Optimized Backstepping control for inverted pendulum: Achieving superior robustness, speed and precision.

The inverted pendulum is a classical benchmark in control theory, known for its inherent instability and nonlinearity, making it a challenging problem for control engineers. In this paper, we propose a novel optimized backstepping control approach to address the challenges of stabilizing the inverted pendulum while ensuring robust performance, fast response, and high precision. Backstepping, a recursive design methodology for nonlinear systems, is employed due to its ability to systematically handle the pendulum’s nonlinear dynamics. To further enhance the performance of the controller, an optimization technique is applied to fine-tune the backstepping parameters, focusing on achieving a balance between robustness, speed, and precision in the pendulum’s stabilization. The optimization process is designed to minimize the control error while maintaining stability under various disturbances and model uncertainties. Simulation results validate the effectiveness of the proposed approach. The optimized backstepping controller demonstrates superior performance compared to traditional control methods, particularly in terms of robustness to external disturbances and parameter variations, fast convergence to the desired state, and precise tracking of the pendulum’s upright position. Additionally, the system exhibits low overshoot and minimal steady-state error, making it well-suited for applications requiring high control accuracy. The results highlight the potential of this optimized backstepping methodology for controlling complex nonlinear systems, providing a robust, fast, and precise solution for stabilizing the inverted pendulum, even in the presence of disturbances.