measure response of an electric circuit

The study of dynamic systems is fundamental in understanding and designing modern engineering systems.

This project focuses on the analysis and design of a simple electrical circuit, as shown in the figure, using

system dynamics principles. The goal is to develop a mathematical model for the system, simulate its

behavior, and implement a physical prototype to validate the results. This involves deriving transfer

functions, state-space representations, and analytical expressions for the output response. Additionally, the

project explores frequency response characteristics through Bode plots, both analytically and

experimentally, to determine key performance metrics such as phase margin and gain margin. By integrating

simulation tools like MATLAB, Simulink, and Simscape with hands-on experimentation using Arduino

microcontrollers, this project bridges theoretical concepts with practical implementation, offering a

comprehensive approach to system dynamics.