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State-space based modeling and simulation of airborne platform survivability with countermeasure system 基于状态空间的机载平台对抗系统生存能力建模与仿真
Q3 Earth and Planetary Sciences Pub Date : 2024-12-04 DOI: 10.1007/s42401-024-00332-y
P. V. Sreena, Usha P. Verma

The paper presents three-body interception simulation model, to study the survivability of airborne target against an interceptor, by launching a repeater-type countermeasure system termed as deceiver. State space representation of interceptor, target dynamic states along with autopilot, RF seeker is developed for three-dimensional engagement scenario. The trajectory of deceiver released from target is presented by propagating the discrete-state translational equations of motion. Classical proportional navigation guidance steers the interceptor towards the airborne moving target (or deceiver) based on the echo power received computed using Friis transmission formula. Effective jamming capability of deceiver on interceptor at different seeker acquisition ranges is indicated by ratio of power received from deceiver and target known as jammer-to-signal ratio. Numerical simulations are conducted to study the survivability chances of platform, when the deceiver is deployed from the target aircraft with interceptor approaching from side, head-end, tail-end, top. Miss distances of interceptor from platform and deceiver, interceptor lateral acceleration limits are presented. Monte carlo simulation studies are performed, and probability of platform survival when deceiver is released at different homing ranges of interceptor, as well as for deceiver amplifier gain variations are presented. This study also provides important system design parameters such as deceiver operation time to decide the battery specifications for electronics, and subsequently the overall system design.

本文建立了三体拦截仿真模型,通过发射一种被称为欺骗器的中继型对抗系统来研究机载目标对拦截器的生存能力。针对三维交战场景,开发了拦截器、目标动态状态以及自动驾驶仪、射频导引头的状态空间表示。通过传播离散状态运动平动方程,给出了欺诈者脱离目标的运动轨迹。传统的比例导航制导是根据弗里斯发射公式计算的接收回波功率来引导拦截弹朝着机载运动目标(或欺骗者)。在不同的导引头捕获距离上,欺骗器对拦截器的有效干扰能力由从欺骗器和目标接收的功率比表示,即干扰信比。通过数值模拟,研究了当拦截弹从侧面、前端、尾端和顶部逼近时,欺骗弹从目标飞机展开时平台的生存几率。给出了拦截弹与平台和掩体的脱靶距离、拦截弹横向加速度极限。通过蒙特卡罗仿真研究,给出了在拦截器不同导引距离释放欺骗体时平台的生存概率,以及欺骗体放大器增益的变化情况。本研究还提供了重要的系统设计参数,如欺骗操作时间,以决定电子产品的电池规格,并随后进行整体系统设计。
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引用次数: 0
Enhancing the airfoil performance for a fixed-wing Martian aircraft 提高固定翼火星飞行器的翼型性能
Q3 Earth and Planetary Sciences Pub Date : 2024-11-22 DOI: 10.1007/s42401-024-00329-7
Elena Karpovich, Timur Kombaev

In this paper, a series of low-Reynolds number airfoils were explored in application to the Long-Endurance Mars Exploration Flying Vehicle (LEMFEV) project. The end goal of the study was twofold:

  • to identify the most effective airfoil or airfoil-boundary layer trip combination for the given aircraft in cruise and unveil the underlying physical mechanism for this effectiveness;

  • to determine if the operating range of angles of attack for the selected airfoil could be expanded by placing the boundary layer trips in a relatively aft position such that they affected the boundary layer at a higher angle of attack.

The paper presented two sample specifications for the LEMFEV project; discussed the effect of turbulence on the performance of airfoils under the given conditions; justified the selection of an amplification factor for simulations; developed and justified the measure of merit for airfoil selection and optimization; as well as considered boundary layer trips as a means of enhancing the performance of the selected airfoil. For design and analysis, MATLAB and X-FOIL were used. The analysis showed that for the given design conditions, both considered sample mission profiles were performed better by an airplane with the SD7037-092-88 airfoil. Furthermore, for this airfoil and design conditions, boundary layer trips would only increase drag at lift coefficients where they forced transition, and the boundary layer trips didn’t expand the airfoil's operating range of angles of attack. In other words, eliminating the bubble had a detrimental effect on the lift-to-drag ratio of the airfoil. The friction drag increase due to early transition by far outweighed the pressure drag produced by the laminar bubble.

本文研究了一系列低雷诺数翼型在长航时火星探测飞行器(LEMFEV)工程中的应用。该研究的最终目标是双重的:以确定最有效的翼型或翼型边界层行程组合为给定的飞机在巡航和揭示这种有效性的潜在物理机制;以确定是否攻角的操作范围为选定的翼型可以通过放置边界层行程在一个相对后方的位置,使他们影响的边界层在一个较高的攻角扩大。本文提出了LEMFEV项目的两个样本规范;讨论了给定条件下湍流对翼型性能的影响;对模拟放大因子的选择进行了论证;发展和证明的措施优点翼型的选择和优化;以及考虑边界层行程作为提高所选翼型性能的一种手段。利用MATLAB和X-FOIL进行设计和分析。分析表明,在给定的设计条件下,采用SD7037-092-88翼型的飞机能够更好地执行两种考虑的样本任务剖面。此外,对于这种翼型和设计条件,边界层行程只会增加阻力在升力系数,他们强迫过渡,和边界层行程没有扩大翼型的攻角的操作范围。换句话说,消除气泡对翼型的升阻比有不利影响。由于早期过渡而增加的摩擦阻力远远大于层流气泡产生的压力阻力。
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引用次数: 0
Investigating the effects of induced vortices on airplane wing aerodynamic performance using ZnO nanostructure 利用ZnO纳米结构研究诱导涡对飞机机翼气动性能的影响
Q3 Earth and Planetary Sciences Pub Date : 2024-11-09 DOI: 10.1007/s42401-024-00326-w
Ahmad M. Malkawi, Rami J. Oweis

The need for revolutionary techniques to augment aerodynamic efficiency is paramount for achieving substantial reductions in drag and consequent fuel consumption. This paper revolves around exploiting zinc oxide nanostructures to increase boundary layer adhesion and delay stall in airfoils. Zinc oxide nanostructures are employed to induce vortices, re-energize the airflow and function as nano flow control device. The work on this paper commenced with the proof of concept by means of comprehensive computational simulation utilizing COMSOL software and ended with experimental lab tests. A meticulous two-step process involving the sol–gel method and dip coating was employed to grow nanorods on the wing’s surface. Initial prototyping utilized 3D printing, and subsequent aluminum samples were produced using sand casting techniques. The coated wing specimen underwent rigorous wind tunnel testing to assess its aerodynamic performance under controlled airflow conditions. This thorough approach facilitated a profound understanding of the coated wing's behavior, enabling insights for further optimization. The results revealed a significant 16% delay in stall and an average 4% reduction in drag. This pioneering approach not only optimizes aircraft aerodynamics but also mitigates fuel costs and environmental impact. Moreover, the study's observations offer avenues for future exploration, including the fine-tuning of coating parameters and exploring diverse applications of ZnO nanorods in aerospace engineering.

需要革命性的技术来提高空气动力学效率,以实现大幅减少阻力和随之而来的燃料消耗。本文围绕开发氧化锌纳米结构来增加边界层附着力和延迟翼型失速展开。利用氧化锌纳米结构诱导涡旋,使气流重新充能,起到纳米流动控制装置的作用。本文的工作从利用COMSOL软件进行综合计算模拟的概念验证开始,以实验实验室测试结束。采用溶胶-凝胶法和浸渍涂层两步工艺在机翼表面生长纳米棒。最初的原型使用3D打印,随后的铝样品使用砂型铸造技术生产。涂层机翼试样进行了严格的风洞测试,以评估其在受控气流条件下的气动性能。这种彻底的方法有助于深入了解涂层机翼的行为,从而为进一步优化提供见解。结果显示,该系统可显著降低16%的失速,平均降低4%的阻力。这种开创性的方法不仅优化了飞机的空气动力学,而且降低了燃料成本和对环境的影响。此外,该研究的观察结果为未来的探索提供了途径,包括涂层参数的微调和探索ZnO纳米棒在航空航天工程中的各种应用。
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引用次数: 0
Flatness-based path planning for fixed-wing UAVs in tight formation under synergistic aerodynamic constraints 协同气动约束下固定翼无人机紧密编队平面度路径规划
Q3 Earth and Planetary Sciences Pub Date : 2024-10-30 DOI: 10.1007/s42401-024-00325-x
Xiaosu Tan, Yuankai Li, Lianxing Wang, Guowei Zhang, Chen Peng

