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Integrating of LMIs with Buckingham Π theorem for control of uncertain oscillating systems 利用白金汉 Π 定理对 LMI 进行积分,以控制不确定振荡系统
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-14 DOI: 10.1177/10775463241282388
Javad Palizvan Zand, Javad Katebi, Chunwei Zhang
This paper introduces a novel framework for robust controller synthesis in oscillating systems by synergistically combining generalized linear matrix inequalities (GLMIs) with the Buckingham Π theorem. The primary goal is to enhance the design of robust controllers for systems with uncertain parameters through the exploitation of dimensionless groups derived from the Buckingham Π theorem. By establishing a dimensionless state-space representation, the proposed approach demonstrates adaptability to a broad spectrum of similar systems. The LMI-based formulation facilitates the systematic design of controllers capable of effectively mitigating the impact of parametric uncertainties. Simulation results for an uncertain inverted pendulum and a vehicle active suspension system validate the superior performance of the proposed method compared to conventional control techniques, such as MPC, LQG, SMC, PID, and LQR. For the uncertain inverted pendulum system, the proposed robust control scheme achieves a cart position stabilization in 5.35 s and pendulum stabilization in 6.3 s, which is faster than standard control algorithms. In the context of the vehicle active suspension system, the performance indices for sprung mass acceleration, suspension deflection, and tire deflection are 0.19, 0.47, and 0.07, respectively. These values indicate significant reductions when compared to conventional passive suspension systems and standard robust control methodologies.
本文通过将广义线性矩阵不等式 (GLMI) 与白金汉 Π 定理协同结合,为振荡系统中的鲁棒控制器合成引入了一个新框架。其主要目标是通过利用从白金汉 Π 定理衍生出的无量纲组,为具有不确定参数的系统加强鲁棒控制器的设计。通过建立无量纲状态空间表示法,所提出的方法展示了对各种类似系统的适应性。基于 LMI 的表述有助于系统地设计控制器,从而有效减轻参数不确定性的影响。对不确定倒立摆和车辆主动悬架系统的仿真结果验证了与传统控制技术(如 MPC、LQG、SMC、PID 和 LQR)相比,所提出的方法具有更优越的性能。对于不确定的倒立摆系统,所提出的鲁棒控制方案在 5.35 秒内实现了小车位置稳定,在 6.3 秒内实现了摆锤稳定,比标准控制算法更快。在车辆主动悬架系统方面,弹簧质量加速度、悬架挠度和轮胎挠度的性能指数分别为 0.19、0.47 和 0.07。这些数值表明,与传统的被动悬架系统和标准鲁棒控制方法相比,性能大幅降低。
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引用次数: 0
Enhancing bearing and gear fault diagnosis: A VMD-PSO approach with multisensory signal integration 加强轴承和齿轮故障诊断:多感官信号集成的 VMD-PSO 方法
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-14 DOI: 10.1177/10775463241273842
Abdel Wahhab Lourari, Bilal El Yousfi, Tarak Benkedjouh, Ahmed Bouzar Essaidi, Abdenour Soualhi
In the domain of signal analysis for machinery health monitoring and fault diagnosis, this paper introduces a comprehensive methodology that integrates Variational Mode Decomposition (VMD), Particle Swarm Optimization (PSO), and advanced machine learning techniques. The primary objective of this framework is to establish a robust and precise approach for signal decomposition, determining the optimal number of Intrinsic Mode Functions (IMF), and calculating key indicators, including L2/L1, Hoyer Index, and Geometric Mean Improved Gini Index (GMIGI). The methodology initiates with VMD-based signal decomposition, followed by the utilization of PSO to identify the most appropriate number of IMFs for accurate feature extraction. Subsequently, each IMF’s performance is assessed by evaluating its correlation with the input signal, and the IMF with the highest Pearson coefficient is selected as the primary feature for diagnostic purposes. To ensure the robustness and comparability of these indicators, a standardization process is implemented. The standardized indicators are then employed for machinery fault diagnosis, utilizing a diverse set of machine learning algorithms such as support vector machines and discriminant analysis. The proposed methodology undergoes rigorous validation using vibration, acoustic, and current signals, providing a versatile solution for the condition monitoring and diagnosis of mechanical systems. For model validation, we utilize four datasets comprising two vibrational, one acoustic, and one electrical dataset. The experimental results affirm the effectiveness of our approach in accurately detecting and diagnosing faults, thereby contributing to the reliability and maintenance efficiency of industrial machinery.
