Classical double inverted pendulum — A complex overview of a system

The purpose of this article is to perform an in-depth analysis of the classical double inverted pendulum system using the Inverted Pendula Modeling and Control (IPMaC), a Simulink block library designed by the authors of the paper. The custom function blocks included in the IPMaC offer comprehensive program support for the modeling, simulation and control of classical and rotary inverted pendula systems. The library also incorporates software tools which provide a user-friendly graphical interface (GUI) to modeling and linearization procedures. With the aid of appropriate function blocks, GUI tools and demonstration schemes from the IPMaC, the classical double inverted pendulum system is analyzed, modeled and successfully stabilized in the unstable inverted position.