- sir,

actually i am doing adaptive fuzzy control of

uncertain lorenz system.

actullay lorenz systems is chaotic system.so i want to

eleminate this chaotic behaviour through fuzzy

control..

firstly fuzzy modelling of lorenz system then

stabilization.so i have some difficulty to start the

program in matlab. so please send me some refernce

programs.

srinu.

--- Chouverakis Konstantinos <kostas_chl@...>

wrote: > Hi Srinu,> Can you explain to me wht you want to do exactly in

------------------------------------------------------------------------------

> your project with fuzzy logic and Lorenz?

> Regards

> ---

> Kostas

> ----- Original Message -----

> From: hai friend

> To: caostheory@yahoogroups.com

> Sent: Wednesday, January 28, 2004 4:52 AM

> Subject: [caostheory] fuzzy control of a nonlinear

> systems

>

>

> Respected sir,

>

> now i am doing extension of my

> project is fuzzy control of a lorenz system(choatic

> system).but i am unable to start my program in

> Matlab. so i need some matlab programs for reference

> related to fuzzy control of a nonlinear systems.

> actually i got so many things from this group. once

> again my thanks to all.i hope that i will get this

> things from u.

> thanking you,

>

> srinu.

>

>

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> Picture Messages and more. Download now.

>

>

>

>

> Yahoo! Groups Links

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Go to http://in.mobile.yahoo.com Dear srinu,

Kostas is the Matlab guy, but I'm the chaotic fuzzy logic person.

Back in the early 90's the philosopher at SONY Stony Brook

Dr. Patrick Grim came up with a 3d chaotic system based on fuzzy logic.

The following program gives the "trajectory" of the system in 3d.

As far as I know no differential equations have been

yet associated with this chaotic system.

By using it to classify the Lorenz system ,

you might be able to get fuzzy logic control

for such a system.

Who told you that fuzzy logic was an answer to

control of chaotic systems? Whoever it was

was probably misinformed. All fuzzy logic does

is allow you to isolate "attractor categories" as

finite attactor sets; the chaos remains.

As you will see if you run a graph of this trajectory system.

Here's a link to Dr. Grim's web page:

http://www.sunysb.edu/philosophy/new/faculty/grim.html

He is also known as the "bit splitter": the man who

changed how we think about information

in terms of fuzzy logic.

SET MODE "color"

FOR i=0 to 15

LET j=i/15

SET COLOR MIX (i) j,1-j, 1-j

NEXT i

SET BACKGROUND COLOR "white"

SET COLOR MIX (1) 0,0,0

SET WINDOW -.5,2.5,-.5 ,2.5

CLEAR

PRINT" ***3dimensional GRIM TRIPLIST map***"

PRINT " by R.L.Bagula 27 May 1995 ©"

LET XINT= 1

LET YINT= .5

LET ZINT=-1

LET INITNUM=10

LET FINNUM=1000000

LET X=XINT

LET Y=YINT

LET Z=ZINT

FOR I=INITNUM+1 TO FINNUM+1

LET r=sqr(x^2+y^2+z^2)

LET XNEW=1-ABS(.5*ABS(Y-Z)-X)

LET YNEW=1-ABS(.5*ABS(XNEW-Z)-Y)

LET ZNEW=1-ABS(.5*ABS(XNEW-YNEW)-Z)

SET COLOR 1+15*int(r)

LET x1=2*x/(1+z/4)

LET y1=2*y/(1+z/4)

PLOT x1,y1

LET X=XNEW

LET Y=YNEW

LET Z=ZNEW

NEXT I

END

hai friend wrote:sir, actually i am doing adaptive fuzzy control of uncertain lorenz system. actullay lorenz systems is chaotic system.so i want to eleminate this chaotic behaviour through fuzzy control.. firstly fuzzy modelling of lorenz system then stabilization.so i have some difficulty to start the program in matlab. so please send me some refernce programs. srinu. --- Chouverakis Konstantinos <kostas_chl@...> wrote: > Hi Srinu,

Can you explain to me wht you want to do exactly in your project with fuzzy logic and Lorenz? Regards --- Kostas ----- Original Message ----- From: hai friend To: caostheory@yahoogroups.com Sent: Wednesday, January 28, 2004 4:52 AM Subject: [caostheory] fuzzy control of a nonlinear systems Respected sir, now i am doing extension of my project is fuzzy control of a lorenz system(choatic system).but i am unable to start my program in Matlab. so i need some matlab programs for reference related to fuzzy control of a nonlinear systems. actually i got so many things from this group. once again my thanks to all.i hope that i will get this things from u. thanking you, srinu. Yahoo! India Mobile: Ringtones, Wallpapers, Picture Messages and more. Download now.

------------------------------------------------------------------------------

Yahoo! Groups Links a.. To visit your group on the web, go to: http://groups.yahoo.com/group/caostheory/ b.. To unsubscribe from this group, send an email to: caostheory-unsubscribe@yahoogroups.com c.. Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.

________________________________________________________________________ Yahoo! India Mobile: Download the latest polyphonic ringtones. Go to http://in.mobile.yahoo.com ------------------------ Yahoo! Groups Sponsor ---------------------~--> Buy Ink Cartridges or Refill Kits for your HP, Epson, Canon or Lexmark Printer at MyInks.com. Free s/h on orders $50 or more to the US & Canada. http://www.c1tracking.com/l.asp?cid=5511 http://us.click.yahoo.com/mOAaAA/3exGAA/qnsNAA/wHYolB/TM ---------------------------------------------------------------------~-> Yahoo! Groups Links To visit your group on the web, go to: http://groups.yahoo.com/group/caostheory/ To unsubscribe from this group, send an email to: caostheory-unsubscribe@yahoogroups.com Your use of Yahoo! Groups is subject to: http://docs.yahoo.com/info/terms/

-- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/

Here are a set differential equations based on Grim TRIPLIST map:

dx/dt=x+1-Abs(Abs(y-z)/2-x)

dy/dt=y+1-Abs(Abs(dx/dt-x-z)/2-y)

dz/dt=z+1-Abs(Abs((dx/dt-x)-(dy/dt-y))/2-z)

As you can see it is a nonlinear equation set with the hard direction changes of absolute values

that give cusp like effects that make differential equation solutions

difficult to impossible.

