Performance Function for Objective Forms

The performance function was defined with the tangential angle of the gel for determining input sequence. That of the three-half-waved shape /s is described by 

Performance function of the shape with x half-waves is noted as fx-The objective shape with tangential angles is illustrated in Fig. 7.23. Simulated forms of the gel at every time interval are shown in Fig. 7.28. 

Different shapes were generated through alternating the performance functions. The performance functions of one-half-waved shape (/i) and two-half-waved shape (/2) are defined as same as that of the three-half-waved shape. 

The input sequences which maximize the performance functions were obtained. 

The performance function of the shape that a half near the root is straight (the number of waves is 0) and another half near the tip is curved (the number of waves is 1) is defined as  

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