在用于机械健康监测和故障诊断的信号分析领域,本文介绍了一种集成了变异模式分解(VMD)、粒子群优化(PSO)和先进机器学习技术的综合方法。该框架的主要目标是建立一种稳健而精确的信号分解方法,确定本征模式函数(IMF)的最佳数量,并计算包括 L2/L1、霍耶指数和几何平均改进基尼指数(GMIGI)在内的关键指标。该方法首先进行基于 VMD 的信号分解,然后利用 PSO 确定最合适的 IMF 数量,以实现准确的特征提取。随后,通过评估每个 IMF 与输入信号的相关性来评估其性能,并选择皮尔逊系数最高的 IMF 作为诊断目的的主要特征。为确保这些指标的稳健性和可比性,还实施了标准化流程。然后,利用支持向量机和判别分析等各种机器学习算法,将标准化指标用于机器故障诊断。所提出的方法利用振动、声学和电流信号进行了严格的验证,为机械系统的状态监测和诊断提供了多功能解决方案。为了验证模型,我们使用了四个数据集,包括两个振动数据集、一个声学数据集和一个电气数据集。实验结果证实了我们的方法在准确检测和诊断故障方面的有效性,从而有助于提高工业机械的可靠性和维护效率。
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引用次数: 0
Vertical vibration analysis of rolling interface based on dynamic rolling force with variable friction characteristics 基于摩擦特性可变的动态滚动力的滚动界面垂直振动分析
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-14 DOI: 10.1177/10775463241280330
Qiaoyi Wang, Zhen Zhang, Hanbin Zhu
This study investigates the impact of variable friction characteristics at the rolling interface on the vertical vibration of plate and strip rolling mills. Based on the optimized Karman equilibrium theory, a dynamic rolling force model considering the front and back tension, elastic stretching, and rolling speed was established. The amplitude-frequency response equation of rolling mill system is solved by multi-scale method, and the influence of main parameters on vertical vibration of rolling mill system is analyzed. The results show that the increase of the first stiffness coefficient of dynamic rolling force leads to the decrease of the principal common amplitude of the system. On the contrary, when the third stiffness coefficient increases, the system exhibits a jump phenomenon. When the third stiffness coefficient of dynamic rolling force is reduced within a certain range, a stable and unique solution is obtained without jumping phenomenon. Moreover, the smaller the damping coefficient of the upper and lower roller system is, the larger the vibration amplitude is and the jump phenomenon occurs. Decreasing the external disturbance force can effectively reduce the system’s vertical vibration amplitude and suppress the resonance. In addition, with the change of external disturbance force, the roll system of the rolling mill shows a variety of complex motion states, such as periodic motion, double-periodic motion, and chaotic motion. The research results provide an effective theoretical reference for the suppression of vertical vibration of rolling mill.
本研究探讨了轧制界面摩擦特性的变化对板带轧机垂直振动的影响。基于优化的卡曼平衡理论,建立了考虑前后张力、弹性拉伸和轧制速度的动态轧制力模型。采用多尺度法求解了轧机系统的幅频响应方程,分析了主要参数对轧机系统垂直振动的影响。结果表明,动轧制力第一刚度系数的增加会导致系统主共振幅度的减小。相反,当第三刚度系数增大时,系统出现跳跃现象。当动态滚动力的第三刚度系数在一定范围内减小时,就会得到一个稳定的唯一解,而不会出现跳跃现象。此外,上下辊筒系统的阻尼系数越小,振动幅度越大,就会出现跳跃现象。减小外部干扰力可以有效减小系统的垂直振幅,抑制共振。此外,随着外部干扰力的变化,轧机辊子系统呈现出多种复杂的运动状态,如周期运动、双周期运动和混沌运动等。研究成果为抑制轧机垂直振动提供了有效的理论参考。
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引用次数: 0
Adaptive fast iterative filter Holo-spectrum analysis and its applications to fault diagnosis of rolling bearing 自适应快速迭代滤波器全谱分析及其在滚动轴承故障诊断中的应用
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-14 DOI: 10.1177/10775463241281763
Guoliang Peng, Jinde Zheng, Baohong Tong, Jinyu Tong
As a signal demodulation analysis technique, Holo–Hilbert spectral analysis (HHSA) excels in capturing the intricate cross-scale coupling dynamics present in nonlinear and non-stationary vibration signals. Nonetheless, HHSA suffers from a lack of rigorous mathematical foundation, is subject to modal mixing constraints, and exhibits limited noise robustness. To address the aforementioned issues, this study presents an innovative nonlinear and non-stationary signal demodulation technique, referred to as adaptive fast iterative filter Holo-spectrum analysis (AFIFHSA). Also, an adaptive fast iterative filtering (AFIF) algorithm incorporated within AFIFHSA is designed to dynamically achieve a nonlinear and non-stationary signal decomposing. From that, several approximate narrowband signals, possessing physical significance at an instantaneous frequency, and a trend term can be obtained. Furthermore, the marginal spectrum (MS) obtained by AFIFHSA can be utilized to represent the effectiveness of fault characteristic identification. Lastly, the simulation and measured data are utilized to showcase AFIFHSA’s exceptional capabilities in recognizing high-resolution and eximious modulation relationships. The analysis outcomes additionally illustrate that AFIFHSA, as proposed, showcases superior performance in fault identification and robustness with comparison to other conventional approaches.
作为一种信号解调分析技术,霍洛-希尔伯特频谱分析(Holo-Hilbert spectral analysis,HHSA)在捕捉非线性和非稳态振动信号中错综复杂的跨尺度耦合动态方面表现出色。然而,HHSA 缺乏严格的数学基础,受到模态混合的限制,而且噪声鲁棒性有限。为了解决上述问题,本研究提出了一种创新的非线性和非稳态信号解调技术,即自适应快速迭代滤波器全谱分析(AFIFHSA)。此外,在 AFIFHSA 中还设计了一种自适应快速迭代滤波(AFIF)算法,以动态实现非线性和非稳态信号解调。由此可以得到几个近似的窄带信号,这些信号在瞬时频率上具有物理意义,还可以得到一个趋势项。此外,还可以利用 AFIFHSA 获得的边际谱(MS)来表示故障特征识别的有效性。最后,利用模拟和测量数据展示了 AFIFHSA 在识别高分辨率和出色的调制关系方面的卓越能力。分析结果还表明,与其他传统方法相比,所提出的 AFIFHSA 在故障识别和鲁棒性方面表现出了卓越的性能。
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引用次数: 0
An efficient physics-dimension-based reduction method for computing frequency response functions of viscoelastically damped systems 计算粘弹性阻尼系统频率响应函数的高效物理维度还原法
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-14 DOI: 10.1177/10775463241283180
Minsheng Cao, Yu Fu, Shuqi Zhu, Ling Ling, Li Li
The frequency response functions (FRFs) are of critical interest to dynamic problems, however, they suffer from computational challenges for viscoelastically damped systems. In this paper, a physics-space-based reduction method is proposed for predicting the FRFs of large-scale viscoelastically damped systems involving the standard linear solid model. A physics-dimension subspace is constructed based on original system matrices and viscoelastic parameters, which can be easily generated by using a recursive manner. A projection basis generation algorithm is then developed to generate a standard orthonormal basis within the physics-dimension subspace. With the help of the standard orthonormal basis and the moment-matching-based reduction method, a physics-space-based reduction method is proposed for efficiently predicting the FRFs of large-scale viscoelastically damped systems. Unlike the widely used state-space reduction method, the reduced system of the proposed method can preserve system’s physical structure so that the physical meaning can be captured. Using both theoretical and numerical analyses, the proposed physics-space-based method is more accurate and efficient than the state-space-based reduction method.
频率响应函数(FRFs)是动态问题的关键所在,然而,对于粘弹性阻尼系统来说,它却面临着计算上的挑战。本文提出了一种基于物理空间的还原方法,用于预测涉及标准线性固体模型的大规模粘弹性阻尼系统的频率响应函数。基于原始系统矩阵和粘弹性参数构建了一个物理维度子空间,该子空间可通过递归方式轻松生成。然后开发一种投影基生成算法,在物理维子空间内生成标准正交基。借助标准正交基和基于矩匹配的还原方法,提出了一种基于物理空间的还原方法,用于有效预测大规模粘弹性阻尼系统的 FRF。与广泛使用的状态空间还原法不同,该方法所还原的系统可以保留系统的物理结构,从而捕捉到物理意义。通过理论和数值分析,所提出的基于物理空间的方法比基于状态空间的还原方法更精确、更高效。
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引用次数: 0
Adaptive robust control of the PMSM servo system with servo and performance constraints 具有伺服和性能约束的 PMSM 伺服系统的自适应鲁棒控制
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-14 DOI: 10.1177/10775463241278003
Xiaoli Liu, Shengchao Zhen, Faliang Wang, Ming Li
This paper presents a prescribed performance control scheme for an uncertain permanent magnet synchronous motor (PMSM) servo system. First, the position-tracking control goals are reformulated as servo constraints, while the prescribed tracking error performances are defined as performance constraints. Second, a modified prescribed performance function (PPF) is proposed to ensure the prescribed tracking performance, while the knowledge of the initial tracking error is unnecessary. Then, the new servo constraints are formulated by introducing the state transformation technique to incorporate the tracking error performance constraints into the servo constraints. Third, an adaptive robust constraint-following control (ARCFC) is presented to render the new servo constraints to be satisfied for the transformed system. Fourth, it is proved that the proposed ARCFC can ensure the position tracking error converges and remains in a preset bounded range. Finally, the simulation and experimental verification of the developed ARCFC are conducted.
本文提出了一种针对不确定永磁同步电机(PMSM)伺服系统的规定性能控制方案。首先,位置跟踪控制目标被重新表述为伺服约束,而规定的跟踪误差性能被定义为性能约束。其次,提出了修改后的规定性能函数(PPF),以确保规定的跟踪性能,而无需了解初始跟踪误差。然后,通过引入状态变换技术,将跟踪误差性能约束纳入伺服约束,从而制定出新的伺服约束。第三,提出了一种自适应鲁棒约束跟踪控制(ARCFC),使变换后的系统满足新的伺服约束。第四,证明所提出的 ARCFC 可以确保位置跟踪误差收敛并保持在预设的约束范围内。最后,对所开发的 ARCFC 进行了仿真和实验验证。
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引用次数: 0
A new adaptive fuzzy logic control for nonlinear car active suspension systems based on the time-delay 基于时延的非线性汽车主动悬架系统自适应模糊逻辑控制新方法
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-12 DOI: 10.1177/10775463241281395
Ghazally IY Mustafa, Haoping Wang
This paper proposes a new adaptive fuzzy logic control for nonlinear car active suspension systems based on the time delay (TDAFLC). The proposed method comprises three terms: First, time-delay estimation (TDE) is used as an ultra-local model to estimate the active suspension system nonlinearities and unknown dynamics. Second, a desired dynamics injection part. Third, the adaptive fuzzy logic control is used as an extra input to reduce the effect of the TDE error. The adaptive fuzzy logic control is designed on a new sliding surface to achieve the desired error dynamics. The benefits of the TDAFLC controller are its simple structure and ease of regulation. In addition, the theoretical investigation of system stability, convergence speed, and control accuracy are demonstrated. Finally, using a co-simulation platform, the validation process compares TDAFLC to TDC, PID, and the conventional passive system for a two-degree-of-freedom quarter car active suspension system under different road excitations.