Without Dr. Grim's logical analysis of fuzzy logic for liars

even this wouldn't be possible. No one else has approached this system

with this much insight.

Another approach is the hypercube one that Kosco uses:

"Kosko introduces his**hypercube**representation of**fuzzy**sets and explains ":

http://www.e-insite.net/ednmag/archives/1995/072095/15column.htm

which I don't think is as effective in resolving the 3d chaos case.

Kosco's approach is an n dimensional generalization approach

developed for n node neural net types of systems.

Roger Bagula wrote:Dear srinu,

Kostas is the Matlab guy, but I'm the chaotic fuzzy logic person.

Back in the early 90's the philosopher at SONY Stony Brook

Dr. Patrick Grim came up with a 3d chaotic system based on fuzzy logic.

The following program gives the "trajectory" of the system in 3d.

As far as I know no differential equations have been

yet associated with this chaotic system.

By using it to classify the Lorenz system ,

you might be able to get fuzzy logic control

for such a system.

Who told you that fuzzy logic was an answer to

control of chaotic systems? Whoever it was

was probably misinformed. All fuzzy logic does

is allow you to isolate "attractor categories" as

finite attactor sets; the chaos remains.

As you will see if you run a graph of this trajectory system.

Here's a link to Dr. Grim's web page:

http://www.sunysb.edu/philosophy/new/faculty/grim.html

He is also known as the "bit splitter": the man who

changed how we think about information

in terms of fuzzy logic.

SET MODE "color"

FOR i=0 to 15

LET j=i/15

SET COLOR MIX (i) j,1-j, 1-j

NEXT i

SET BACKGROUND COLOR "white"

SET COLOR MIX (1) 0,0,0

SET WINDOW -.5,2.5,-.5 ,2.5

CLEAR

PRINT" ***3dimensional GRIM TRIPLIST map***"

PRINT " by R.L.Bagula 27 May 1995 ©"

LET XINT= 1

LET YINT= .5

LET ZINT=-1

LET INITNUM=10

LET FINNUM=1000000

LET X=XINT

LET Y=YINT

LET Z=ZINT

FOR I=INITNUM+1 TO FINNUM+1

LET r=sqr(x^2+y^2+z^2)

LET XNEW=1-ABS(.5*ABS(Y-Z)-X)

LET YNEW=1-ABS(.5*ABS(XNEW-Z)-Y)

LET ZNEW=1-ABS(.5*ABS(XNEW-YNEW)-Z)

SET COLOR 1+15*int(r)

LET x1=2*x/(1+z/4)

LET y1=2*y/(1+z/4)

PLOT x1,y1

LET X=XNEW

LET Y=YNEW

LET Z=ZNEW

NEXT I

END

hai friend wrote:sir, actually i am doing adaptive fuzzy control of uncertain lorenz system. actullay lorenz systems is chaotic system.so i want to eleminate this chaotic behaviour through fuzzy control.. firstly fuzzy modelling of lorenz system then stabilization.so i have some difficulty to start the program in matlab. so please send me some refernce programs. srinu. --- Chouverakis Konstantinos <kostas_chl@...> wrote: > Hi Srinu,

Can you explain to me wht you want to do exactly in your project with fuzzy logic and Lorenz? Regards --- Kostas ----- Original Message ----- From: hai friend To: caostheory@yahoogroups.com Sent: Wednesday, January 28, 2004 4:52 AM Subject: [caostheory] fuzzy control of a nonlinear systems Respected sir, now i am doing extension of my project is fuzzy control of a lorenz system(choatic system).but i am unable to start my program in Matlab. so i need some matlab programs for reference related to fuzzy control of a nonlinear systems. actually i got so many things from this group. once again my thanks to all.i hope that i will get this things from u. thanking you, srinu. Yahoo! India Mobile: Ringtones, Wallpapers, Picture Messages and more. Download now.

------------------------------------------------------------------------------

Yahoo! Groups Links a.. To visit your group on the web, go to: http://groups.yahoo.com/group/caostheory/ b.. To unsubscribe from this group, send an email to: caostheory-unsubscribe@yahoogroups.com c.. Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.

________________________________________________________________________ Yahoo! India Mobile: Download the latest polyphonic ringtones. Go to http://in.mobile.yahoo.com ------------------------ Yahoo! Groups Sponsor ---------------------~--> Buy Ink Cartridges or Refill Kits for your HP, Epson, Canon or Lexmark Printer at MyInks.com. Free s/h on orders $50 or more to the US & Canada. http://www.c1tracking.com/l.asp?cid=5511 http://us.click.yahoo.com/mOAaAA/3exGAA/qnsNAA/wHYolB/TM ---------------------------------------------------------------------~-> Yahoo! Groups Links To visit your group on the web, go to: http://groups.yahoo.com/group/caostheory/ To unsubscribe from this group, send an email to: caostheory-unsubscribe@yahoogroups.com Your use of Yahoo! Groups is subject to: http://docs.yahoo.com/info/terms/

-- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/

**Yahoo! Groups Links**- To visit your group on the web, go to:

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caostheory-unsubscribe@yahoogroups.com

- Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.

-- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/

- To visit your group on the web, go to: