Journal Article

·2023 OPEN ACCESS

Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method

Uğur Yıldıran YTU

Sakarya University Journal of Science

Abstract

Inverted pendulums constitute one of the popular systems for benchmarking control algorithms. Several methods have been proposed for the control of this system, the majority of which rely on the availability of a mathematical model. However, deriving a mathematical model using physical parameters or system identification techniques requires manual effort. Moreover, the designed controllers may perform poorly if system parameters change. To mitigate these problems, recently, some studies used Reinforcement Learning (RL) based approaches for the control of inverted pendulum systems. Unfortunately, these methods suffer from slow convergence and local minimum problems. Moreover, they may require hyperparameter tuning which complicates the design process significantly. To alleviate these problems, the present study proposes an LQR-based RL method for adaptive balancing control of an inverted pendulum. As shown by numerical experiments, the algorithm stabilizes the system very fast without requiring a mathematical model or extensive hyperparameter tuning. In addition, it can adapt to parametric changes online.

Keywords

Inverted pendulum Reinforcement learning Double inverted pendulum Computer science Control theory (sociology) Parametric statistics Benchmarking Convergence (economics) Hyperparameter Adaptive control Process (computing) Control (management) Mathematical optimization Control engineering Artificial intelligence Mathematics Engineering Nonlinear system

Subject Areas

Extremum Seeking Control Systems ·Control and Systems Engineering ·Physical Sciences
Adaptive Dynamic Programming Control ·Computational Theory and Mathematics ·Physical Sciences
Iterative Learning Control Systems ·Control and Systems Engineering ·Physical Sciences

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