then type ''' plot open paranthesis t comma y one close paranthesis semicolon'''

|-
| 03.24
|Press ''' Enter.'''

|-
|03.26
|The output will display the ''' step response of the given second order system.'''

|-
|03.33
|Let us study the ''' Second Order system response for sine input.'''

|-

| 03.39

|''' Sine inputs''' can easily be given as inputs to a ''' second order system to a continuous time system.'''

|-

| 03.47
|Let us switch to the '''Scilab console''' window.

|-

|03.51

|| Type ''' U two is equal to sine open paranthesis t close paranthesis semicolon'''

|-

| 03.59
| Press ''' Enter. '''

|-

| 04.01

|Then type ''' y two is equal to c sim open paranthesis u two comma t comma sys capital G close the bracket semicolon '''

|-

| 04.15

| Press ''' Enter'''

|-

|04.17

||Here we are using ''' sysG, the continuous time second order system''' we had defined earlier.

|-

|04.25

|'Then type '''plot open paranthesis t comma open square bracket u two semicolon y two close square bracket close paranthesis '''

|-

| 04.39

|Make sure that you place a '''semicolon''' between '''u2''' and '''y2''' because '''u2''' and '''y2''' are row vectors of the same size.

|-

| 04.50

|'Press '''Enter.'''

|-

| 04.52

| This plot shows the '''response of the system''' to a '''step input''' and '''sine input.''' It is called the '''response plot. '''

|-

| 05.01

|'''Response Plot''' plots both the input and the output on the same graph.

|-

| 05.06

|As expected, the output is also a ''' sine wave,''' and

|-

| 05.11

|there is a '''phase lag''' between the input and output

|-

| 05.15

|'''Amplitude''' is different for the input and the output, as it is being passed through a '''transfer''' function.

|-

| 05.23

|This is a typical '''under-damped''' example.

|-

|05.26

|Let us plot ''' bode plot of 2 over 9 plus 2 s plus s square'''

|-

| 05.32

|Please note command ''''f r e q'''' is a '''Scilab''' command for '''frequency response.'''

|-

| 05.39

| Do not use '''f r e q as a variable !!'''

|-

| 05.44

|Open the ''' Scilab console''' and type
|-

| 05.47

|''' f r is equal to open square bracket zero point zero one colon zero point one colon ten close square bracket semicolon. '''

|-
| 06.00
| Press '''Enter. '''

|-
| 06.03
|The '''frequency''' is in '''Hertz.'''

|-

| 06.06

|Then type '''bode open paranthesis sys capital G comma fr close paranthesis '''

|-

| 06.15

| and press ''Enter.'''

|-

| 06.17

| The '''bode plot''' is shown

|-

| 06.20

| Let us define another system.

|-

| 06.23

|We have an ''' over-damped system p equal to s square plus nine s plus nine '''

|-

| 06.32

| Let us plot '''step response''' for this system.

|-

| 06.36

|Switch to '''Scilab console. '''

|-

| 06.38

|Type this on your ''' console.'''

|-

| 06.40

|''' p is equal to s square plus nine asterik s plus nine'''

|-

| 06.47

|and then press ''' Enter. '''

|-

| 06.49

|Then type this on your ''' console.'''

|-

| 06.51

|''' sys two is equal to syslin open paranthesis open single quote c close single quote comma nine divided by p close paranthesis '''

|-

| 07.04

|and press ''' Enter.'''

|-

| 07.07

|Then type '''t equal to zero colon zero point one colon ten semicolon '''

|-

| 07.14

|Press ''' Enter.'''

|-

| 07.17

|''' y is equal to c sim open paranthesis open single quote step close single quote comma t comma sys two close the paranthesis semicolon'''

|-

| 07.31

|Press '''Enter'''.

|-

| 07.33

|Then type ''' plot open paranthesis t comma y close paranthesis'''

|-

| 07.39

|Press ''' Enter.'''

|-

| 07.41

|The ''' response plot for over damped system is shown.'''

|-

| 07.46

|To find the ''' roots of p''' type this on your '''console - '''

|-

| 07.49

|''' Roots of p''' and press '''Enter.'''

|-

| 07.54

|These '''roots''' are the poles of the system '''sys two'''

|-

| 07.59

|The '''roots or poles''' of the system are shown.

|-

| 08.02

|Please plot '''Step response''' for this system along similar lines, as for '''over damped system. '''

|-

| 08.11

|'''G of s is equal to 2 over 9 plus 6 s plus s square''' which is a '''critically damped system'''

|-

| 08.20

|Then '''G of s is equal to two over 9 plus s square''' which is an '''undamped system'''

|-

| 08.28

|'''G of s is equal to 2 over 9 minus 6 s plus s square''' which is an '''unstable system'''

|-

| 08.36

|Check '''response to sinusoidal inputs''' for all the cases and '''plot bode plot''' too.