Tight formation flight, as a significant way for fixed-wing unmanned aerial vehicle (UAV) to execute missions, generates synergistic aerodynamic effects that significantly influence the motion decision-making and control of UAVs. In aerial refueling missions, this is manifested as complex aerodynamic effects such as vortices affecting the path planning of the refueling UAV. This paper proposes a path-planning method for fixed-wing UAVs to conduct aerial refueling under the constraints of synergistic aerodynamics. Firstly, an environment constraint model for vortex distribution is obtained from aerodynamic experimental data of the refueling formation. Subsequently, by utilizing the differential flatness property of fixed-wing UAVs, the nonlinear system states and control variables are mapped to linear functions of flat outputs. This allows the establishment of segment constraints for the path, enabling the use of a key-point heuristic algorithm in the flat output space to generate the aerial refueling flight path. Furthermore, a flat output minimum snap algorithm is applied for multi-constraint optimization of the flight path, resulting in a smooth and feasible optimal path. Simulation experiments demonstrate the effectiveness and advancement of the proposed path-planning method under the influence of vortices.

紧密编队飞行是固定翼无人机执行任务的重要方式,其产生的协同气动效应对无人机的运动决策和控制具有重要影响。在空中加油任务中,这表现为旋涡等复杂气动效应影响加油无人机的路径规划。提出了一种协同空气动力学约束下固定翼无人机空中加油路径规划方法。首先,根据加油编队的气动实验数据,建立了旋涡分布的环境约束模型;随后,利用固定翼无人机的微分平坦性,将非线性系统状态和控制变量映射为平坦输出的线性函数。这允许为路径建立分段约束,从而能够在平面输出空间中使用关键点启发式算法来生成空中加油飞行路径。在此基础上,采用平面输出最小夹击算法对飞行路径进行多约束优化,得到光滑可行的最优路径。仿真实验验证了该方法在涡旋影响下的有效性和先进性。
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引用次数: 0
Computational study on the effect of initial pitch angle on dragonfly hovering performance 初始俯仰角对蜻蜓悬停性能影响的计算研究
Q3 Earth and Planetary Sciences Pub Date : 2024-10-24 DOI: 10.1007/s42401-024-00324-y
Shubham Tiwari, Sunil Chandel

A numerical analysis has been conducted to study the role of hindfoil initial pitch angle on aerodynamic performance of dragonfly hovering flight. The inclined oscillation of two elliptic airfoils with tandem arrangment at (:Re=157) is analysed using 2D numerical simulation. The pitch amplitude ((:{alpha:}_{m})) is kept constant for both foils and hindfoil initial pitch angle ((:{alpha:}_{{o}_{h}})) is varied from (:{15}^{o}) to (:{75}^{o}) for three different phase oscillations: (:varphi:=:{0}^{o}), (:{90}^{o}) and (:{180}^{o}). The results indicate, for (:{alpha:}_{{o}_{h}}) < (:{45}^{o}), the lower (:{alpha:}_{{o}_{h}}) reduces total lift for all phase differences. It occurs due to the detrimental wake capture and downward dipole jet encountered by hindfoil during downstroke, resulting in less hindfoil (:stackrel{-}{{C}_{V}}). However, for (:{alpha:}_{{o}_{h}}) > (:{45}^{o}), lift enhancement of up to (:46:%) is observed with increase in (:{alpha:}_{{o}_{h}}) during (:varphi:=:{180}^{o}). Also, the higher thrust is obtained during lower (:{alpha:}_{{o}_{h}}) and it reduces with increase in (:{alpha:}_{{o}_{h}}).

通过数值分析,研究了尾翼初始俯仰角对蜻蜓悬停飞行气动性能的影响。采用二维数值模拟的方法,分析了在(:Re=157)处两串列布置的椭圆型翼型的倾斜振荡。桨距振幅((:{alpha:}_{m}))对两种桨叶都保持不变,对于三个不同的相位振荡:(:varphi:=:{0}^{o}), (:{90}^{o})和(:{180}^{o}),后桨叶初始俯仰角((:{alpha:}_{{o}_{h}}))从(:{15}^{o})到(:{75}^{o})变化。结果表明,对于(:{alpha:}_{{o}_{h}}) &lt; (:{45}^{o}),较低的(:{alpha:}_{{o}_{h}})降低了所有相位差的总升力。它的发生是由于不利的尾流捕获和下冲程中后翼遇到的向下偶极子射流,导致后翼减少(:stackrel{-}{{C}_{V}})。然而,对于(:{alpha:}_{{o}_{h}}) &gt; (:{45}^{o}),在(:varphi:=:{180}^{o})期间,随着(:{alpha:}_{{o}_{h}})的增加,升力增加到(:46:%)。同时,在较低(:{alpha:}_{{o}_{h}})时获得较高的推力,并随着(:{alpha:}_{{o}_{h}})的增加而减小。
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引用次数: 0
Analysis of computational schemes for calculating gradient of fluid dynamic quantities on various grids 不同网格上流体动力量梯度的计算方法分析
Q3 Earth and Planetary Sciences Pub Date : 2024-10-08 DOI: 10.1007/s42401-024-00323-z
Andrey Kozelkov, Andrey Struchkov, Roman Zhuchkov, Dmitry Strelets

