Active-passive hybrid piezoelectric networks (APPN) have been shown to be effective devices for vibration suppression. It has also been recognized that the resistor element in these devices, which is necessary to provide passive damping, can reduce the authority of the active control action. One possible method to improve upon this situation is to use a variable resistor in the RL shunt and on-line adjust the resistance based on feedback. However, the concurrent design method previously synthesized for APPN systems becomes difficult to implement when such a state-dependent and time-varying resistor is used. In this research, an effective and simple control law is developed for an APPN system with variable resistor. It is shown that by proper on-line adjustment of the variable resistor, the efficiency of the APPN system can be significantly increased.

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