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PID Controller for pH System

     1. Digital PID controller

     2. Neural Network

     3. Neuro PID controllerÀÇ Àüü ±¸Á¶

     4. Simulation °á°ú (No Filter)

     5. Digital filters

     6. Simulation °á°ú (Filter ¼³Ä¡½Ã)

     7. INVERSE MODEL CONTROLLER¿Í ºñ±³

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2. Neural Network

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    1. Structure

,

    ,

where,

                                       : constant

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    2. Learnning Rule (Error-back-propagation)                               

        - ÀϹÝÀûÀÎ Error-back-propagation ¾Ë°í¸®Áò

                   

                   

                   

-Á¦¾î±â¿¡ »ç¿ëµÈ Error-back-propagation ¾Ë°í¸®Áò

                   

                   

  3. Algorithm

        - Step 0 : Weight ÃʱâÈ­(-0.5¡­0.5)

        - Step 1 : Weight ¼öÁ¤

                       

                       

                       

                       

        - Step 2 :

                        À̸é goto Step 1

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  1. Exponential filter

            : measured

         : filtered

- Use of backward difference approximation 

   for analog filter

                   

                   

                    : filter constant ¢¡

                    : Weighted summation!

      ¢¡ single exponential smoothing  

                    : No filtering ()

                    : measurement is ignored ()

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5. Digital filters

¡¡2. Moving average filter

                    J: moving window size

                   

                   

       (recursive form) : low pass filter

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6. Simulation °á°ú (Filter ¼³Ä¡½Ã)

¡¡    1. Á¦¾î±â Ãâ·Â¿¡ Exponential filter ¼³Ä¡

        - Noise°¡ ¾øÀ»½Ã

    - Noise°¡ µé¾î°¥ ½Ã(¡¾0.1)

2. Á¦¾î±â Ãâ·Â¿¡ Moving average filter ¼³Ä¡

        - Noise°¡ ¾øÀ»½Ã

        - Noise°¡ µé¾î°¥ ½Ã(¡¾0.1)

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7. Inverse model controller¿Í ºñ±³

    1. Structure    

                       - 1¹ø° ÇнÀ

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               - 2¹ø° ÇнÀ

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