PoojaMoolya at 05:27, 10 March 2017

2017-03-10T05:27:29Z

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Sandhya.np14 at 10:08, 9 February 2016

2016-02-09T10:08:30Z

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Sandhya.np14 at 09:41, 9 February 2016

2016-02-09T09:41:08Z

Sandhya.np14 at 03:56, 4 March 2015

2015-03-04T03:56:11Z

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Sandhya.np14 at 10:50, 3 March 2015

2015-03-03T10:50:23Z

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Gaurav at 05:38, 11 July 2014

2014-07-11T05:38:22Z

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PoojaMoolya: Created page with '{| Border=1 || Time || Narration |- | 00.01 |Dear Friends, |- | 00.02 | Welcome to the Spoken Tutorial on ''' “Discrete Time System” ''' |- | 00.07 | In this Tutorial …'

2014-03-18T10:42:45Z

Created page with '{| Border=1 || Time || Narration |- | 00.01 |Dear Friends, |- | 00.02 | Welcome to the Spoken Tutorial on ''' “Discrete Time System” ''' |- | 00.07 | In this Tutorial …'

New page

{| Border=1

|| Time

|| Narration

|-
| 00.01
|Dear Friends,

|-
| 00.02
| Welcome to the Spoken Tutorial on ''' “Discrete Time System” '''

|-
| 00.07
| In this Tutorial we will learn to

|-
|00.09
|Convert between ''' state space and transfer function''' descriptions

|-
|00.14
|Define a ''' discrete time system and plot its step response '''

|-
| 00.20
| ''' Discretize a continuous time system'''

|-
|00.23
|I am using ''' Ubuntu 12.04''' operating system and ''' Scilab 5.3.3''' for demonstation

|-
| 00.31
|To practise this tutorial, you should have basic knowledge of ''' Scilab.'''

|-
| 00.36
| If not, please refer to the Scilab tutorials available on ''' spoken-tutorial.org '''

|-
|00.44
| ''' state space model'''

|-
|00.46
|'''x dot is equal to A x plus B u'''

|-
| 00.49
| ''' y is equal to c x plus D u'''

|-
| 00.52
| is specified by ''' sys three is equal to syslin into bracket into quotes c comma A comma B comma C comma D close bracket'''

|-
|01.05
|for prespecified ''' matrices A, B, C and D''' of suitable sizes.

|-
|01.11
| Start ''' Scilab''' on your computer

|-

|01.15

|Type '''sys three is equal to syslin into bracket into quotes c comma four comma three comma six comma nine close bracket and press Enter. '''

|-

|01.32

|'''Press enter to continue the display.'''

|-

|01.35
|This is an example for '''single state, Single Input Single Output'''

|-

| 01.40

|The output will have matrices ''' A, B, C and D and initial state x zero'''

|-

| 01.49
|Type '''clc ''' to clear the '''console'''

|-

|01.52

|Define for example matrices ''' A, B, C, D''' on '''Scilab console''' as you see

|-
|02.00
|''' A is equal to open square bracket two space three semicolon four space five close square bracket'''

|-

|02.09

|'''Press enter'''

|-

|02.11

|''' B is equal to open square bracket one semicolon two close the square bracket'''

|-
|02.17
|'''Press enter '''

|-

| 02.19
|''' C is equal to open square bracket minus three space minus six close the square bracket'''

|-

|02.27

|And '''Press enter'''

|-

|02.30

| ''' D is equal to two '''

|-

|02.33

| '''Press Enter'''

|-

| 02.35

|Let us substitute these matrices in the previous command

|-
| 02.39
|''' sys four is equal to sys lin into brackets into quotes c comma A comma B comma C comma D close the bracket and press enter'''

|-
|02.57
| You will get the following output.

|-
|03.00
| Press enter to continue the display.

|-
| 03.03
|The output will have ''' matrices A B C D and initial state x zero ''' as you see

|-
| 03.11
|Check whether '''poles''' of ''' sys4''' are same as '''eigenvalues''' of '''A .'''