The paper examines computational schemes for calculating the gradient of fluid dynamic quantities using grids of various types. The Green–Gauss method and the least squares method (LSM) used to develop a hybrid gradient calculation scheme are considered. It is demonstrated that the accuracy of gradient calculations may vary depending on the geometry of the control volume: the Green–Gauss method exhibits lower errors for strongly elongated thin cells and cells with curved edges, while for cells with orthogonal edges, it is preferable to use LSM. In order to improve the accuracy of calculations on unstructured grids, a hybrid gradient calculation scheme is proposed. This scheme computes the gradient by summing values derived from both the Green–Gauss method and LSM, given the weight function that incorporates the geometry of the control volume. The paper presents a formula for the weight function, which determines the contribution of each method within the hybrid scheme. The developed scheme is applied to the problem of supersonic flow around a cylinder with a needle on two unstructured grids, namely truncated hexagons and tetrahedra. It is shown that the proposed hybrid scheme reduces the error in calculating the aerodynamic characteristics of a streamlined object.

本文探讨了利用各种类型的网格计算流体动力量梯度的计算方案。考虑了采用格林-高斯法和最小二乘法(LSM)建立混合梯度计算方案。结果表明,梯度计算的精度可能因控制体积的几何形状而异:格林-高斯方法对于细长的薄细胞和具有弯曲边缘的细胞具有较低的误差,而对于具有正交边缘的细胞,更适合使用LSM。为了提高非结构化网格的计算精度,提出了一种混合梯度计算方案。该方案通过对Green-Gauss方法和LSM方法得出的值求和来计算梯度,给定了包含控制体积几何形状的权重函数。本文给出了一个权重函数公式,用于确定每种方法在混合方案中的贡献。将所开发的格式应用于在截断六边形和四面体两种非结构化网格上的带针圆柱的超音速绕流问题。结果表明,所提出的混合方案减小了流线型物体气动特性计算的误差。
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引用次数: 0
Efficient machine learning based techniques for fault detection and identification in spacecraft reaction wheel 基于机器学习的高效航天器反应轮故障检测和识别技术
Q3 Earth and Planetary Sciences Pub Date : 2024-09-30 DOI: 10.1007/s42401-024-00322-0
T. S. Abdel Aziz, G. I. Salama, M. S. Mohamed, S. Hussein

Space exploration demands robust spacecraft(SC) subsystems to endure the harsh conditions of space and ensure mission success. Attitude determination and control subsystems (ADCS), as a significant subsystem within SC, are essential for providing the necessary pointing accuracy and stability, and failures in the ADCS can lead to mission failure. Therefore, robust design, thorough testing, and Fault Detection, Isolation and Identification(FDII) techniques are crucial for spacecraft operations. This paper focuses on developing advanced FDII techniques for reaction wheels(RW) within ADCS, evaluating the Prony-based FDII technique for RW, considering its accuracy, time complexity, and memory usage, and Additionally, it introduces new machine learning-based FDII techniques, including enhancements to the Prony-based FDII technique, to manage single faults more effectively. The new proposed techniques used to explore the novel area of multiple faults within the same subsystem. Results indicate that the proposed FDII techniques significantly improve fault detection accuracy, isolation time, and memory efficiency compared to traditional techniques. These advancements enhance the reliability and longevity of spacecraft missions, ensuring that critical subsystems like ADCS operate effectively in the challenging conditions of space. The contributions presented in the paper are introducing three different FDII machine learning-based techniques that support identifying five types of single faults in spacecraft ADCS RW, outperform the Prony-based FDII technique for spacecraft ADCS RW in terms of time and memory complexity, and Finally, improves the fault tolerance of the spacecraft system by detecting Multiple fault combinations that may occur at the same time in one system.

太空探索需要坚固耐用的航天器(SC)子系统来承受恶劣的太空条件并确保任务成功。姿态确定和控制子系统(ADCS)作为太空船(SC)中的一个重要子系统,对于提供必要的指向精度和稳定性至关重要,ADCS 的故障可能导致任务失败。因此,稳健的设计、全面的测试以及故障检测、隔离和识别(FDII)技术对于航天器的运行至关重要。本文重点关注为 ADCS 内的反应轮(RW)开发先进的 FDII 技术,评估基于 Prony 的 RW FDII 技术,考虑其准确性、时间复杂性和内存使用情况,并介绍基于机器学习的新 FDII 技术,包括对基于 Prony 的 FDII 技术的增强,以更有效地管理单个故障。新提出的技术用于探索同一子系统内的多重故障这一新颖领域。结果表明,与传统技术相比,拟议的 FDII 技术显著提高了故障检测精度、隔离时间和内存效率。这些进步提高了航天器任务的可靠性和寿命,确保 ADCS 等关键子系统在充满挑战的太空条件下有效运行。本文的贡献在于介绍了三种不同的基于 FDII 机器学习的技术,它们支持识别航天器 ADCS RW 中的五种单一故障,在时间和内存复杂性方面优于基于 Prony 的航天器 ADCS RW FDII 技术,最后,通过检测一个系统中可能同时出现的多种故障组合,提高了航天器系统的容错性。
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引用次数: 0
Research on altitude adjustment performance of stratospheric airship based on thermodynamic-dynamic-pressure coupled 基于热动力-动力-压力耦合的平流层飞艇高度调整性能研究
Q3 Earth and Planetary Sciences Pub Date : 2024-09-22 DOI: 10.1007/s42401-024-00319-9
Jiwei Tang, Shumin Pu, Xiaodan Long, Peixi Yu

A comprehensive simulation model is established to design the altitude adjustment of the stratospheric airship with the application of the adjustable ballonets for pitch control. A series of mathematical models, including atmosphere, thermal, dynamics and kinematics, airship pressure and pitch control, are developed to achieve the altitude adjustment when the stratospheric airship flying at the stationary phase. The altitude adjustment strategy takes the thermodynamics, dynamics, and pressure control requirements together into consideration, to better fulfill the realistic flight conditions. Based on these models, the characteristics of stratospheric airship’s flight performance are simulated and discussed in detail. The results show that taking adjustable ballonets as the actuator can realize the pitch and pressure control simultaneously and satisfy the requirements of the flight missions. Furthermore, stratospheric airship can achieve altitude adjustment with the application of adjustable ballonets and propulsion system coordinately. Moreover, the simulation model can accurately present the interaction of thermodynamics, pressure, and dynamics, which better satisfies the realistic flight situation. The results and conclusions presented herein contribute to the design and operation of stratospheric airship.

建立了一个综合仿真模型,用于设计平流层飞艇的高度调整,并应用可调气球进行俯仰控制。建立了一系列数学模型,包括大气、热、动力学和运动学、飞艇压力和俯仰控制,以实现平流层飞艇在静止阶段飞行时的高度调整。高度调整策略综合考虑了热力学、动力学和压力控制要求,以更好地满足现实飞行条件。基于这些模型,对平流层飞艇的飞行性能特征进行了模拟和详细讨论。结果表明,采用可调式气球作为推杆可以同时实现俯仰和压力控制,满足飞行任务的要求。此外,平流层飞艇可以通过可调气球和推进系统的协调应用实现高度调节。此外,仿真模型能够准确呈现热力学、压力学和动力学的相互作用,更好地满足了现实飞行情况的需要。本文提出的结果和结论有助于平流层飞艇的设计和运行。
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引用次数: 0
A trajectory prediction method for boost phase BM based on adaptive tracking and GPR 基于自适应跟踪和探地雷达的助推段弹道预测方法
Q3 Earth and Planetary Sciences Pub Date : 2024-09-16 DOI: 10.1007/s42401-024-00321-1
Fanjun Zeng, Xiaoyan Li, Linyi Jiang, Jianing Yu, Wenhao Pan, Xinyue Ni, Fansheng Chen

