Next Article in Journal
Structural Reduction Framework and Residence-Time Compression of Coherent Same-Scale Triadic Interactions in the 3D Navier–Stokes Equations
Previous Article in Journal
Remaining Useful Life Prediction for Lithium-Ion Batteries Based on a Deep Mixed-Effect Gaussian Process Model
Previous Article in Special Issue
A New Perspective on the Energy Decay of the Timoshenko–Ehrenfest System: The Non-Local Truncated Approach
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

A Transformer-Based Deep Reinforcement Learning Method for Controller Parameter Modulation in Fault-Tolerant Control

1
School of Engineering, University of Glasgow, Glasgow G12 8QQ, UK
2
School of Mechano-Electronic Engineering, Xidian University, Xi’an 710126, China
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(9), 1409; https://doi.org/10.3390/math14091409
Submission received: 23 March 2026 / Revised: 14 April 2026 / Accepted: 15 April 2026 / Published: 23 April 2026

Abstract

This paper proposes a Transformer-based deep reinforcement learning method for adaptive controller parameter modulation. Unlike conventional approaches relying on metaheuristic optimization with fault-specific tuning or model-based gain scheduling, the proposed method learns a unified parameter modulation policy through direct environment interaction without requiring pre-computed optimal solutions. The key innovation lies in a parameter tokenization mechanism that represents each controller parameter as an independent token, enabling self-attention to capture cross-parameter dependencies for coordinated adaptation. A sequential state encoder extracts temporal fault evolution patterns, while fault-aware cross-attention integrates fault context to guide parameter adjustment according to varying fault types and severities. The policy is trained end-to-end using Proximal Policy Optimization with randomized fault injection. Experiments across three systems demonstrate consistent improvements: compared with GA-based tuning, the proposed method achieves lower ISE using a single policy without fault-specific re-optimization; against PSO-based backstepping control, the proposed method achieves tighter error bounds; compared with TD3-based PI scheduling, RMSE is reduced by 55% and recovery time by 47% under time-varying faults. These results validate that the proposed architecture enables effective fault-aware parameter modulation while preserving baseline controller structure.
Keywords: adaptive actuator fault recovery; transformer-DRL-based controller parameter modulation; deep reinforcement learning; fault tolerant control adaptive actuator fault recovery; transformer-DRL-based controller parameter modulation; deep reinforcement learning; fault tolerant control

Share and Cite

MDPI and ACS Style

Zhang, C.; Li, X. A Transformer-Based Deep Reinforcement Learning Method for Controller Parameter Modulation in Fault-Tolerant Control. Mathematics 2026, 14, 1409. https://doi.org/10.3390/math14091409

AMA Style

Zhang C, Li X. A Transformer-Based Deep Reinforcement Learning Method for Controller Parameter Modulation in Fault-Tolerant Control. Mathematics. 2026; 14(9):1409. https://doi.org/10.3390/math14091409

Chicago/Turabian Style

Zhang, Chenfei, and Xiangning Li. 2026. "A Transformer-Based Deep Reinforcement Learning Method for Controller Parameter Modulation in Fault-Tolerant Control" Mathematics 14, no. 9: 1409. https://doi.org/10.3390/math14091409

APA Style

Zhang, C., & Li, X. (2026). A Transformer-Based Deep Reinforcement Learning Method for Controller Parameter Modulation in Fault-Tolerant Control. Mathematics, 14(9), 1409. https://doi.org/10.3390/math14091409

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop