Scilab/C4/Discrete-systems/Gujarati - Revision history

Jyotisolanki at 12:00, 27 March 2017

2017-03-27T12:00:56Z

Jyotisolanki at 09:39, 7 March 2016

2016-03-07T09:39:51Z

Jyotisolanki at 09:51, 5 January 2016

2016-01-05T09:51:02Z

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Jyotisolanki at 07:26, 5 January 2016

2016-01-05T07:26:28Z

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Jyotisolanki at 11:27, 4 January 2016

2016-01-04T11:27:15Z

Jyotisolanki: Created page with "{| Border=1 |'''Time''' |'''Narration''' |- | 00:01 |નમસ્તે મિત્રો, , |- | 00:02 | Welcome to the Spoken Tutorial on '''Discrete Time System'''..."

2016-01-04T10:18:18Z

Created page with "{| Border=1 |'''Time''' |'''Narration''' |- | 00:01 |નમસ્તે મિત્રો, , |- | 00:02 | Welcome to the Spoken Tutorial on '''Discrete Time System'''..."

New page

{| Border=1

|'''Time'''

|'''Narration'''

|-
| 00:01
|નમસ્તે મિત્રો, ,

|-
| 00:02
| Welcome to the Spoken Tutorial on '''Discrete Time System''' પરના આ સ્પોકન ટ્યુટોરિયલમાં તમારું સ્વાગત છે.

|-
| 00:07
| આ ટ્યુટોરીયલના અંતમાં તમે શીખીશું કેવી રીતે:

|-
|00:09
|* Convert between '''state space and transfer function''' descriptions

|-
|00:14
|* ''' discrete time system ''' ને વ્યાખ્યાયિત કરવું અને તેના '''step response''' ને પ્લોટ કરતા.

|-
| 00:20
|* '''Discretize a '''continuous time system''' ને જુદું કરવું.

|-
|00:23
| ડેમોનસ્ટ્રેશન માટે હું '''Ubuntu 12.04''' ઓપરેટીંગ સીસ્ટમ અને '''Scilab 5.3.3''' ઉપયોગ કરી રહી છું.

|-
| 00:31
| આ ટ્યુટોરિયલના અભ્યાસ માટે તમને સાઈલેબના સમાન્ય જ્ઞાનની જરૂરિયાત છે.

|-
| 00:36
| જો નથી તો સાઈલેબ માટે સ્પોકન ટ્યુટોરિયલ વેબ સાઈટ પર ઉપલબ્ધ સંબંધિત ટ્યુટોરિયલ જુઓ.

|-
|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 pre-specified '''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 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 syslin into brackets into quotes c comma A comma B comma C comma D close 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 bracket ''' and
|-

| 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.

|-

| 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.

|-

|04:20

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

|-

| 04:26

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

|-

| 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.'''

|-

|05:23

|Type '''clc''' to clear.

|-

| 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.

|-

| 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 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 two 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 summarizes 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 19: / Line 19: @@
 |-
 |00:09
-|*  '''state space અને  transfer function''' ડીસક્રીપશન વચ્ચે રુપાંતરણ.
+|  '''state space અને  transfer function''' ડીસક્રીપશન વચ્ચે રુપાંતરણ.
 |-
 |00:14
-|*    ''' discrete time system ''' ને વ્યાખ્યાયિત કરવું અને તેના '''step response''' ને પ્લોટ કરતા.
+|    ''' discrete time system ''' ને વ્યાખ્યાયિત કરવું અને તેના '''step response''' ને પ્લોટ કરતા.
 |-
 | 00:20
-|* '''continuous time system''' ને જુદું કરવું.
+| '''continuous time system''' ને જુદું કરવું.
 |-
@@ Line 508: / Line 508: @@
 | 09:24
-|*  '''state space અને  transfer function descriptions''' ના વચ્ચે બદલવું.
+|  '''state space અને  transfer function descriptions''' ના વચ્ચે બદલવું.
 |-
 | 09:28
-|*  ''' discrete time system ''' ને વ્યાખ્યાયિત કરો અને તેનું સ્ટેપ રિસ્પોન્સ પ્લોટ કરો.
+|  ''' discrete time system ''' ને વ્યાખ્યાયિત કરો અને તેનું સ્ટેપ રિસ્પોન્સ પ્લોટ કરો.
 |-
 | 09:33
-|* 'એક '''continuous time system.''' ને જુદું કરો.
+| 'એક '''continuous time system.''' ને જુદું કરો.
 |-