本文提出了一种基于时间延迟(TDAFLC)的新型非线性汽车主动悬架系统自适应模糊逻辑控制方法。所提出的方法包括三个方面:首先,使用时延估计(TDE)作为超局部模型来估计主动悬架系统的非线性和未知动态。第二,期望动态注入部分。第三,将自适应模糊逻辑控制作为额外输入,以减少 TDE 误差的影响。自适应模糊逻辑控制设计在一个新的滑动面上,以实现所需的误差动态。TDAFLC 控制器的优点是结构简单,易于调节。此外,还对系统稳定性、收敛速度和控制精度进行了理论研究。最后,利用协同仿真平台,在不同路面激励下,将 TDAFLC 与 TDC、PID 和传统的被动系统进行了比较,用于二自由度四分之一车主动悬架系统。
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引用次数: 0
Passive structural control for wind turbine towers using a novel dual-track nonlinear energy sink 利用新型双轨非线性能量汇实现风力涡轮机塔架的被动结构控制
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-12 DOI: 10.1177/10775463241282740
Dong Li, Shijing Fang, Chuang Sun, Zhengyu Zhang, Zhichao Lai
With larger rotors and taller towers developed to capture more wind energy, the tower structures become slenderer and more sensitive to wind loads, resulting in vortex-induced vibration (VIV) in both downwind and crosswind directions. The vibration control is faced with the challenges of broadband and multi-directional dynamic responses. Thus, this paper proposed a new type of dual-track nonlinear energy sink (NES) aimed to achieve the multi-mode and multi-direction vibration control of wind turbine towers. The two-degree-freedom coupled governing equations of the wind turbine tower with the dual-track NES are established and solved numerically, with full considerations of aerodynamics and fluid–solid interactions. Then, an optimized design of the dual-track NES is performed theoretically. To evaluate the vibration mitigation performance of the dual-track NES, a series of wind tunnel tests are carried out and analyzed further, in terms of the acceleration time-history response, statistical characteristics, frequency and damping ratio. It is demonstrated that the proposed NES functioning as an energy-dissipating device is efficient and robust in mitigating the dynamic response of wind turbine towers, even enabled to address the vortex resonance. It is remarkable that the dual-track NES can synchronously realize the vibration control in multi-mode and multi-direction by increasing the damping ratio of primary structure.
随着为获取更多风能而开发的更大转子和更高塔架的出现,塔架结构变得更加纤细,对风载荷也更加敏感,从而导致顺风和横风方向的涡流诱导振动(VIV)。振动控制面临着宽带和多方向动态响应的挑战。因此,本文提出了一种新型双轨非线性能量汇(NES),旨在实现风机塔架的多模式和多方向振动控制。本文在充分考虑空气动力学和流固耦合作用的基础上,建立并数值求解了带有双轨非线性能量沉降器的风力发电机塔架的二自由度耦合控制方程。然后,从理论上对双轨 NES 进行了优化设计。为了评估双轨 NES 的减振性能,进行了一系列风洞试验,并从加速度时序响应、统计特性、频率和阻尼比等方面进行了进一步分析。试验结果表明,所提出的 NES 作为一种能量消耗装置,能够高效、稳健地减缓风力涡轮机塔架的动态响应,甚至能够解决涡流共振问题。值得注意的是,双轨 NES 可通过提高主结构的阻尼比,同步实现多模式、多方向的振动控制。
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引用次数: 0
Vibro-acoustic characteristics of rectangular plates with any number of point masses and translational springs 带有任意数量点质量和平移弹簧的矩形板的振动声学特性
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-12 DOI: 10.1177/10775463241281766
Weilong Liu, Yijie He, Ziyuan Zhu, Feng Chen, Gang Wang
In this paper, the vibration and the sound radiation characteristics of a rectangular plate loaded with concentrated masses and translational springs are analyzed using the Rayleigh-Ritz solution, in which the modified Fourier series is used to describe the vibration displacements of the structure. Arbitrary boundary conditions are simulated by artificial virtual spring technique. The vibro-acoustic field coupling model is developed and the accuracy of the present method is validated by several numerical examples. The effect of different parameters on the vibration response and sound radiation power of the coupled model is discussed, including plate parameters, point mass and translational spring size, position and number, as well as the location of that point where the excitation force acts. The method and its analysis results can be used for vibro-acoustic coupling analysis and control of rectangular plates.
