Applied Mathematical Modelling最新文献_第9页

Integrating government subsidies and payment mechanisms for green investment in retail supply chains 整合零售供应链绿色投资的政府补贴和支付机制

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2026-02-05 DOI: 10.1016/j.apm.2026.116819

Mahbub Parvez , Md. Al-Amin Khan , Anindita Paul , Aminur Rahman Khan , Ioannis Konstantaras

Government subsidies are critical for promoting green technology adoption in supply chains. Simultaneously, retail operations are influenced by complex financing structures such as prepayment discounts and delayed payments. This study develops an integrated framework that combines environmental policy measures-Investment-Based Subsidies (IBS), Performance-Based Subsidies (PBS), and an emission tax (ET)-with financial structuring mechanisms in retail supply chains. The model examines retailers’ optimal strategies for emission-control investment and inventory replenishment across three scenarios: (i) no green investment, (ii) green investment without subsidies, and (iii) green investment under IBS and PBS. Closed-form analytical solutions are derived for both full and partial prepayment settings, with convexity analysis confirming global optimality. To evaluate the financial efficiency of emission reduction, a new performance metric, Cost Saving per Unit Reduced Emission (CSURE), is introduced. Numerical experiments and sensitivity analyses demonstrate that with a fixed subsidy budget, PBS delivers greater cost savings, while IBS encourages larger emission reductions. Specifically, adopting green technology under IBS and PBS reduces total annual costs by up to 5.8% and 7.2%, respectively, and lowers emissions by approximately 18–20% in both prepayment contexts. These findings highlight the importance of aligning subsidy design with financing structures: IBS is more suitable for enforcing stricter emission controls in high-emission, developed industries, whereas PBS provides stronger incentives for cost-effective sustainability in emerging markets. This study advances the literature by integrating policy-driven subsidies with realistic payment mechanisms, offering both theoretical contributions and actionable insights for policymakers and practitioners.

政府补贴对于促进供应链采用绿色技术至关重要。同时，零售业务受到复杂的融资结构的影响，如提前付款折扣和延迟付款。本研究开发了一个综合框架，将环境政策措施——基于投资的补贴（IBS）、基于绩效的补贴（PBS）和排放税（ET）——与零售供应链中的金融结构机制相结合。该模型考察了零售商在三种情况下的最优排放控制投资和库存补充策略：(i)没有绿色投资，（ii）没有补贴的绿色投资，（iii） IBS和PBS下的绿色投资。导出了全部和部分预付设置的闭型解析解，凸性分析证实了全局最优性。为了评估减排的经济效益，引入了一种新的绩效指标——单位减排成本节约（CSURE）。数值实验和敏感性分析表明，在固定的补贴预算下，PBS提供了更大的成本节约，而IBS鼓励更大的减排。具体而言，在IBS和PBS下采用绿色技术分别可减少5.8%和7.2%的年度总成本，并在两种预付款情况下减少约18-20%的排放。这些发现强调了将补贴设计与融资结构结合起来的重要性：IBS更适合于在高排放的发达行业实施更严格的排放控制，而PBS则为新兴市场的成本效益可持续性提供了更强的激励。本研究通过将政策驱动的补贴与现实的支付机制结合起来，推进了文献的发展，为政策制定者和实践者提供了理论贡献和可操作的见解。

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引用次数: 0

Dynamic modeling of the rotor system with bolted joints considering microscopic contact and nonuniform preloads 考虑微观接触和非均匀预载荷的螺栓连接转子系统动力学建模

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2025-12-31 DOI: 10.1016/j.apm.2025.116731

Penghao Zhao , Jianhua Liu , Hao Gong , Zhengyue Tan , Zhongtian Lu

The intense vibration of rotor system assembled with bolted joints in high rotational speed brings a potential harm to aero-engine. However, the microscopic contact between disks, coupled with nonuniform preloads, introduces complex nonlinear properties to the rotor system, complicating vibration analysis. This study develops a novel dynamic model of rotor system with bolted joints, considering microscopic contact and nonuniform preloads. Specifically, sub-regions are divided based on pressure distribution under nonuniform preloads, and a multi-scale contact model is deduced based on the fractal theory and semi-analytical method. Subsequently, the lateral and bending stiffness models of bolted-joint disk are refined to incorporate nonuniform preload effects. After solving the motion equations, time/frequency-domain analyses are conducted to reveal the influence of nonuniform preloads and surface roughness on the vibration responses. Through numerical simulation, a comparative analysis is conducted with the traditional dynamic model without microscopic contact and nonuniform preloads. Finally, a bolted-joint rotor test rig is designed to verify the simulation results, and the vibration characteristics under rub-impact faults are analyzed numerically and experimentally.

