Time-varying Rotational Inverted Pendulum Control using Fuzzy Approach

TL;DR

This paper presents a novel adaptive fuzzy control method for a nonlinear, time-varying rotational inverted pendulum, demonstrating improved stability and performance over traditional feedback linearization approaches.

Contribution

It introduces an indirect adaptive fuzzy controller that effectively manages parameter variations in a nonlinear pendulum system, outperforming conventional controllers.

Findings

Adaptive fuzzy controller maintains stability despite parameter changes.

Proposed method achieves zero tracking error.

Outperforms feedback linearization in efficiency.

Abstract

In this paper, a nonlinear rotational inverted pendulum with time-varying parameters is controlled using the indirect adaptive fuzzy controller design. This type of controller is chosen because this particular system performance is highly sensitive to unavoidable unknown model changes. So, a conventional controller is firstly designed through feedback linearization method, and applied to the system. Feedback linearization method here is used for two purposes; to attain an approximation of necessary system dynamics and to assess the performance of the proposed adaptive fuzzy controller by comparing the results of both adaptive fuzzy and feedback linearization controllers. An indirect adaptive fuzzy controller, resistant to parameter variations is then proposed. The general structure of the adaptive controller is specified in the first stage. In the second stage, its parameters are regulated with the aid of two fuzzy systems. Lyapunov stability theorem is used to regulate the system parameters such that the closed loop system is stabilized and zero tracking error is attained. Finally, the results of the proposed and the conventional approaches are compared. Results showed that the adaptive fuzzy controller performed more efficiently than the classical controller, with existing parameters variations.