Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty

The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality （LMI） via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.

Decentralized H-infinity state feedback control for discrete-time singular large-scale systems

The decentralized H-infinity control problem for discrete-time singular large-scale systems is considered. Based on the bounded real lemma of discrete-time singular systems, a sufficient condition for the existence of decentralized H-infinity controller for discrete-time singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities by linear matrix inequality (LMI) approach, and the feasible solutions to the system of LMIs provide a parameterized representation of a set of decentralized H-infinity controller. The given example shows the application of the method.

Comparison of Pile-Soil-Structure Interaction Modeling Techniques for A 10-MW Large-Scale Monopile Wind Turbine Model Under Wind and Wave Conditions

Considering the large diameter effect of piles,the influence of different pile-soil analysis methods on the design of monopile foundations for offshore wind turbines has become an urgent problem to be solved.Three different pile-soil models were used to study a large 10 MW monopile wind turbine.By modeling the three models in the SACS software,this paper analyzed the motion response of the overall structure under the conditions of wind and waves.According to the given working conditions,this paper concludes that under the condition of independent wind,the average value of the tower top x-displacement of the rigid connection method is the smalle st,and the standard deviation is the smallest under the condition of independent wave.The results obtained by the p-y curve method are the most conservative.

Postbuckling of Imperfect Stiffened Cylindrical Shells Under Combined External Liquid Pressure and Axial Compression

posthuckling analysis is presented for the stilTened cylindrical shell of finite length subjected to combined loading of external liquid pressure and axial compression. The formulations are based on a boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, nonlinear large deflections in the postbuckling range and initial geometrical imperfections of the shell. The 'smeared stifl'cner' approach is adopted for the stiffencrs. In the analysis a singular perturbation technique is used (o determine the interactive buckling loads and the postbuckling paths. Numerical examples cover the performance of perfect and imperfect, stringer and ring stiffened cylindrical shells. Typical results arc presented in the dimcnsionless graphical form.

POSTBUCKLING OF IMPERFECT STIFFENED CYLINDRICAL SHELLS UNDER COMBINED EXTERNAL PRESSURE AND HEATING

A postbuckling analysis is presented for a stiffened cylindrical shell of finite length subjected to combined loading of external pressure and a uniform temperature rise. The formulations are based on a boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, nonlinear large deflections in the postbuckling range and initial geometrical imperfections of the shell. The 'smeared stiffener' approach is adopted for the stiffeners. The analysis uses a singular perturbation technique to determine the interactive buckling loads and the postbuckling equilibrium paths. Numerical examples cover the performances of perfect and imperfect, stringer and ring stiffened cylindrical shells. Typical results are presented in dimensionless graphical form.

Design of High Precision Horizontal Control Network for Large-Scale Hydropower Project

A new solution of combination network of GPS and high precise distance measurements with EDM is proposed. Meanwhile, it’s inadvisable only using GPS network without distance measurements. Three schemes: terrestrial network, GPS network and combination network are discussed for horizontal control network design of Xiangjiaba Dam in view of precision, reliability, coordinate and outlay in detail.

基于奇异谱分解和LSTM-ARIMA组合模型的生猪价格预测

针对生猪价格波动过于剧烈难以预测的问题,提出基于奇异谱分解的LSTM-ARIMA组合模型对生猪价格进行预测。以2000年1月-2021年12月的月度价格数据作为样本,利用奇异谱分析对生猪价格数据进行分解,得到趋势项和波动项,选用累计贡献率达前70%的构建趋势项,剩下的30%构造波动项。趋势项非平稳且具有长记忆性,对其建立LSTM模型;波动项平稳,对其建立ARIMA模型,最后将两部分预测结果重组作为生猪价格的预测值,构建LSTM-ARIMA组合预测模型。将预测值和生猪真实价格进行对比,结果表明:预测值与真实值之间的均方根误差RMSE为2.75,平均绝对百分比误差MAPE为10.81%,平均绝对误差MAE为2.27,方向对称性DS为81.81;此组合模型能很好地预测生猪价格走势,对我国生猪价格预测具有更高地适用性与参考。

Numerical quadrature for singular and near-singular integrals of boundary element method and its applications in large-scale acoustic problems

