Virtual absorbed energy in decentralized velocity feedback control of a plate with piezoelectric patch actuators

Experimental validation of virtual absorbed energy of piezoelectric patch actuators in decentralized velocity feedback control of a plate

“…It can be noted that the optimal feedback gains of channel 6 and channel 8 are about 7 dB and 8 dB, respectively (which are calculated by 20 log 10 (Gain)). And it can be noticed that the optimal gain of a certain control unit does not change with the other channels' feedback gains, which have been proved previously in simulations [12]. Thus the optimal feedback gain of each control unit can be found with their own virtual energy absorption.…”

“…In addition, when the bandwidth is reduced and does not include any resonance peaks, the virtual absorbed energy and kinetic energy do not have any direct relationship for optimal feedback gain [12]. Here the numerical and experimental comparison results of the virtual absorbed energy and the kinetic energy against different bandwidth excitation are presented.…”

“…If replacing the angular velocity with the velocity signal, then there is a possibility for the quantity, which is the product of the amplitude of the line moment and the velocity signal from the velocity sensor, to be used to represent the energy absorption, and this quantity is termed the virtual energy absorption [12]. As the line moment of the actuator is nearly proportional to the output voltage of controller, therefore the total virtual absorbed energy of the piezoelectric patch actuators can be depicted as follows:…”

“…Compared to the kinetic energy or the sound radiation power, virtual absorbed energy is much easier to measure. Furthermore, simulations have shown that feedback gain minimizing the kinetic energy or maximizing the virtual energy absorption are nearly the same, when the disturbance is broadband white noise [12]. Also the effects of different excitation bandwidth are analyzed theoretically on the performances of kinetic energy and virtual energy absorption as cost functions.…”

“…Virtual absorbed energy of the piezoelectric patch actuator is a new cost function, proposed to obtain the optimal feedback gain which has been proved theoretically [12]. The virtual absorbed energy is derived from energy absorption by replacing the angular velocity with the velocity signal, and thus virtual absorbed energy can be expressed as the product of the amplitude of the line moment and the velocity signal from the velocity sensor which can be acquired by accelerometers.…”