Active control of smart structures using distributed piezoelectric transducers

Abstract

For the active position control system, a pair of piezoceramic PZT actuators were used to construct a flexible smart beam. Two control strategies, analogue PID feedback and digital IMC feedback, were applied to the flexible smart beam for setpoint tracking. It is shown analytically as well as experimentally that PID control is more stable but performs less well than IMC control under ideal conditions. A novel design of a tip position sensor based on a triangularly shaped PVDF sensor is then investigated, which could be useful for the control of a slewing beam.

For active vibration rejection control, a smart beam with a distributed triangularly shaped actuator and sensor is considered. This distributed piezoelectric actuator/sensor pair suffers from the effects of in-plane coupling to the beam dynamics. The coupling of in-plane and out-of-plane motions in piezoelectric actuator/sensor pair are investigated analytically. For the compensation of in-plane coupling, the so called "jωs method" is suggested to obtain a pure out-of-plane response at low frequencies. For the smart beam with this single piezoelectric actuator/sensor pair arrangement, it is experimentally demonstrated that it could be actively controlled with a limited feedback gain using direct velocity feedback. Other arrangements, including a double actuator/sensor pair arrangement, are introduced to compensate for the in-plane coupling but practical problems are also encountered with those designs.

For active sound transmission control, a smart panel with a pair of distributedly collocated quadratically shaped PVDF actuator/sensor arrays has been investigated. The actuator array can generate uniform force over the panel and the sensor can detect the volume displacement of the panel. The smart panel also suffered from the effects of in-plane coupling, as well as shaping errors. The pure out-of-plane response can again be estimated using the "jωs method" at low frequencies.

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