@@ Line 19: / Line 19: @@
 |-
 |00:09
-|* Convert between '''state space and transfer function''' descriptions
+|*  '''state space અને  transfer function''' ડીસક્રીપશન વચ્ચે રુપાંતરણ.
 |-
@@ Line 27: / Line 27: @@
 |-
 | 00:20
-|* '''Discretize a '''continuous time system''' ને જુદું કરવું.
+|* '''continuous time system''' ને જુદું કરવું.
 |-
@@ Line 43: / Line 43: @@
 |-
 |00:44
-| '''state space model''':
+| '''state space model'''
 |-
@@ Line 101: / Line 101: @@
 |-
 |02:00
-|''' A is equal to ખુલ્લો છગડીયો કૌંસ 2 space 3 semicolon 4 space 5 બંદ છગડીયો કૌંસ.
+|''' A is equal to ખુલ્લો ચોરસ કૌંસ 2 space 3 semicolon 4 space 5 બંદ ચોરસ કૌંસ.
 |-
@@ Line 113: / Line 113: @@
 |02:11
-|''' B is equal to ખુલ્લો છગડીયો કૌંસ one semicolon 2 બંદ છગડીયો કૌંસ''',
+|''' B is equal to ખુલ્લો ચોરસ કૌંસ one semicolon 2 બંદ ચોરસ કૌંસ''',
 |-
@@ Line 122: / Line 122: @@
 | 02:19
-|''' C is equal to ખુલ્લો છગડીયો કૌંસ minus three space minus six બંદ છગડીયો કૌંસ'''
+|''' C is equal to ખુલ્લો ચોરસ કૌંસ minus three space minus six બંદ ચોરસ કૌંસ'''
 |-
@@ Line 270: / Line 270: @@
 | 05:07
-| યાદ કરો કે વેરીએબલ '''’z’'''   શોર્ટકટ ધરાવે છે.
+| વેરીએબલ '''’z’'''   શોર્ટકટ ધરાવે છે.
 |-
@@ Line 316: / Line 316: @@
 |-
 | 05:39
-| ''' D T System is equal to syslin કૌંસમાં  અવતરણમાં  small d comma z divided by inside bracket z minus zero point five બંદ કૌંસ બહાર નું કૌંસ બંદ કરો.'''
+| ''' D T System is equal to syslin કૌંસમાં  અવતરણમાં  small d comma z divided by કૌંસમાં z minus zero point five બંદ કૌંસ બહાર નું કૌંસ બંદ કરો.'''
 |-
@@ Line 356: / Line 356: @@
 | 06:25
-|'''u is equal to ones  કૌંસમાં  one comma fifty બંદ  કૌંસ put a semicolon'''
+|'''u is equal to ones  કૌંસમાં  one comma fifty બંદ  કૌંસ  semicolon'''ઉમેરો.
 |-
@@ Line 386: / Line 386: @@
 | 06:51
-|''' y is equal to f l t s  કૌંસમાં  u comma D T System બંદ  કૌંસ put a semi colon'''
+|''' y is equal to f l t s  કૌંસમાં  u comma D T System બંદ  કૌંસ semicolon'''ઉમેરો.
 |-

@@ Line 7: / Line 7: @@
 |-
 | 00:01
-|નમસ્તે મિત્રો, ,
+|નમસ્તે મિત્રો,
 |-
 | 00:02
-| Welcome to the Spoken Tutorial on '''Discrete Time System''' પરના આ સ્પોકન ટ્યુટોરિયલમાં તમારું સ્વાગત છે.
+| '''Discrete Time System''' પરના આ સ્પોકન ટ્યુટોરિયલમાં તમારું સ્વાગત છે.
 |-
@@ Line 55: / Line 55: @@
 |-
 | 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'''.
+|  '''sys three is equal to syslin  કૌંસમાં  અવતરણમાં  c comma A comma B comma C comma D બંદ કૌંસ''' થી ઉલ્લેખિત થાય છે.
 |-
 |01:05
-|For pre-specified '''matrices A, B, C and D''' of suitable sizes.
+| યોગ્ય સાઈઝ ની પૂર્વ ઉલ્લેખિત મેટ્રાંઈસીઝ  '''A, B, C અને  D'''  માટે
 |-
 |01:11
-| Start '''Scilab''' on your computer.
+| પોતાનું કમ્પ્યુટર સાઈલેબ ખોલો.
 |-
@@ 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.'''
+|ટાઈપ કરો  '''sys three is equal to syslin કૌંસમાં  અવતરણમાં  c comma four comma three comma six comma nine બંદ કૌંસ ''' અને  '''Enter.'''  દબાવો.
 |-