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The Development of Neural Network Based System Identification ...

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130 CHAPTER 5 NN BASED SYSTEM IDENTIFICATION: RESULTS AND DISCUSSION<br />

(a)<br />

(b)<br />

Figure 5.9 <strong>The</strong> 5 steps ahead prediction <strong>of</strong> MLP network model for (a) Pitch dynamics; and (b)<br />

Roll dynamics. <strong>The</strong> solid blue line with ‘x’ marker is the measured output while the red dashed line<br />

indicates the prediction from neural network model.<br />

and measured output data. <strong>The</strong> plots <strong>of</strong> the k-steps predictions are given in 5.9(a) and<br />

5.9(b). <strong>The</strong> corresponding error statistics <strong>of</strong> one step and k-step ahead predictions are<br />

given in Table 5.2 for each individual prediction variable. From the error statistics, we<br />

can conclude that the discrepancy between the k-step ahead prediction (k = 5) and the<br />

measured data is insignificant. Both figures show that the trained neural network model<br />

predictions are close to the measured values and that the neural network is properly<br />

trained to mimic the rigid body dynamics <strong>of</strong> the helicopter.<br />

<strong>The</strong> MLP based NN model produced different magnitude <strong>of</strong> weight values if the<br />

NN training was conducted several times using random initial weight values at the<br />

beginning <strong>of</strong> the training. This would result in many possible sets <strong>of</strong> weights that would

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