Comparative Analysis of SMC-LMI and LQR Controllers for Double Inverted Pendulum

Tóm tắt

This paper introduces an innovative method for achieving stability of the highly nonlinear and unstable double inverted pendulum using a
combination of linear matrix inequality (LMI) techniques and sliding mode control (SMC). Sliding mode control is a widely used technique
for stabilizing the highly unstable and nonlinear double inverted pendulum system. The LMI-based approach is well-suited for handling
system uncertainties and constraints, making it a potent tool for robust control design. Compared to other nonlinear control methods, the LMI
approach is more computationally efficient and simpler to implement. The controller proposed in this study is evaluated alongside the Linear
Quadratic Regulator (LQR) controller to demonstrate its superior performance. The simulation results obtained through the proposed controller
demonstrate its effectiveness in stabilizing the double inverted pendulum.