Inverted Pendulum System Modeling with MATLAB

This document explores how to simulate the motion of an inverted pendulum system using MATLAB. The inverted pendulum represents a classic nonlinear control system whose dynamics can be modeled based on its physical characteristics. In MATLAB implementation, we can employ various numerical integration methods to simulate the pendulum's behavior - the Euler method provides a straightforward approach for basic simulations, while the Runge-Kutta methods (particularly RK4) offer higher accuracy for complex dynamic analysis. The simulation code typically involves defining system parameters through variables like pendulum length and mass, then solving the differential equations governing the pendulum's motion. By modifying these parameters in the MATLAB code, researchers can observe how changes affect the system's stability and oscillation patterns. Furthermore, MATLAB's visualization tools enable comparison between simulation results and actual pendulum behavior, allowing validation of model accuracy through plot generation and animation functions. The article will provide detailed explanations of the mathematical modeling process, code implementation strategies, and analysis techniques relevant to inverted pendulum simulations in MATLAB.