Shortcut to stationary regimes: a simple experimental demonstration

TL;DR

This paper presents a simple experimental method to quickly reach and switch between stationary regimes in a RC circuit using reverse engineering, demonstrating its pedagogical and practical utility.

Contribution

It introduces a novel reverse engineering approach for controlling RC circuit dynamics, enabling rapid stabilization and regime switching.

Findings

Fast attainment of stationary regimes in RC circuits

Effective control of capacitor discharge and frequency response

Potential educational applications for circuit control

Abstract

We introduce a reverse engineering approach to drive a RC circuit. This technique is implemented experimentally 1) to reach a stationary regime associated to a sinusoidal driving in very short amount of time, 2) to ensure a fast discharge of the capacitor, and 3) to guarantee a fast change of stationary regime associated to different driving frequencies. This work can be used as a simple experimental project dedicated to the computer control of a voltage source. Besides the specific example addressed here, the proposed method provides an original use of simple linear differential equation to control the dynamical quantities of a physical system, and has therefore a certain pedagogical value.