Targeted origin placement for the autonomous gain-phase tailoring of piezoelectric sensors

Targeted origin placement can be shown to compliment mathematical tools such as the image method, window functions and two-sided Laplace transformation for designing a whole new class of piezoelectric sensors that can be used to tailor the gain and phase portions of the sensor transfer functions independently. It can be demonstrated that by properly applying the boundary conditions and the method of imaging, the targeted origin of this new class of sensor design can be traversed anywhere along the surface of the testing structure. In addition, the active sensor concept that integrates classical control theory with piezoelectric sensors can be adapted to further advance sensor technology. The design concept, theoretical derivations, numerical calculations and experimental verifications of implementing this class of new sensor design to influence flexible structure control and point sensor design methodologies are detailed.