How can i use fuzzy logic to switch between two distinct states?












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So I have a nice problem and I've been contemplating the use of fuzzy logic for this. I have attached a little diagram I have made to explain the problem--> Fuzzy logic image



So I have a power demand signal that varies between 0 & 1 on the x-axis (input). If the signal starts off at say 0.3 and continues to grow- I want the output to be say 'state 1 active' until it hits 0.7. After it crosses that limit it should switch to 'state 2 active'. Now, say if the signal drops back to 0.45- I want the output to still be 'state 2 active' until it crosses the 0.4 limit where it will have to revert back to 'state 1'. Basically I want to use the little triangle (transition phase) as a sort of buffer wherein nothing changes and the output corresponds to the last state the system was in.



Do you think it can be done using fuzzy logic? Or alternative methods- I'm trying to do this on Matlab/Simulink. Any advice/solution would be greatly appreciated!










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    0












    $begingroup$


    So I have a nice problem and I've been contemplating the use of fuzzy logic for this. I have attached a little diagram I have made to explain the problem--> Fuzzy logic image



    So I have a power demand signal that varies between 0 & 1 on the x-axis (input). If the signal starts off at say 0.3 and continues to grow- I want the output to be say 'state 1 active' until it hits 0.7. After it crosses that limit it should switch to 'state 2 active'. Now, say if the signal drops back to 0.45- I want the output to still be 'state 2 active' until it crosses the 0.4 limit where it will have to revert back to 'state 1'. Basically I want to use the little triangle (transition phase) as a sort of buffer wherein nothing changes and the output corresponds to the last state the system was in.



    Do you think it can be done using fuzzy logic? Or alternative methods- I'm trying to do this on Matlab/Simulink. Any advice/solution would be greatly appreciated!










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      So I have a nice problem and I've been contemplating the use of fuzzy logic for this. I have attached a little diagram I have made to explain the problem--> Fuzzy logic image



      So I have a power demand signal that varies between 0 & 1 on the x-axis (input). If the signal starts off at say 0.3 and continues to grow- I want the output to be say 'state 1 active' until it hits 0.7. After it crosses that limit it should switch to 'state 2 active'. Now, say if the signal drops back to 0.45- I want the output to still be 'state 2 active' until it crosses the 0.4 limit where it will have to revert back to 'state 1'. Basically I want to use the little triangle (transition phase) as a sort of buffer wherein nothing changes and the output corresponds to the last state the system was in.



      Do you think it can be done using fuzzy logic? Or alternative methods- I'm trying to do this on Matlab/Simulink. Any advice/solution would be greatly appreciated!










      share|cite|improve this question









      $endgroup$




      So I have a nice problem and I've been contemplating the use of fuzzy logic for this. I have attached a little diagram I have made to explain the problem--> Fuzzy logic image



      So I have a power demand signal that varies between 0 & 1 on the x-axis (input). If the signal starts off at say 0.3 and continues to grow- I want the output to be say 'state 1 active' until it hits 0.7. After it crosses that limit it should switch to 'state 2 active'. Now, say if the signal drops back to 0.45- I want the output to still be 'state 2 active' until it crosses the 0.4 limit where it will have to revert back to 'state 1'. Basically I want to use the little triangle (transition phase) as a sort of buffer wherein nothing changes and the output corresponds to the last state the system was in.



      Do you think it can be done using fuzzy logic? Or alternative methods- I'm trying to do this on Matlab/Simulink. Any advice/solution would be greatly appreciated!







      fuzzy-logic fuzzy-set






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      asked Dec 19 '18 at 13:32









      Akash MenonAkash Menon

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          $begingroup$

          What you're looking for is called an hysteresis loop. Fuzzy logic came out of the Controls Engineering area in which hysteresis loops are very common.



          I use two sigmoid membership functions and a rule block to switch between them.



          See:
          https://edoras.sdsu.edu/doc/matlab/toolbox/fuzzy/fuzzytu3.html



          and
          http://ww2.unime.it/mrg/publications/39RI-A%20General%20Fuzzy.pdf



          for details and theory.



          However, I often find it easier to use either if/then logic (PLC's etc) or analog components.






          share|cite|improve this answer











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            1 Answer
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            1 Answer
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            0












            $begingroup$

            What you're looking for is called an hysteresis loop. Fuzzy logic came out of the Controls Engineering area in which hysteresis loops are very common.



            I use two sigmoid membership functions and a rule block to switch between them.



            See:
            https://edoras.sdsu.edu/doc/matlab/toolbox/fuzzy/fuzzytu3.html



            and
            http://ww2.unime.it/mrg/publications/39RI-A%20General%20Fuzzy.pdf



            for details and theory.



            However, I often find it easier to use either if/then logic (PLC's etc) or analog components.






            share|cite|improve this answer











            $endgroup$


















              0












              $begingroup$

              What you're looking for is called an hysteresis loop. Fuzzy logic came out of the Controls Engineering area in which hysteresis loops are very common.



              I use two sigmoid membership functions and a rule block to switch between them.



              See:
              https://edoras.sdsu.edu/doc/matlab/toolbox/fuzzy/fuzzytu3.html



              and
              http://ww2.unime.it/mrg/publications/39RI-A%20General%20Fuzzy.pdf



              for details and theory.



              However, I often find it easier to use either if/then logic (PLC's etc) or analog components.






              share|cite|improve this answer











              $endgroup$
















                0












                0








                0





                $begingroup$

                What you're looking for is called an hysteresis loop. Fuzzy logic came out of the Controls Engineering area in which hysteresis loops are very common.



                I use two sigmoid membership functions and a rule block to switch between them.



                See:
                https://edoras.sdsu.edu/doc/matlab/toolbox/fuzzy/fuzzytu3.html



                and
                http://ww2.unime.it/mrg/publications/39RI-A%20General%20Fuzzy.pdf



                for details and theory.



                However, I often find it easier to use either if/then logic (PLC's etc) or analog components.






                share|cite|improve this answer











                $endgroup$



                What you're looking for is called an hysteresis loop. Fuzzy logic came out of the Controls Engineering area in which hysteresis loops are very common.



                I use two sigmoid membership functions and a rule block to switch between them.



                See:
                https://edoras.sdsu.edu/doc/matlab/toolbox/fuzzy/fuzzytu3.html



                and
                http://ww2.unime.it/mrg/publications/39RI-A%20General%20Fuzzy.pdf



                for details and theory.



                However, I often find it easier to use either if/then logic (PLC's etc) or analog components.







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited Jan 26 at 4:57

























                answered Jan 26 at 4:52









                DrDDrD

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