螺栓连接转子系统在高转速下的剧烈振动对航空发动机具有潜在的危害。然而，转子盘间的微观接触，加上非均匀预紧力，给转子系统带来了复杂的非线性特性，使振动分析复杂化。考虑微观接触和非均匀预紧力，建立了一种新型螺栓连接转子系统动力学模型。具体而言，根据非均匀预紧力作用下的压力分布划分了小区域，并基于分形理论和半解析方法推导了多尺度接触模型。随后，对螺栓连接盘的横向和弯曲刚度模型进行了改进，以考虑非均匀预紧力效应。求解运动方程后，进行时频域分析，揭示非均匀预紧力和表面粗糙度对振动响应的影响。通过数值模拟，与传统无微观接触和非均匀预紧力的动力学模型进行了对比分析。最后，设计了螺栓连接转子试验台对仿真结果进行验证，并对碰摩故障下转子的振动特性进行了数值和实验分析。

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引用次数: 0

Enhanced stochastic resonance in the coupled FitzHugh-Nagumo neuron model with applications in rolling bearing composite fault diagnosis 耦合FitzHugh-Nagumo神经元模型增强随机共振在滚动轴承复合故障诊断中的应用

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2025-12-31 DOI: 10.1016/j.apm.2025.116734

Xiaoxiao Huang, Gang Zhang, Lianbing Xu, Lin He, Jiachen Hou

Stochastic resonance (SR) is a nonlinear phenomenon in which noise and periodic forcing interact within an excitable system, facilitating the transfer of energy from noise to a useful signal. Consequently, SR serves as an effective method for extracting weak signals from noisy backgrounds. The Fitz Hugh-Nagumo (FHN) model describes excitable stochastic dynamics. In this article, we construct a coupled FHNSR array (CFHNSRA) model, investigate the enhancement of SR in such coupled neurons, and apply the model to diagnosing composite faults in rolling bearings. First, we derive the equivalent potential function from the Langevin equation governing the system and analyze its steady state points and structural characteristic. Second, we derive the corresponding Fokker-Planck equation (FPE) and compute the steady state probability (SPD) to analyze the model’s dynamical behavior under parameter variations. We measure the impact of coupling factors and system parameters on the output signal-to-noise ratio (SNR). The results show that, under specific conditions, the response end not only replicates the SR phenomenon at the driver end, but also amplifies it, with the coupling factor playing a significant role in enhancing this effect. Next, to facilitate engineering applications, we develop an index, WMKC, to characterize fault impacts and propose an adaptive coupled FHN stochastic resonance method based on QGA-WMKC. We simulate periodic impact signals and validate the method's effectiveness using the fourth-order Runge-Kutta algorithm. Finally, to demonstrate the practicality and superiority of the CFHNSRA system, we utilized the dataset from the University of Paderborn, Germany, to detect three distinct fault signals. By comparing the coupled bistable SR, FHNSR, and coupled FHNSR systems, we show that the CFHNSRA effectively extracts weak signal features, accurately identifies fault frequencies, and performs well in detecting multi-interference and composite bearing faults.

