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HVAC Control in the New Millennium.pdf - HVAC.Amickracing

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Artificial Intelligence, Fuzzy Logic and <strong>Control</strong>Neural Network OperationA neural network process<strong>in</strong>g element has many <strong>in</strong>put paths whichare <strong>in</strong>dividually multiplied by a weight and <strong>the</strong>n summed. A nonl<strong>in</strong>eartransfer function known as a squash<strong>in</strong>g function is applied to <strong>the</strong> resultto calculate each process<strong>in</strong>g element’s output.The transfer function must provide both nonl<strong>in</strong>earity and stabilityto <strong>the</strong> network. Typical transfer functions <strong>in</strong>clude <strong>the</strong> sigmoid transferfunction which is most often used <strong>in</strong> back-propagation networks andTanH which is a bipolar version of <strong>the</strong> sigmoid.The output value of <strong>the</strong> transfer function is usually passed directlyto <strong>the</strong> output path of <strong>the</strong> process<strong>in</strong>g element. The output path is <strong>the</strong>nconnected to <strong>in</strong>put paths of o<strong>the</strong>r process<strong>in</strong>g elements through connectionweights. The weights and connections form <strong>the</strong> memory or knowledgeof <strong>the</strong> neural net. S<strong>in</strong>ce each connection has a correspond<strong>in</strong>gweight, <strong>the</strong> signals on <strong>the</strong> <strong>in</strong>put l<strong>in</strong>es to a process<strong>in</strong>g element are modifiedby <strong>the</strong>se weights prior to be<strong>in</strong>g summed. Thus, <strong>the</strong> summationfunction is a weighted summation.A neural network consists of many process<strong>in</strong>g elements jo<strong>in</strong>edtoge<strong>the</strong>r. A typical network consists of a sequence of layers with connectionsbetween successive layers. A m<strong>in</strong>imum of two layers is required.These are <strong>the</strong> <strong>in</strong>put buffer where data is presented and <strong>the</strong> output layerwhere <strong>the</strong> results are held. Many networks also use <strong>in</strong>termediate layerscalled hidden layers.Applications for neural networks need an abundance of historicaldata or examples with data dependence on several <strong>in</strong>teract<strong>in</strong>g parameters.Back-propagation neural networks have been used <strong>in</strong> chemicalprocess control to predict boil<strong>in</strong>g po<strong>in</strong>ts.The type and number of process<strong>in</strong>g elements, <strong>the</strong> number of slabs,<strong>the</strong> number of layers, <strong>the</strong> connectivity of <strong>the</strong> layers, <strong>the</strong> transfer function,<strong>the</strong> learn<strong>in</strong>g algorithm or rule are all parameters of <strong>the</strong> network.O<strong>the</strong>r parameters <strong>in</strong>clude <strong>the</strong> learn<strong>in</strong>g threshold and learn<strong>in</strong>g coefficientsand learn<strong>in</strong>g schedule.The learn<strong>in</strong>g schedule is a breakpo<strong>in</strong>t table that allows <strong>the</strong> learn<strong>in</strong>gcoefficient to decay after a number of learn<strong>in</strong>g passes. The higher <strong>the</strong>learn<strong>in</strong>g coefficient, <strong>the</strong> faster <strong>the</strong> learn<strong>in</strong>g. However, <strong>the</strong> higher <strong>the</strong>learn<strong>in</strong>g coefficient, <strong>the</strong> slower <strong>the</strong> convergence. Therefore, if <strong>the</strong> learn<strong>in</strong>gcoefficient can be reduced as tra<strong>in</strong><strong>in</strong>g proceeds, high learn<strong>in</strong>g andfast convergence can take place. The momentum factor acts as a low-©2001 by The Fairmont Press, Inc. All rights reserved.

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