Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Robust Control of An Inverted Pendulum System Based on Policy Iteration in Reinforcement Learning

Version 1 : Received: 16 October 2023 / Approved: 17 October 2023 / Online: 17 October 2023 (13:04:30 CEST)

A peer-reviewed article of this Preprint also exists.

Ma, Y.; Xu, D.; Huang, J.; Li, Y. Robust Control of An Inverted Pendulum System Based on Policy Iteration in Reinforcement Learning. Appl. Sci. 2023, 13, 13181. Ma, Y.; Xu, D.; Huang, J.; Li, Y. Robust Control of An Inverted Pendulum System Based on Policy Iteration in Reinforcement Learning. Appl. Sci. 2023, 13, 13181.

Abstract

This paper is primarily focused on the robust control of an inverted pendulum system based on the policy iteration in reinforcement learning. First, a mathematical model of the single inverted pendulum system is established through a force analysis of the pendulum and trolley. Second, based on the theory of robust optimal control, the robust control of the uncertain linear inverted pendulum system is transformed into an optimal control problem with an appropriate performance index. Moreover, for the uncertain linear and nonlinear systems, two reinforcement-learning control algorithms are proposed using the policy iteration method. Finally, two numerical examples are provided to validate the reinforcement learning algorithms for the robust control of the inverted pendulum systems.

Keywords

robust control; optimal control; inverted pendulum system; reinforcement learning

Subject

Engineering, Control and Systems Engineering

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