随机共振（SR）是一种非线性现象，其中噪声和周期力在可激系统中相互作用，促进了能量从噪声向有用信号的转移。因此，SR是一种从噪声背景中提取微弱信号的有效方法。Fitz Hugh-Nagumo （FHN）模型描述了可激随机动力学。在本文中，我们构建了一个耦合FHNSR阵列（CFHNSRA）模型，研究了这种耦合神经元对SR的增强，并将该模型应用于滚动轴承的复合故障诊断。首先，从控制系统的朗之万方程推导出系统的等效势函数，分析了系统的稳态点和结构特性。其次，导出相应的Fokker-Planck方程（FPE），并计算稳态概率（SPD），分析模型在参数变化下的动力学行为。我们测量了耦合因素和系统参数对输出信噪比（SNR）的影响。结果表明，在特定条件下，响应端不仅复制了驱动端的SR现象，而且对其进行了放大，耦合因子对这种效应起到了显著的增强作用。其次，为了便于工程应用，我们建立了一个表征故障影响的指标WMKC，并提出了一种基于QGA-WMKC的自适应耦合FHN随机共振方法。利用四阶龙格-库塔算法对周期性冲击信号进行仿真，验证了该方法的有效性。最后，为了证明CFHNSRA系统的实用性和优越性，我们利用德国帕德博恩大学的数据集检测了三种不同的故障信号。通过对耦合双稳SR、FHNSR和耦合FHNSR系统的比较，表明CFHNSRA能有效提取微弱信号特征，准确识别故障频率，在检测多干扰和复合轴承故障方面表现良好。

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引用次数: 0

Energy-based modeling for field–circuit coupling 基于能量的场路耦合建模

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2025-12-24 DOI: 10.1016/j.apm.2025.116688

Robert Altmann , Idoia Cortes Garcia , Elias Paakkunainen , Philipp Schulze , Sebastian Schöps

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential–algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves the power balance, and facilitates the consistent interconnection of subsystems. A particular focus is put on low-frequency power applications in electrical engineering. Stranded, solid, and foil conductor models are investigated in the context of the eddy current problem. Each conductor model is shown to fit into the generalized energy-based structure, which allows their structure-preserving coupling with electrical circuits described by modified nodal analysis. Theoretical developments are validated through a numerical simulation of an oscillator circuit, demonstrating energy conservation in lossless scenarios and controlled dissipation when eddy currents are present. The applicability of the methodology towards engineering applications is studied through a numerical simulation of a nonlinear three-phase transformer.

本文提出了一个广义的基于能量的建模框架，扩展了最近为微分代数方程量身定制的公式。拟议的结构受到港口-汉密尔顿形式主义的启发，确保了无源性，保持了权力平衡，并促进了子系统的一致互连。一个特别的重点放在低频电源在电气工程中的应用。在涡流问题的背景下，研究了绞合导体、固体导体和箔导体模型。每个导体模型都适合于广义的基于能量的结构，这允许它们与修正节点分析描述的电路保持结构耦合。通过振荡器电路的数值模拟验证了理论发展，证明了无损情况下的能量守恒和涡流存在时的可控耗散。通过一个非线性三相变压器的数值模拟，研究了该方法在工程应用中的适用性。

引用次数: 0

Size-dependent damped free vibration of viscoelastic curved Timoshenko nanobeams resting on viscoelastic foundation through viscoelastic integral nonlocal strain gradient model 基于粘弹性积分非局部应变梯度模型的粘弹性弯曲Timoshenko纳米梁在粘弹性基础上的尺寸相关阻尼自由振动

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2026-01-07 DOI: 10.1016/j.apm.2026.116739

Chang Li , Rongjun Chen , Limin Guo , Hai Qing

Viscoelastic nanobeams on viscoelastic foundations enable enhanced vibration suppression and novel functionalities in M/NEMS devices. However, accurately predicting their size-dependent, time-damped vibrations demands robust nonclassical theories. This study presents a precise theoretical framework for the free damping vibration characteristics of a curved viscoelastic Timoshenko nanobeam resting on a size-dependent viscoelastic foundation. We develop a mathematically well-posed viscoelastic integral nonlocal strain gradient theory (VINSGT) by integrating integral nonlocal strain gradient theory (INSGT with the Kelvin-Voigt model, while accounting for the size effect in the foundations’ reaction force. The integral constitutive equations are transformed into an equivalent differential form, incorporating essential constitutive boundary conditions (CBCs). The governing equations are discretized via the generalized differential quadrature method (GDQM), yielding a complex eigenvalue problem. A two-step numerical scheme resolves the vibration frequencies and establishes the relationship between damping and viscous coefficients. Numerical examples validate the VINSGT framework and systematically investigate size effects in the damped vibration behavior of viscoelastic curved Timoshenko nanobeams on size-dependent foundations. This work provides a reliable theoretical basis for designing and optimizing vibration control in advanced M/NEMS with viscoelastic nanobeam-foundation systems.

