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Open Access

Neural network control for mitigating actuator delay in ATR engines using predictive compensation and stability reward

Weidong CAIa,b,cWei ZHAOa,b,cXiaorong XIANGa,b,cSanqun RENa,bXuesen YANGa,bQingjun ZHAOa,b,c,d( )
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China
National Key Laboratory of Science and Technology on Advanced Light-duty Gas-turbine, Beijing 100190, China
School of Aeronautics and Astronautics, University of Chinese Academy of Sciences, Beijing 101408, China
Beijing Key Laboratory of Distributed Combined Cooling Heating and Power System, Beijing 100190, China

Peer review under responsibility of Editorial Committee of CJA.

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Abstract

The flight envelope of Air Turbo Rocket (ATR) engines is broader compared to conventional aero-engines, and designing a full-envelope controller using traditional methods poses significant challenges due to a burdensome design process. To address this issue, this paper proposes a self-learning neural network controller design method based on Reinforcement Learning (RL). Additionally, a method for predictive compensation and stability rewards is proposed to reduce the system oscillation caused by actuator delay. This approach simplifies the actuator to a first-order inertial element exhibiting pure delay. A simulation environment for the ATR engine-actuator system is first established. Based on this environment, a self-learning neural network controller using a predictive compensator and the Proximal Policy Optimization (PPO) algorithm is then developed. Furthermore, the temporal difference signals from the controller output are integrated into the reward function to enhance system stability. The proposed method is validated through numerical simulations and semi-physical experiments. The numerical simulation results demonstrate that the proposed method increases the system’s tolerance to delays from 20 ms to 400 ms. Under an actuator delay of 400 ms, the average steady-state error remains less than 0.1%, the overshoot is limited to 1%, and the settling time does not exceed 3 s. Moreover, compared to the traditional method, the proposed method exhibits higher adaptability to model errors and variations in flight conditions. In the conducted semi-physical simulation experiments, the proposed method achieves stable control of a real electric pump.

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Chinese Journal of Aeronautics

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Cite this article:
CAI W, ZHAO W, XIANG X, et al. Neural network control for mitigating actuator delay in ATR engines using predictive compensation and stability reward. Chinese Journal of Aeronautics, 2026, 39(2). https://doi.org/10.1016/j.cja.2025.103720

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Received: 26 December 2024
Revised: 13 February 2025
Accepted: 13 May 2025
Published: 25 July 2025
© 2025 The Author(s). Chinese Society of Aeronautics and Astronautics.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).