Digital Twin-Empowered Robotic Arm Control: An Integrated PPO and Fuzzy PID Approach

Yigang Cen, Jie Deng, Chen Ye, H. H. Liu, Zhihui Zhong, Bo Fan, Le Chang, Li JiangMathematics 2025 · DOI

TL;DR

This paper introduces a novel approach to controlling robotic arms within a digital twin (DT) framework by integrating Proximal Policy Optimization (PPO) for robust decision-making in the face of virtual-real mapping errors and a Fuzzy PID controller for precise physical error correction. This combined strategy aims to enhance the accuracy and adaptability of robotic arm control in industrial settings.

What Problem Does This Paper Address?

Industrial robotic arms are increasingly being integrated with digital twin (DT) technology to enable remote operation and intelligent control. However, a significant challenge arises from discrepancies between the virtual DT model and the physical robot, known as virtual-real mapping errors (MEs). These errors, along with inherent physical inaccuracies in the robotic arm's mechanics, can lead to suboptimal control performance and reduced reliability. Existing methods often struggle to effectively manage both types of errors simultaneously, especially in dynamic and complex environments. This paper tackles the problem of achieving accurate and robust control for robotic arms within a DT system by addressing both virtual-real mapping errors and physical execution errors.

Methods

The core of this paper lies in a two-stage control strategy:

  • Digital Twin (DT) Framework: A DT system is established, mirroring a KUKA LBR iiwa robotic arm. This system integrates physical and virtual components, enabling real-time data flow and communication via an Industrial Internet of Things (IIoT) infrastructure.
  • Proximal Policy Optimization (PPO): For motion planning and decision-making, the PPO algorithm is employed. PPO is a deep reinforcement learning (DRL) algorithm known for its stability and effectiveness in continuous control tasks. It's deployed in the cloud-based DT to train an agent that can adapt to virtual-real mapping errors by learning robust policies.
  • Fuzzy PID Controller: To address the physical errors of the robotic arm that PPO might not fully compensate for, a fuzzy PID controller is implemented at the device level. This controller dynamically adjusts PID parameters (Kp, Ki, Kd) based on the error and its rate of change, allowing for quick and accurate correction of physical execution errors.

The overall workflow involves the PPO agent in the DT making decisions for motion planning, which are then executed by the physical robot. Any resulting physical errors are then fine-tuned by the fuzzy PID controller.

Datasets

The paper does not explicitly mention the use of pre-existing datasets for training. Instead, it describes a simulation environment built using PyBullet, where a robotic arm is trained to reach a target while avoiding an obstacle. The "data" used for training is generated within this simulated DT environment, incorporating simulated mapping errors.

Key Insights and Ideas

  • Synergistic Error Management: The most significant insight is the effectiveness of combining a DRL approach (PPO) for handling abstract errors (virtual-real mapping) with a classical control method (Fuzzy PID) for concrete physical errors. This two-pronged approach offers a more comprehensive solution than either method alone.
  • PPO's Adaptability to Noise: The study demonstrates that PPO is remarkably resilient to virtual-real mapping errors (simulated as noise). Its performance degrades only slightly in the presence of these errors, making it a suitable choice for DT systems where such discrepancies are inevitable.
  • Fuzzy PID for Precision: The fuzzy PID controller proves to be highly effective in rapidly correcting physical execution errors, outperforming standard PID controllers in terms of response time, overshoot, and settling time.
  • DT as an Enabler: The DT platform provides the necessary infrastructure for real-time data, simulation, and computational power, which are crucial for training complex DRL models and deploying adaptive control strategies.

Key Results

  • The integrated PPO and Fuzzy PID approach successfully enabled the robotic arm to reach its target point while navigating around obstacles.
  • PPO demonstrated strong adaptability to virtual-real mapping errors, showing minimal performance degradation compared to its performance in a noiseless environment.
  • The fuzzy PID controller significantly improved control accuracy and speed compared to a standard PID controller, exhibiting faster response times and reduced overshoot in both second and third-order system simulations.
  • The proposed DT-empowered system achieved efficient error management, leading to improved accuracy and reliability in robotic arm control.

Limitations and Future Work

  • Simulation-to-Reality Gap: While the study uses a simulation environment, the paper acknowledges the inherent challenges of transferring learned policies from simulation to the real world. Future work could focus on bridging this sim-to-real gap more effectively.
  • Complexity of Real-World Scenarios: The current experiments involve fixed obstacle and target positions. Future research could explore more dynamic and complex environments with moving obstacles and targets.
  • Computational Cost: Although the DT and DRL approach offers advantages, the computational complexity of training PPO can be significant. Further optimization of the training process or exploration of more computationally efficient DRL algorithms could be beneficial.
  • Generalizability: While the study focuses on a specific robotic arm (KUKA LBR iiwa), future work could investigate the generalizability of this integrated approach to different types of robotic arms and industrial applications.
BibTeX
@inproceedings{cen2025digital,
  author = {Yigang Cen and Jie Deng and Chen Ye and H. H. Liu and Zhihui Zhong and Bo Fan and Le Chang and Li Jiang},
  title = {{Digital Twin-Empowered Robotic Arm Control: An Integrated PPO and Fuzzy PID Approach}},
  booktitle = {Mathematics},
  year = {2025},
  doi = {10.3390/math13020216},
}