粘弹性纳米梁在粘弹性基础上增强了M/NEMS设备的振动抑制和新功能。然而，要准确预测它们的尺寸相关、时间阻尼的振动，需要强大的非经典理论。本研究提出了基于尺寸相关粘弹性基础的弯曲粘弹性Timoshenko纳米梁自由阻尼振动特性的精确理论框架。将积分非局部应变梯度理论（INSGT）与Kelvin-Voigt模型相结合，考虑地基反力中的尺寸效应，建立了数学上适定的粘弹性积分非局部应变梯度理论（VINSGT）。将积分本构方程转化为包含基本本构边界条件的等效微分形式。采用广义微分正交法（GDQM）对控制方程进行离散化，得到一个复特征值问题。采用两步数值格式求解振动频率，建立阻尼系数与粘性系数之间的关系。数值算例验证了VINSGT框架，并系统地研究了尺寸对粘弹性弯曲Timoshenko纳米梁在尺寸相关基础上的阻尼振动行为的影响。该工作为先进的粘弹性纳米梁基础M/NEMS振动控制设计和优化提供了可靠的理论依据。

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引用次数: 0

Complex-mode framework for sloshing damping in cylindrical tanks with porous baffles 多孔隔板圆柱罐晃动阻尼的复杂模态框架

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2026-01-08 DOI: 10.1016/j.apm.2026.116742

Jiadong Wang, Xianqing Liu, Shiyu Zhao, Gang Liu

Liquid sloshing in partially filled cylindrical tanks can generate large hydrodynamic loads that threaten the safety of marine vessels, spacecraft, and storage tanks. This work introduces a complex-mode framework for liquid sloshing in cylindrical tanks equipped with annular porous baffles, based on linear potential-flow theory with a porous-jump condition. The governing equations are cast as a non-self-adjoint quadratic eigenvalue problem and solved via state-space linearization. Natural frequencies and damping ratios then follow directly from the complex eigenvalues, providing a physically based description of energy dissipation. An orthogonality relation for the complex sloshing modes is established, enabling modal decoupling of the dynamic response equations. Parametric analyses show that the sloshing characteristics are strongly influenced by the porous baffle elevation, inner radius, and porous-effect parameter. Raising the elevation or decreasing the inner radius lowers the fundamental sloshing frequency while increasing the damping ratio. For each elevation and inner radius, an optimal porous-effect parameter exists that maximizes the damping ratio of the fundamental mode. Frequency response analyses confirm that a properly tuned porous-effect parameter suppresses near-resonant sloshing responses effectively. These results provide a robust basis for sloshing mitigation in practical engineering applications.

液体在部分充满的圆柱形储罐中晃动会产生巨大的水动力载荷，威胁到船舶、航天器和储罐的安全。本文基于具有多孔跃变条件的线性势流理论，提出了一种复杂模态框架，用于研究装有环形多孔挡板的圆柱槽内液体晃动。将控制方程转化为一个非自伴随的二次特征值问题，并通过状态空间线性化进行求解。然后，固有频率和阻尼比直接遵循复特征值，提供基于物理的能量耗散描述。建立了复杂晃动模态的正交关系，实现了动力响应方程的模态解耦。参数分析表明，多孔挡板高度、内部半径和多孔效应参数对晃动特性有较大影响。提高俯仰或减小内半径降低了基频晃动频率，同时增加了阻尼比。对于每个高程和内半径，存在一个使基模态阻尼比最大化的最优多孔效应参数。频率响应分析证实，适当调整多孔效应参数可有效抑制近共振晃动响应。这些结果为在实际工程应用中减少晃动提供了坚实的基础。

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引用次数: 0

Evolutionary dynamics of adaptive strategy update rules in social dilemmas 社会困境下自适应策略更新规则的进化动力学

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2025-12-26 DOI: 10.1016/j.apm.2025.116724

