In this paper, the genetic algorithm is used to optimize the membership functions of a fuzzy logic controller for smart structure systems. With the performance requirement of vibration control, a new encoding method and a fitness function with variable factors are put forward for the genetic algorithm. A constraint problem, which the new encoding method will face, is discussed and solved. The effectiveness of the genetic algorithm is demonstrated with a cantilever beam attached with piezoelectric materials.
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Lu et al. (2003) studied this question.
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