|-
| 03.17
|For this you can use '''p l z r function''' and the '''spec function'''

|-
| 03.23
|The ''' s s two t f''' command can be used to obtain a '''transfer function of a state-space system sys S S. '''

|-
|03.33
|Type on your '''Scilab Console''' '''clc to clear it'''

|-

| 03.37

|And then ''' type sys capital T capital F is equal to s s two t f into bracket sys four close the bracket ''' and
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| 03.50
|'''Press enter'''

|-

|03.52

|You see this output

|-

| 03.54
| It is in the form ''' sys TF equal to ss two tf into bracket sys of SS'''

|-

| 04.01

|Use '''ss two tf''' function for '''sys three''' defined earlier

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| 04.07

| '''sys T F''' is a new variable for which ''' 'denom' command''' is applicable. '''
|-

| 04.12

| It is not applicable to '''sys four''' as it is in '''state space form'''

|-

|04.18

||Solve the following exercise

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|04.20

|Find a ''' state space realization''' of the '''second order transfer function''' defined below

|-

| 04.26

|Use ''' t f two s s''' command

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| 04.30

|For the new ''' system''' in '''state space form, say sys S S''', check if the eigenvalues of the matrix A and the poles of the '''transfer function G of s''' are the same.

|-

| 04.43

|Use the '''A, B, C, D matrices''' of the ''' system sys S S ''' to obtain the ''' transfer function'''
|-

| 04.53

|check if the answer is the original one.
|-

| 04.56

|We now define a ''' discrete time system.'''

|-

| 05.00

|It is customary to use ''' ’z’ ''' for the variable in the '''numerator and denominator polynomials.'''

|-

| 05.07

|Recall that the variable ''' ’z’''' has a shortcut

|-

| 05.11

|Instead of ''' z is equal to poly into bracket zero comma inside quotes z :''' use ''' z is equal to percentage z'''

|-

| 05.21

|Go to '''Scilab console.'''

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|05.23

|Type '''clc to clear'''

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| 05.26

|Type ''' z is equal to percentage z.'''

|-

| 05.29

| And '''press enter'''

|-

| 05.31

|We now define a first order discrete time system

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| 05.35

|On the ''' Scilab Console''' type

|-
| 05.39
| ''' D T System is equal to syslin into bracket into quotes small d comma z divided by inside bracket z minus zero point five close the bracket close outer bracket . '''

|-
| 05.59
|''' Press enter'''

|-

| 06.02

|We use the ''' ’syslin’ '''function for this

|-

| 06.05

| This time, we specify the ''' domain to be discrete time,''' instead of '''continuous time.'''

|-

| 06.13

| For checking the ''' step response,''' we have to define the '''input''' explicitly as '''ones,'''

|-

| 06.19

|for example, for '''50 points.'''

|-

| 06.22

| Type on the ''' Scilab Console'''

|-

| 06.25

|''' u is equal to ones into bracket one comma fifty close the bracket put a semicolon'''

|-

| 06.36

|And '''Press enter'''

|-

| 06.38

|Instead of '''csim,''' we have to use the '''’flts’''' function to '''simulate this system.'''

|-

| 06.45

|Type on the '''Scilab Console '''

|-

| 06.48

|'''clc to clear the console'''

|-

| 06.51

|''' y is equal to f l t s into bracket u comma D T System close the bracket put a semi colon'''

|-

| 07.02

|And ''' Press enter'''

|-

| 07.05

|Now type ''' plot of y and press Enter '''

|-

| 07.11

|The output will be plotted.

|-

| 07.14

|Close the graphic window

|-

| 07.17

|It is helpful to '''discretize''' a given '''continuous time system.'''

|-

| 07.21

|This is done using the '''dscr function.'''

|-

| 07.25

|Let us define a continuous system ''' s is equal to percent s''' and

|-

| 07.32

|'''sys G is equal to syslin into bracket into quotes c comma two divided by into bracket s square plus two multiplied by s plus nine close bracket close outer bracket and press enter '''

|-

| 07.56

|Let us '''discretize the system sys G''' with a '''sampling period of zero point one.'''