Lichen Wang , Shijia Hua , Yuyuan Liu , Siyu Liu , Linjie Liu

In this work, we introduce a feedback-evolving game model. This model integrates two fundamental update rules: the imitation rule, which is driven by payoff comparison, and the aspiration rule, which is contingent upon the fulfillment of an individual’s aspirations. Furthermore, we incorporate a dynamic adjustment mechanism for the imitation probability influenced by payoff feedback. Theoretical analysis and numerical simulations demonstrate that in the trivial game, high aspirations undermine full cooperation. In contrast, in the prisoner’s dilemma, the aspiration mechanism curtails full defection and fosters the coexistence of cooperation and defection. Individuals tend to opt for the imitation mechanism when their aspirations are low and favor the aspiration mechanism when their aspirations are high. Such a dynamic feedback mechanism may also lead the system to exhibit a bistable outcome. This model provides a theoretical framework for understanding voluntary vaccination decisions, where individuals switch between imitating peers’ choices and adhering to their own risk perceptions.

在这项工作中，我们引入了一个反馈进化的博弈模型。这个模型整合了两个基本的更新规则：模仿规则（由收益比较驱动）和愿望规则（取决于个人愿望的实现）。此外，我们还引入了一个受收益反馈影响的模仿概率动态调节机制。理论分析和数值模拟表明，在琐碎博弈中，过高的期望破坏了充分的合作。而在囚徒困境中，愿望机制限制了完全叛逃，促进了合作与叛逃的共存。个体在愿望低时倾向于选择模仿机制，在愿望高时倾向于选择愿望机制。这种动态反馈机制也可能导致系统呈现双稳态结果。该模型为理解自愿接种疫苗的决定提供了理论框架，在这种情况下，个体在模仿同伴的选择和坚持自己的风险认知之间切换。

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引用次数: 0

Modelling and analysis of laser flash experiments using the Cattaneo heat equation 用Cattaneo热方程对激光闪光实验进行建模和分析

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-07-01 Epub Date: 2025-12-27 DOI: 10.1016/j.apm.2025.116727

Elliot J. Carr

Thermal diffusivity of solid materials is commonly measured using laser flash analysis. This technique involves applying a heat pulse to the front surface of a small sample of the material and calculating the thermal diffusivity from the resulting increase in temperature on the back surface. Current formulas for the thermal diffusivity are based on the assumption that heat is transported within the sample according to the standard heat equation. While this assumption is valid in most practical cases, it admits the non-physical property of infinite propagation speed, that is, the heat pulse applied at the front surface is instantaneously perceived at the back surface. This paper carries out a mathematical analysis to determine the effect of replacing the standard heat equation in laser flash analysis by the Cattaneo heat equation, which exhibits finite propagation speed through the inclusion of a relaxation time in the Fourier law. The main results of the paper include (i) analytical insights into the spatiotemporal behaviour of temperature within the sample and (ii) analytical formulas for determining the thermal diffusivity and relaxation time of the sample. Numerical experiments exploring and verifying the analytical results are presented with supporting MATLAB code made publicly available.

固体材料的热扩散系数通常是用激光闪光分析来测量的。该技术包括将热脉冲应用于材料的小样本的前表面，并从后表面产生的温度升高计算热扩散率。目前的热扩散系数公式是基于热在样品内部根据标准热方程进行传递的假设。虽然这个假设在大多数实际情况下是有效的，但它承认无限传播速度的非物理性质，即施加在前表面的热脉冲在后表面立即被感知到。本文对用Cattaneo热方程代替激光闪光分析中的标准热方程的效果进行了数学分析，该热方程通过在傅里叶定律中包含一个松弛时间而表现出有限的传播速度。本文的主要结果包括(i)对样品内温度时空行为的分析见解和（ii）确定样品的热扩散率和弛豫时间的分析公式。给出了探索和验证分析结果的数值实验，并提供了公开的MATLAB支持代码。

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引用次数: 0

Can conditional prosocial rewarding outperform unconditional prosocial rewarding in promoting cooperation within structured populations? 有条件的亲社会奖励在促进结构性群体内的合作方面是否优于无条件的亲社会奖励？

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-06-01 Epub Date: 2025-12-12 DOI: 10.1016/j.apm.2025.116664

