From: earlcox@earlcoxreports.com   
      
   >>Why to have a mathematical model, if you can use Fuzzy Logic?   
      
   Well, if you are unfamiliar with the inverted pendulum balancing system, a   
   good place to start might be the PID mathematical model -- this would help   
   you understand the basic components of the system and their relationships.   
   Translating this to a fuzzy model, of course, requires and understanding of   
   fuzzy logic and fuzzy systems since there is no obviously direct   
   correspondence between the mathematical model and the fuzzy representation.   
   For references in the literature, I would suggest starting with a seldom   
   referenced and very much under-appreciated book by Ted and Jill Heske,   
   "Fuzzy Logic for Real World Design"  (Annabooks, ISBN 0-929392-24-8),   
   Chapter 5, 'Fuzzy Engineering II' has a complete discussion of the both the   
   mathematical as well as fuzzy model for the inverted pendulum.   
      
   Good luck,   
   Earl   
      
   --   
      
      
   E a r l  C o x   
   Founder and President   
   Scianta Intelligence, LLC   
   Turn Knowledge Into Intelligence   
   w w w dot scianta dot c o m   
      
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   AUTHOR:   
   "The Fuzzy Systems Handbook" (1994)   
   "Fuzzy Logic for Business and Industry" (1995)   
   "Beyond Humanity: CyberEvolution and Future Minds"   
   (1996, with Greg Paul, Paleontologist/Artist)   
   "The Fuzzy Systems Handbook, 2nd Ed." (1998)   
   "Fuzzy Logic and Genetic Algorithms   
        for Data Mining and Exploration" (2005)   
      
      
      
   "Oliver Bandel"  wrote in message   
   news:1114865212.401452@elch.in-berlin.de...   
   > Jacob wrote:   
   >   
   > > Hi,   
   > >   
   > > We are making a project where we have to use fuzzy logic for a two   
   > > stage inverted pendulum. None of us in the group have any experience   
   > > with FL. Does anybody know some good books which describes how to come   
   > > from a mathematical model of the system to the membership functions   
   > > etc. ? and how to implement in LabView?   
   > >   
   > > I hope there are some good books/websites/pdf's out there :)   
   > >   
   > > thanks in advance   
   > >   
   > > Jacob   
   > >   
   >   
   > Why to have a mathematical model, if you can use Fuzzy Logic?   
   >   
   > The big advantage of Fuzzy Logic is, that you even are able   
   > to control systems, for that you have no mathematical description.   
   >   
   > Ciao,   
   >     Oliver   
      
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