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航空发动机的安全约束瞬态控制:一种数据驱动的微分同胚自适应动态规划框架。

Safety-constrained transient control for aero-engines: A data-driven diffeomorphic ADP framework.

作者信息

Liu Shuoshuo, Sun Tao, Li Peng, Xu Ning, Zhao Xudong

机构信息

The Key Laboratory of Intelligent Control and Optimization for Industrial Equipment, Ministry of Education, Dalian University of Technology, Dalian, 116024, China.

School of Information Science and Technology, Bohai University, Jinzhou, 121010, China.

出版信息

ISA Trans. 2025 Aug 5. doi: 10.1016/j.isatra.2025.08.004.

DOI:10.1016/j.isatra.2025.08.004
PMID:40908160
Abstract

To enable safety-constrained control of aero-engines under wide-range transient conditions, a novel data-driven diffeomorphic adaptive dynamic programming (ADP) framework is developed to explicitly enforce the state and input safety constraints. The approach begins by employing diffeomorphic transformations coupled with a dynamic control law to effectively eliminate explicit state constraints. This transformation reformulates the original constrained problem into an optimal control framework subject solely to virtual input saturation. Subsequently, to handle input constraints, an inverse hyperbolic tangent barrier function is designed, thereby facilitating the application of Bellman's optimality principle. Leveraging this framework, a data-driven policy iteration method is developed to efficiently approximate the solution of the Hamilton-Jacobi-Bellman equation and derive the optimal control law. Rigorous theoretical analysis confirms the feasibility and stability of the proposed approach. Extensive simulations on a JT9D engine validate the proposed method's capability in achieving safe and rapid operating condition transitions. Compared to traditional PID control and particle swarm optimization based model predictive control, the proposed method achieves superior control performance, reduces the acceleration time by 24.6 %, and significantly lowers computational complexity. This research presents a promising and practical solution for advanced aero-engine control.

摘要

为了在宽范围瞬态条件下实现航空发动机的安全约束控制,开发了一种新颖的数据驱动微分同胚自适应动态规划(ADP)框架,以明确执行状态和输入安全约束。该方法首先采用微分同胚变换并结合动态控制律,以有效消除明确的状态约束。这种变换将原始的约束问题重新表述为仅受虚拟输入饱和约束的最优控制框架。随后,为了处理输入约束,设计了一个反双曲正切障碍函数,从而便于应用贝尔曼最优性原理。利用该框架,开发了一种数据驱动的策略迭代方法,以有效地逼近哈密顿 - 雅可比 - 贝尔曼方程的解并推导最优控制律。严格的理论分析证实了所提方法的可行性和稳定性。在JT9D发动机上进行的大量仿真验证了所提方法实现安全、快速工况转换的能力。与传统的PID控制和基于粒子群优化的模型预测控制相比,所提方法具有更优的控制性能,加速时间缩短了24.6%,并显著降低了计算复杂度。本研究为先进航空发动机控制提供了一种有前景且实用的解决方案。

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