Optimum Design of a Smart Composite Beam by making Use of the Latest Control Theory

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The application of the latest control theory to vibration control of a smart composite beam was investigated. The results obtained are summarized as follows ;(1) A carbon fiber reinforced plastics (CFRP) beam including interleaved electro-rheological fluids (ERF) and bonded piezoceramics was prepared and oscillated under the forced sinusoidal external excitations. Fuzzy model of controlled element containing actuators with intensive nonlinearity was formed by using a hybrid neuro-fuzzy system combining fuzzy deduction with learning function of neural network.(2) In this case, it is necessary to design fuzzy controller for vibration suppression of the composite beam by solving the inequalities satisfying the stability conditions derived by the use of Lyapunov's stability theory. But these inequalities aren't linear in the strict sense and it is very tedious to solve them.(3) By transforming these inequalities to LMI (linear matrix inequalities), it became very easy to design controller. Moreover BIBO (bounded input bounded output) stability could be confirmed.