Design of Fuzzy Control Rules

Fuzzy control rules are obtained from the behavior analysis of the PEMFC system. A set of control rules are logics such as IF (condition) Then (control actions), where condition defines the state of the process, for which the control adjustment specified in the control action should be executed. These rules are derived from the knowledge of experts with substantial experience in the system. Say, for example, when the output is far from the set point (e(k) is PB or NB), the corrective action must be strong this means that u should 

When the output is close to the set point, the change of error must be properly taken into account in order to ensure stability and speed of response. The goal of the fuzzy controller is to achieve a satisfactory dynamic performance with small sensitivity to parameter variations. The control rules are as follows  

According to these criteria, the rule sets are shown in Table 12.4, where control action is proportional to both e k) and ce k). For example, for some constants a 0 and b 0, we have control output as 

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