Trajectory prediction (TP) of ballistic missile (BM) is a critical task in the field of military and defense security. However, influenced by various external factors, including target maneuverability, interference, and atmospheric conditions, BMs encounter complex forces during the boost flight phase, making their trajectories complex and variable. Furthermore, the conventional numerical integration and polynomial fitting TP methods are highly dependent on fixed motion models and precise initial observations, so they tend to engender error accumulation and inaccurate predictions. Thus, in terms of this issue, this paper proposed a TP method based on adaptive tracking and Gaussian Process Regression (GPR) to achieve stability in short-term TP for boost phase BM. Specifically, a database of trajectories for boost phase BM is created and used for training GPR predictive models, in which the unknown noise's covariance matrix is dynamically adjusted according to the statistical characteristics of observations to provide more precise trajectory data for model training. At the same time, incremental learning is adopted to add tracking results from real-time tests to improve further and update the predictive model. Additionally, the output uncertainty of GPR is also beneficial for decision-making systems usually making decisions in accordance with the uncertainty. Simulation results based on the GEO dual-satellite positioning system show that the absolute average TP RMSE of the boost phase BM of our proposed method can be less than 0.35 km, 0.51 km, and 0.62 km in future 20 s, 40 s, and 60 s, which outperforms those of the numerical integration method of 2.1 km, 3.7 km, and 6.9 km and the function approximation method of 0.89 km, 3.1 km, and 6.1 km. This paper provides a significant reference for the positioning, tracking, and prediction of BM in boost phase.

弹道导弹的弹道预测是军事和国防安全领域的一项重要任务。然而,由于受到多种外部因素的影响,包括目标机动性、干扰和大气条件,弹道导弹在助推飞行阶段遇到复杂的力,使其轨迹复杂多变。此外,传统的数值积分和多项式拟合TP方法高度依赖于固定的运动模型和精确的初始观测,因此容易产生误差积累和不准确的预测。因此,针对这一问题,本文提出了一种基于自适应跟踪和高斯过程回归(GPR)的TP方法,以实现升压相BM的短期TP稳定性。具体而言,建立了助推段弹道数据库,用于训练探地雷达预测模型,根据观测值的统计特征动态调整未知噪声的协方差矩阵,为模型训练提供更精确的弹道数据。同时,采用增量学习的方法,加入实时测试的跟踪结果,进一步改进和更新预测模型。此外,探地雷达输出的不确定性也有利于决策系统根据不确定性进行决策。基于GEO双星定位系统的仿真结果表明,该方法在未来20 s、40 s和60 s助推段弹道导弹的绝对平均TP RMSE分别小于0.35 km、0.51 km和0.62 km,优于数值积分法的2.1 km、3.7 km和6.9 km以及函数逼近法的0.89 km、3.1 km和6.1 km。本文为助推段弹道导弹的定位、跟踪和预测提供了重要参考。
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引用次数: 0
A comparison of adaptive optimizers for nonlinear aerodynamic modeling using flight test data 基于飞行试验数据的非线性气动建模自适应优化器的比较
Q3 Earth and Planetary Sciences Pub Date : 2024-09-12 DOI: 10.1007/s42401-024-00320-2
M. Elenchezhiyan, Ajit Kumar

In this paper, adaptive optimizer-based deep neural network approaches are used to predict nonlinear aerodynamic model using flight test data of standard aircraft. Adaptive optimizers namely Adam and RMSprop algorithms are chosen to model the force and moment coefficients during steady stall phenomena. The effectiveness of these two methods are being investigated and validated. The estimated results from adaptive optimizer based methods are statistically analysed and compared with the conventionally used maximum likelihood method. Comparison results from the above methods are found to be relatively better than the maximum likelihood estimates in terms of RMSE and correlation. Moreover, the adaptive optimization methods are proven to be advantageous over conventionally used methods which strongly depend on solving equations of motion.

利用标准飞机的飞行试验数据,采用基于自适应优化器的深度神经网络方法对非线性气动模型进行预测。采用自适应优化器Adam和RMSprop算法对稳态失速时的力和力矩系数进行建模。这两种方法的有效性正在研究和验证中。对基于自适应优化器方法的估计结果进行了统计分析,并与传统的极大似然方法进行了比较。以上方法的比较结果在RMSE和相关性方面相对优于最大似然估计。此外,自适应优化方法被证明优于传统的依赖于求解运动方程的方法。
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引用次数: 0
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Aerospace Systems
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