Zehua Si , Zhixue He , Sho Kawano , Jun Tanimoto

Rewards are powerful mechanisms for sustaining cooperation, yet previous models consider unconditional prosocial rewarding, where cooperators indiscriminately reward other cooperators at a fixed cost. This simplification facilitates analysis but neglects the adaptive and context-dependent nature of real behavior. To capture such adaptability, we extend the spatial prisoner’s dilemma by proposing a conditional prosocial rewarding mechanism, where individuals provide rewards only when their cooperative partners face stronger defection pressure, with reward intensity increasing as local disparities grow. Our Monte Carlo simulations reveal that the reward-to-cost ratio defines a critical threshold for the effectiveness of the rewarding mechanism. Conditional rewarding can achieves higher stable cooperation than unconditional rewarding under both weak and strong dilemma conditions, within specific reward parameter ranges. Spatiotemporal analysis further shows that conditional rewarding can invade defectors where unconditional rewarding fails. These findings highlight the adaptive nature of conditional incentives and provide theoretical guidance for designing more effective and resource-efficient strategies to promote cooperation in structured populations.

奖励是维持合作的强大机制，但之前的模型考虑的是无条件的亲社会奖励，即合作者以固定成本不加选择地奖励其他合作者。这种简化简化了分析，但忽略了实际行为的适应性和上下文依赖性。为了捕捉这种适应性，我们通过提出一种有条件的亲社会奖励机制来扩展空间囚徒困境，即个体只有在其合作伙伴面临更大的背叛压力时才会提供奖励，奖励强度随着地方差异的增大而增加。我们的蒙特卡罗模拟表明，回报成本比定义了奖励机制有效性的关键阈值。在一定的奖励参数范围内，在弱困境和强困境条件下，条件奖励都比无条件奖励实现更高的稳定合作。时空分析进一步表明，在无条件奖励失败的情况下，条件奖励可以入侵叛逃者。这些发现突出了条件激励的适应性，并为设计更有效和资源效率更高的战略来促进结构性群体的合作提供了理论指导。

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引用次数: 0

Anti-crosswind lateral landing guidance for civil aircraft using adaptive particle swarm optimization-based active disturbance rejection control 基于自适应粒子群自抗扰控制的民用飞机抗侧风侧向着陆制导

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2026-06-01 Epub Date: 2025-12-05 DOI: 10.1016/j.apm.2025.116667

Shaobo Zhai, Guangwen Li, Junmin Cheng, Mingshan Hou

Safe automatic landing of civil aircraft under strong crosswind conditions remains a significant challenge, as lateral deviations can compromise runway alignment and lead to critical safety incidents. To address this, this article develops a novel anti-crosswind lateral landing guidance law based on improved active disturbance rejection control method. Specifically, a lateral landing guidance command generation method considering crosswind interference is presented, in which the lateral acceleration and the ground speed are utilized. Subsequently, a continuously differentiable function with saturation constraints is introduced to enhance the disturbance rejection capability of classical active disturbance rejection control method, and then the robust roll attitude controller is designed. Moreover, an adaptive particle swarm optimization algorithm combining the Sobol sequence-based population initialization strategy, the exponential attenuation-based adaptive inertia weight strategy, and the survival of the fittest-based dynamic population strategy is presented to optimize the controller parameters for optimal performance, overcoming the reliance on manual tuning. Extensive simulation results illustrate that the proposed algorithm can achieve high-precision and robust landing guidance, enabling stable landings even under severe crosswinds of up to 20m/s.

民用飞机在强侧风条件下的安全自动降落仍然是一个重大挑战，因为侧向偏差可能会损害跑道的直线并导致严重的安全事故。针对这一问题，本文提出了一种基于改进自抗扰控制方法的抗侧风横向着陆制导律。具体地说，提出了一种考虑侧风干扰的侧向着陆制导命令生成方法，该方法考虑了侧向加速度和地面速度。随后，引入带饱和约束的连续可微函数增强经典自抗扰控制方法的抗扰能力，并设计了鲁棒横摇姿态控制器。此外，结合基于Sobol序列的种群初始化策略、基于指数衰减的自适应惯性权重策略和基于适者生存的动态种群策略，提出了一种自适应粒子群优化算法，以优化控制器参数以获得最优性能，克服了对人工调优的依赖。大量的仿真结果表明，该算法可以实现高精度、鲁棒的着陆制导，即使在高达20m/s的强侧风条件下也能实现稳定着陆。

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引用次数: 0