# A novel passivity based controller for a piezoelectric beam

## TL;DR

This paper introduces a new passivity property for piezoelectric devices and develops PI-like controllers exploiting this property, with simulation results demonstrating their effectiveness.

## Contribution

It proposes a novel passivity property and two control methodologies for piezoelectric beams based on integrable port-variables.

## Key findings

- Controllers exhibit desirable transient and steady-state behaviors
- Simulation results validate the effectiveness of the proposed controllers
- New passivity property enhances control design for piezoelectric devices

## Abstract

This paper presents a new passivity property for distributed piezoelectric devices with integrable port-variables. We present two new control methodologies by exploiting the integrability property of the port-variables. The derived controllers have a Proportional-Integral (PI) like structure. Finally, we present the simulation results and in-depth analysis on the tuning gains explaining their transient and steady-state behaviors.