Balanced Control Analysis of Single Inverted Pendulum Systems Using PID Methodology

An investigation into balance control strategies for single inverted pendulum systems is presented. The study initiates with mathematical modeling of the system dynamics, followed by PID controller design and comprehensive simulation experiments. Simulation results validate PID effectiveness in balance maintenance while demonstrating control characteristics and performance metrics. The implementation includes MATLAB/Simulink modeling with real-time parameter tuning capabilities.

Newtonian Dynamics Approach for Single Inverted Pendulum System with Control Method Comparison

This study employs Newtonian dynamics methodology to establish a mathematical model of a single inverted pendulum system, followed by comparative simulation analysis of PID control (based on classical control theory), LQR control (based on optimal control theory), and fuzzy logic control methods. The simulation implementation includes system linearization techniques, state-space formulations for LQR design, and membership function configuration for fuzzy controllers. The analytical results provide theoretical guidance for research in this field, with practical insights into controller tuning parameters and stability margin comparisons.