本文采用雷利-里兹(Rayleigh-Ritz)解法分析了装有集中质量块和平移弹簧的矩形板的振动和声辐射特性,其中使用了修正的傅里叶级数来描述结构的振动位移。采用人工虚拟弹簧技术模拟任意边界条件。建立了振动声场耦合模型,并通过几个数值实例验证了本方法的准确性。讨论了不同参数对耦合模型的振动响应和声辐射功率的影响,包括板参数、点质量和平移弹簧的尺寸、位置和数量,以及激振力作用点的位置。该方法及其分析结果可用于矩形板的振声耦合分析和控制。
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引用次数: 0
An improved Takagi–Sugeon–Kang-based FxLMS algorithm and its active noise control in electric bus driving position 基于 Takagi-Sugeon-Kang 的改进型 FxLMS 算法及其在电动公交车驾驶位置的主动噪声控制
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-10 DOI: 10.1177/10775463241276970
Enlai Zhang, Zhilong Peng, Yi Chen, Qian Chen, Jianming Zhuo
This paper proposed an improved filtered-x least mean square (FxLMS) algorithm based on the fuzzy control rule of Takagi–Sugeon–Kang (TSK) to solve the drawback of slow convergence for standard FxLMS algorithm. The TSK-FxLMS is a control framework with two inputs and three outputs constructed by the error signal and its integral as input variables. To validate its effectiveness and applicability, in-vehicle active noise control (ANC) modelling and adaptive noise reduction at the driver’s position of an electric bus are thoroughly investigated. Firstly, the four noise signals for the different working conditions at 50 km/h, acceleration, coasting and braking are collected, and their spectral analyses are performed. Secondly, the effects of step size and fuzzy control parameters of ANC model on weight convergence and noise reduction effect are analysed and determined. Finally, the results of calculating and comparing the residual signals’ waveforms, frequency spectra, sound pressure levels and tracking performance indicate that the proposed TSK-FxLMS algorithm outperforms the standard FxLMS algorithm with faster convergence and better noise reduction effect.
本文提出了一种基于高木-苏根-康(Takagi-Sugeon-Kang,TSK)模糊控制规则的改进过滤x最小均方(FxLMS)算法,以解决标准FxLMS算法收敛速度慢的缺点。TSK-FxLMS 是一个由误差信号及其积分作为输入变量构建的两输入三输出的控制框架。为了验证其有效性和适用性,对电动公交车驾驶员位置的车内主动噪声控制(ANC)建模和自适应降噪进行了深入研究。首先,收集了 50 公里/小时、加速、滑行和制动等不同工况下的四种噪声信号,并对其进行了频谱分析。其次,分析并确定 ANC 模型的步长和模糊控制参数对权重收敛和降噪效果的影响。最后,计算和比较了残余信号的波形、频谱、声压级和跟踪性能,结果表明所提出的 TSK-FxLMS 算法优于标准 FxLMS 算法,收敛速度更快,降噪效果更好。
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引用次数: 0
期刊
Journal of Vibration and Control
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