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arXiv 2501.03445cs.LG

用于快速起飞轨迹设计的物理约束生成式人工智能

Physics-Constrained Generative Artificial Intelligence for Rapid Takeoff Trajectory Design

Missouri University of Science and Technology(密苏里科技大学)

Samuel Sisk, Xiaosong Du

AI总结:

提出physicsGAN将eVTOL起飞控制设计空间转换为可行空间,并结合代理模型在Airbus A3 Vahana上实现2.2秒、99.6%准确率且全部可行的快速轨迹优化。

摘要:

为助力城市空中交通(UAM),电动垂直起降(eVTOL)飞行器正成为发展目标。传统的多学科分析与优化(MDAO)可能成本高昂,而基于代理模型的优化在处理具有挑战性的物理约束时可能遇到困难。本研究提出了物理约束生成对抗网络(physicsGAN),用于智能参数化eVTOL飞行器的起飞控制剖面,并将原始设计空间转换为可行空间。具体而言,转换后的可行空间是指其中所有设计都直接满足全部设计约束的空间。由physicsGAN支持的、基于代理模型的起飞轨迹设计框架在Airbus A3 Vahana上进行了验证。physicsGAN在可行空间中仅生成可行的功率和机翼角度控制剖面,约98.9%的设计满足所有约束。所提出的设计框架与基于仿真的优化设计相比达到99.6%的准确率,且仅需2.2秒,将计算时间减少约200倍。同时,采用无导数优化器的、由数据驱动GAN支持的基于代理模型的优化耗时21.9秒,比所提出的框架慢约一个数量级。此外,使用基于梯度优化器的数据驱动GAN优化在随机试验中无法持续找到最优设计,并会陷入不可行区域,这在实际应用中存在问题。因此,所提出的基于physicsGAN的设计框架在效率(2.2秒)、最优性(99.6%准确)和可行性(100%可行)方面均优于基于数据驱动GAN的设计。根据文献综述,这是首个由代理模型支持的物理约束生成式人工智能。

英文摘要:

To aid urban air mobility (UAM), electric vertical takeoff and landing (eVTOL) aircraft are being targeted. Conventional multidisciplinary analysis and optimization (MDAO) can be expensive, while surrogate-based optimization can struggle with challenging physical constraints. This work proposes physics-constrained generative adversarial networks (physicsGAN), to intelligently parameterize the takeoff control profiles of an eVTOL aircraft and to transform the original design space to a feasible space. Specifically, the transformed feasible space refers to a space where all designs directly satisfy all design constraints. The physicsGAN-enabled surrogate-based takeoff trajectory design framework was demonstrated on the Airbus A3 Vahana. The physicsGAN generated only feasible control profiles of power and wing angle in the feasible space with around 98.9% of designs satisfying all constraints. The proposed design framework obtained 99.6% accuracy compared with simulation-based optimal design and took only 2.2 seconds, which reduced the computational time by around 200 times. Meanwhile, data-driven GAN-enabled surrogate-based optimization took 21.9 seconds using a derivative-free optimizer, which was around an order of magnitude slower than the proposed framework. Moreover, the data-driven GAN-based optimization using gradient-based optimizers could not consistently find the optimal design during random trials and got stuck in an infeasible region, which is problematic in real practice. Therefore, the proposed physicsGAN-based design framework outperformed data-driven GAN-based design to the extent of efficiency (2.2 seconds), optimality (99.6% accurate), and feasibility (100% feasible). According to the literature review, this is the first physics-constrained generative artificial intelligence enabled by surrogate models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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