Design and Implementation of LMI-based H∞ Controller for Single-stage Inverted Pendulum

Resource Overview

Using Googol Technology's linear single-stage inverted pendulum as the control object, this study designs a robust H∞ controller based on Linear Matrix Inequalities (LMI). The implementation utilizes Simulink for system modeling and M-files for controller design, with comprehensive algorithm validation through simulation and experimental verification.

Detailed Documentation

This research focuses on designing a robust H∞ controller based on Linear Matrix Inequalities (LMI) for Googol Technology's linear single-stage inverted pendulum system to enhance control system stability and robustness. The implementation involves MATLAB/Simulink for system modeling and M-file scripting for controller development, incorporating functions like 'hinfsyn' for H∞ synthesis and LMI solvers for optimization constraints. Through experimental validation, we evaluate the control system's performance while examining how controller parameters affect system behavior. The study also addresses design challenges such as trade-offs between performance and robustness, proposing practical solutions through iterative LMI optimization techniques. This research yields valuable conclusions and recommendations that provide significant insights for future control system designs, particularly in robust controller implementation using mathematical optimization approaches.