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This paper presents a new passivity property for distributed piezoelectricdevices with integrable port-variables. We present two new controlmethodologies 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 tuninggains explaining their transient and steady-state behaviors.

A novel passivity based controller for a piezoelectric beam