Abstract
This paper describes the adaptive control of sound transmission through the double panels between which the piezoelectric actuators are installed. The double panel provides us with efficient insulation of the sound transmission over the high frequency band, and also with the space to accomodate the piezoelectric actuators to control actively the sound transmission over the lower frequency range. ARMAX model which represents the transfer function from the control input and also the disturbance to the sensor signal is identified by using the LMS algorithm. The observable canonical form is introduced to represent the state equation of the control system with the identified ARMAX model. The optimal regulator is applied for the control algorithm, which is adapted to the change of the identified state equation model. Riccati equation for determining the gain matrix of the controller is solved at real time by utilizing the recursive approximation method. The state variables are estimated by the observer where the detected disturbance signal is fed forward. The control experiment where the random signal disturbance excites the vibration in the double panel was conducted. The result proved well the effectiveness of the proposed control system.
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