<p>The authors of this paper present a novel synthesis method for piezoelectric systems based on the Cauer’s method. The presented synthesis method opens new possibilities for the design of active damping systems using stacks of piezoelectric transducers with different geometric parameters or material properties, where each transducer in the stack is responsible for damping the next resonant frequency. The paper presents mathematical algorithms that have been used to synthesise models of piezoelectric systems, as well as an analytical method for verifying the generated models. A computer application for automating the calculations was also prepared, as well as a series of experimental tests on real piezoelectric systems. The authors carried out an analysis of the obtained results and based on this, determined the capabilities of the prepared synthesis method, as well as made proposals for its further development.</p>