|-

| 08.04

|On the ''' Console''' type ''' clc to clear''' and then type

|-

| 08.08

|''' sys five is equal to d s c r into bracket sys G comma zero point one close the bracket and then press Enter'''

|-

| 08.25

|''' Press enter to continue display'''

|-

| 08.28

|As you see ''' system is discretized as A B C D matrices and inital state x zero'''
|-

| 08.38

|Notice that we obtain the ''' discretized system in the state space representation.'''
|-

| 08.44

|We can convert this to a '''transfer function representation in discrete time''' using ''' s s to t f''' function

|-

| 08.54

|For this go to the ''' Scilab Console Window'''

|-

| 08.58

|''' Type clc and clear it'''
|-

| 09.01

|'''Now type sys six is equal to s s two t f into bracket sys five comma zero point one close the brackets and press enter '''

|-

| 09.18

|The output gives the transfer function.
|-

| 09.22

| In this tutorial we have learnt to:

|-

| 09.24

|Convert between '''state space and transfer function descriptions'''
|-

| 09.28

|Define a ''' discrete time system and plot its step response'''

|-

| 09.33

|'''Discretize a continuous time system.'''

|-
|09.36
| Watch the video available at the following link

|-

| 09.39

| It summarises the Spoken Tutorial project

|-

|09.43

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

|-

|09.47

||The spoken tutorial project Team

|-

|09.49

||Conducts workshops using spoken tutorials

|-

|09.52

||Gives certificates to those who pass an online test

|-

|09.56

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

|-

|10.04

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

|-

| 10.08

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

| 10.15

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

|-

| 10.27

|This is Anuradha Amruthkar from IIT Bombay signing off.

|-

|10.31

| Thank you for joining Good Bye.

@@ Line 15: / Line 15: @@
 |-
 | 00:07
-| In this Tutorial we will learn to:
+| In this tutorial, we will learn to:
 |-
 |00:09
-|* Convert between '''state space and transfer function''' descriptions
+|* Convert between '''state space''' and '''transfer function''' descriptions
 |-
 |00:14
-|* Define a '''discrete time system and plot its step response'''
+|* Define a '''discrete time system''' and plot its '''step response'''
 |-
 | 00:20
-|* '''Discretize a continuous time system'''.
+|* Discretize a continuous time system.
 |-
@@ Line 39: / Line 39: @@
 |-
 | 00:36
-| If not, please refer to the Scilab tutorials available on''' spoken-tutorial.org'''.
+| If not, please refer to the '''Scilab tutorials''', available on''' spoken-tutorial.org'''.
 |-
@@ Line 59: / Line 59: @@
 |-
 |01:05
-|For pre-specified '''matrices A, B, C and D''' of suitable sizes.
+|For pre-specified matrices A, B, C and D of suitable sizes.
 |-
@@ Line 69: / Line 69: @@
 |01:15
-|Type '''sys three is equal to syslin into bracket into quotes c comma four comma three comma six comma nine close bracket''' and press '''Enter.'''
+|Type: '''sys three is equal to syslin into bracket into quotes c comma four comma three comma six comma nine close bracket''' and press '''Enter.'''
 |-
@@ Line 80: / Line 80: @@
 |01:35
-|This is an example for  '''single state, single input single output'''.
+|This is an example for '''single state, single input single output'''.
 |-
@@ Line 86: / Line 86: @@
 | 01:40
-|The output will have matrices  ''' A, B, C and D and initial state x zero'''.
+|The output will have matrices  A, B, C and D and '''initial state x zero'''.
 |-
@@ Line 97: / Line 97: @@
 |01:52
-|Define for example matrices ''' A, B, C, D''' on '''Scilab console''' as you see
+|Define, for example, matrices  A, B, C, D on '''Scilab console''' as you see
 |-
@@ Line 134: / Line 134: @@
 |02:30
-| '''D is equal to two'''
+| '''D is equal to two''',
 |-
@@ Line 146: / Line 146: @@
 | 02:35
-|Let us substitute these matrices in the previous command
+|Let us substitute these matrices in the previous command:
 |-
@@ Line 162: / Line 162: @@
 |-
 | 03:03
-|The output will have '''matrices A B C D and initial state x zero''' as you see.
+|The output will have matrices A B C D and '''initial state x zero''', as you see.
 |-

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

PoojaMoolya at 05:27, 10 March 2017

Sandhya.np14 at 10:08, 9 February 2016

Sandhya.np14 at 09:41, 9 February 2016

Sandhya.np14 at 03:56, 4 March 2015

Sandhya.np14 at 10:50, 3 March 2015

Gaurav at 05:38, 11 July 2014

PoojaMoolya: Created page with '{| Border=1 || Time || Narration |- | 00.01 |Dear Friends, |- | 00.02 | Welcome to the Spoken Tutorial on ''' “Discrete Time System” ''' |- | 00.07 | In this Tutorial …'