|-

| 08.45

|Switch to ''' Scilab console. ;'''

|-

| 08.48

|For a general '''transfer function''', the numerator and denominator can be specified separately.

|-

| 08.55

| Let me show you how.

|-

| 08.57

|Type on '''console'''

|-

| 08.59

|''' sys three is equal to syslin open paranthesis open single quote c close single quote comma s plus six comma s square plus six asterik s plus nineteen close paranthesis'''

|-

| 09.19

|Press '''Enter'''

|-

| 09.21

|Another way of defining a system, is to type

|-

| 09.24

|'''g is equal to open paranthesis s plus six close paranthesis divided by open paranthesis s square plus six asterik s plus nineteen close paranthesis'''

|-

| 09.40

|Press '''Enter.'''

|-

| 09.42

|Then type this on your '''console'''

|-

| 09.44

|'''sys four is equal to syslin open paranthesis open single quote c close single quote comma g close paranthesis '''

|-

| 09.55

|Press '''Enter.'''

|-

| 09.58

|Both ways, we get the same output;

|-

| 10.01

|'''six plus s over 19 plus six s plus s square '''

|-

| 10.07

|The variable '''’sys’ is of type ’rational’. '''

|-

| 10.10

|Its numerator and denominator can be extracted by various ways.

|-

| 10.16

|'''Sys of two , numer of sys or numer of g''' gives the numerator.

|-

| 10.22

|The denominator can be calculated using '''sys(3) or denom of sys functions. '''

|-

| 10.30

|The poles and zeros of the system can be plotted using p l z r function.

|-

| 10.37

|The syntax is p l z r of sys

|-

| 10.41

|The plot shows x for poles and circles for zeros.

|-

| 10.46

|Switch to Scilab console.

|-

| 10.48

|Type this on your Scilab console.

|-

| 10.50

|sys three open paranthesis two close paranthesis

|-

| 10.55

|Press Enter.

|-

| 10.56

|This gives the numerator of the rational function 'sys three' that is 6 + s

|-

| 11.03

|Otherwise, you can type

|-

| 11.05

|numer open paranthesis sys three close paranthesis.

|-

| 11.11

|Press Enter

|-

| 11.13

|The numerator of system three is shown.

|-

| 11.17

|To get the denominator, type

|-

| 11.19

|sys three open paranthesis three close paranthesis. Press Enter.

|-

| 11.26

|The denominator of the function is shown.

|-

| 11.30

|You can also type denom open paranthesis sys three close paranthesis.

|-

| 11.36

|Press Enter.

|-

| 11.38

|Then type p l z r open paranthesis sys three close paranthesis.

|-

| 11.44

|Press Enter.

|-

| 11.47

|The output graph plots the poles and zeros.

|-

| 11.50

|It shows cross and circle' for poles and zeros of the system respectively.

|-

| 11.58

|It is plotted on the complex plane.

|-

| 12.01

|In this tutorial, we have learnt how to:

|-

| 12.03

|Define a system by its transfer function.

|-

| 12.08

|Plot step and sinusoidal responses.

|-

| 12.11

|Extract poles and zeros of a transfer function.

|-
|12.15
| Watch the video available at the following link

|-

| 12.19

| It summarises the Spoken Tutorial project

|-

|12.22

||If you do not have good bandwidth, you can download and watch it

|-

|12.27

||The spoken tutorial project Team

|-

|12.29

||Conducts workshops using spoken tutorials

|-

|12.32

||Gives certificates to those who pass an online test

|-

|12.36

||For more details, please write to contact@spoken-tutorial.org

|-

|12.43

|Spoken Tutorial Project is a part of the Talk to a Teacher project

|-

| 12.47

| It is supported by the National Mission on Eduction through ICT, MHRD, Government of India.
|-

| 12.55

|More information on this mission is available at spoken-tutorial.org/NMEICT-Intro

|-

| 13.06

|This is Ashwini Patil signing off.

|-

|13.08

| Thank you for joining Good Bye.

