Applications of Port Hamiltonian methods to non-iterative stable simulations of the KORG35 and MOOG 4-pole VCF

Mohammed Danish, Stefan Bilbao, Michele Ducceschi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

This paper presents an application of the port Hamiltonian formalism to the nonlinear simulation of the OTA-based Korg35 filter circuit and the Moog 4-pole ladder filter circuit. Lyapunov analysis is used with their state-space representations to guarantee zero-input stability over the range of parameters consistent with the actual circuits. A zero-input stable non-iterative discrete-time scheme based on a discrete gradient and a change of state variables is shown along with numerical simulations. Simulations show behavior consistent with the actual operation of the circuits, e.g.,self-oscillation, and are found to be stable and have lower computational cost compared to iterative methods.
Original languageEnglish
Title of host publicationProceedings of the International Conference on Digital Audio Effects
Place of PublicationVienna, Austria
Number of pages8
Publication statusPublished - 29 Jun 2021

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