@@ Line 325: / Line 325: @@
 | 06:15
-| and press ''Enter.'''
+| and press '''Enter.'''
 |-
@@ Line 571: / Line 571: @@
 | 10:01
-|'''six plus s over 19 plus six s plus s square'''
+|'''six plus s over 19 plus six s plus s square'''.
 |-

@@ Line 11: / Line 11: @@
 |-
 | 00:02
-| Welcome to the spoken tutorial on ''' Advanced Control of Continuous Time systems'''
+| Welcome to the spoken tutorial on ''' Advanced Control of Continuous Time systems'''.
 |-
@@ Line 19: / Line 19: @@
 |-
 |00:12
-|Define a continuous time system: second and higher order
+|* Define a continuous time system: second and higher order
 |-
 |00:17
-|Plot response to '''step''' and sine inputs
+|* Plot response to '''step''' and sine inputs
 |-
 | 00:20
-|Do a '''Bode plot'''
+|* Do a '''Bode plot'''
 |-
 |00:22
-|Study '''numer''' and ''' denom Scilab functions'''
+|* Study '''numer''' and ''' denom Scilab functions'''
 |-
 | 00:26
-|Plot ''' poles''' and '''zeros''' of a system
+|* Plot ''' poles''' and '''zeros''' of a system.
 |-
 | 00:30
-| To record this tutorial, I am using
+|To record this tutorial, I am using
 |-
 |00:33
-|'''Ubuntu 12.04'''  as the operating system with
+|'''Ubuntu 12.04''' as the operating system with
 |-
 |00:36
-|'''Scilab 5.3.3''' version
+|'''Scilab 5.3.3''' version.
 |-
@@ Line 69: / Line 69: @@
 |01:08
-|Let us switch to the ''' Scilab console window. '''
+|Let us switch to the ''' Scilab console window.'''
 |-
 |01:11
-|Here type ''' s equal to poly open parenthesis zero comma open single quote s close single quote close parenthesis''' , press '''Enter.'''
+|Here, type '''s equal to poly open parenthesis zero comma open single quote s close single quote close parenthesis''', press '''Enter.'''
 |-
@@ Line 80: / Line 80: @@
 | 01:25
-|The output is  ''' 's'.'''
+|The output is''' 's'.'''
 |-
 | 01:27
-|There is another way to define ''' 's' ''' as '''continuous time complex variable. '''
+|There is another way to define''' 's' '''as '''continuous time complex variable.'''
 |-
@@ Line 97: / Line 97: @@
 |01:35
-| ''' s equal to percentage s''',  press '''Enter.'''
+| '''s equal to percentage s''', press '''Enter.'''
 |-
 |01:41
-|Let us study the ''' syslin Scilab command.'''
+|Let us study the '''syslin Scilab command.'''
 |-
@@ Line 107: / Line 107: @@
 |01:44
-|Use the '''Scilab''' function ''' ’syslin’ ''' to define the continuous time system.
+|Use the '''Scilab''' function''' ’syslin’ ''' to define the continuous time system.
 |-
@@ Line 113: / Line 113: @@
 |01:51
-||''' G of s is equal to 2 over 9 plus 2 s plus s square'''
+||''' G of s is equal to 2 over 9 plus 2 s plus s square'''.
 |-
 |01:58
-|Use ''' csim'''  with '''step''' option, to obtain ''' the step response''' and then plot the step response.
+|Use '''csim''' with '''step''' option, to obtain '''the step response''' and then plot the '''step response'''.
 |-
@@ Line 128: / Line 128: @@
 |02:09
-||Here type:''' sys capital G equal to syslin open parenthesis open single quote c close single quote comma two divide by open parenthesis s square plus two asterisk s plus nine close parenthesis close parenthesis '''
+||Here, type: '''sys''' capital '''G''' '''equal to syslin open parenthesis open single quote c close single quote comma two divide by open parenthesis s square plus two asterisk s plus nine close parenthesis close parenthesis'''
 |-
@@ Line 134: / Line 134: @@
 |02:32
-| Here '''c''' is used as we are defining a continuous time system.
+| Here '''c''' is used, as we are defining a continuous time system.
 |-
@@ Line 150: / Line 150: @@
 |-
 | 02:44
-|'''2 over 9 plus 2 s plus s square'''
+|'''2 over 9 plus 2 s plus s square'''.
 |-
 |02:49
-| Then type ''' t equal to zero colon zero point one colon ten semicolon'''
+| Then, type '''t equal to zero colon zero point one colon ten semicolon'''
 |-
@@ Line 166: / Line 166: @@
 |-
 | 03:15
-|Press '''Enter. '''
+|Press '''Enter.'''
 |-

@@ Line 11: / Line 11: @@
 |-
 | 00:02
-| Welcome to the spoken tutorial on ''' “Advanced Control of Continuous Time systems” '''|
+| Welcome to the spoken tutorial on ''' “Advanced Control of Continuous Time systems” '''
 |-