The numerical quadrature methods for dealing with the problems of singular and near-singular integrals caused by Burton-Miller method are proposed, by which the conventional and fast multipole BEMs （boundary element methods） for 3D acoustic problems based on constant elements are improved. To solve the problem of singular integrals, a Hadamard finite-part integral method is presented, which is a simplified combination of the methods proposed by Kirkup and Wolf. The problem of near-singular integrals is overcome by the simple method of polar transformation and the more complex method of PART （Projection and Angular ＆ Radial Transformation）. The effectiveness of these methods for solving the singular and near-singular problems is validated through comparing with the results computed by the analytical method and/or the commercial software LMS Virtual.Lab. In addition, the influence of the near-singular integral problem on the computational precisions is analyzed by computing the errors relative to the exact solution. The computational complexities of the conventional and fast multipole BEM are analyzed and compared through numerical computations. A large-scale acoustic scattering problem, whose degree of freedoms is about 340,000, is implemented successfully. The results show that, the near singularity is primarily introduced by the hyper-singular kernel, and has great influences on the precision of the solution. The precision of fast multipole BEM is the same as conventional BEM, but the computational complexities are much lower.

Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics

With the rapid development of computer technology,numerical simulation has become the third scientific research tool besides theoretical analysis and experi-mental research.As the core of numerical simulation,constructing efficient,accurate and stable numerical methods to simulate complex scientific and engineering prob-lems has become a key issue in computational mechanics.The article outlines the ap-plication of singular boundary method to the large-scale and high-frequency acoustic problems.In practical application,the key issue is to construct efficient and accurate numerical methodology to calculate the large-scale and high-frequency soundfield.This article focuses on the following two research areas.They are how to discretize partial differential equations into more appropriate linear equations,and how to solve linear equations more efficiently.The bottle neck problems encountered in the compu-tational acoustics are used as the technical routes,i.e.,efficient solution of dense linear system composed of ill-conditioned matrix and stable simulation of wave propagation at low sampling frequencies.The article reviews recent advances in emerging appli-cations of the singular boundary method for computational acoustics.This collection can provide a reference for simulating other more complex wave propagation.

基于特征组合优化的工业互联网恶意行为实时检测方法

工业互联网中节点数据具有高维、冗余和海量等特性,传统的恶意行为检测模型无法对工业互联网恶意攻击行为做出快速且准确的判断,提出基于特征组合优化的工业互联网恶意行为实时检测方法.采用改进的相关性快速过滤算法和基于奇异值分解的主成分分析算法对工业互联网恶意行为样本数据进行特征组合优化,基于对称不确定性信息度量指标和近似马尔科夫毯准则进行特征相关性计算、冗余特征识别与排除,通过参数特征维度的不同配置得到若干候选特征组合;利用决策树评估器筛选出准确率最高的候选特征组合;通过奇异值分解的主成分分析进一步进行特征降维,得到低维高信息量的最优特征组合;结合极端梯度提升算法和优化的特征组合对工业互联网恶意行为样本进行分类,基于密西西比州立大学多分类电力系统攻击样本数据对本文方法进行了验证;实验结果表明,特征组合优化检测模型训练时间可缩减57.53%,单个样本的平均检测时间为0.002 ms,可减少23.99%,基于特征组合优化的检测模型的准确率、召回率和F1值较特征优化前分别提升了1.11%、1.25%和1.01%.本文方法的突出优势表现为在提升模型检测效果的同时可明显降低模型检测时间,能更好适应工业互联网的实时性要求.

基于改进广义线性组合的稳健波束形成算法

针对传统波束形成算法在导向矢量失配和协方差矩阵估计存在误差情况下,出现波束形成性能下降的问题,提出一种基于改进广义线性组合的自适应稳健波束形成算法。该算法首先对接收信号作奇异谱分解进行降噪,然后构造与接收信号快拍数相关的对角加载系数函数,结合降噪处理后的数据构造广义对角加载协方差矩阵,最后基于空域积分和子空间投影思想,估计期望信号的实际导向矢量,并结合新生成协方差矩阵进行波束形成。仿真分析结果表明,在存在期望信号角度估计失准导致导向矢量失配,以及样本数较少造成协方差矩阵估计存在误差时,所提算法能保持较好的输出信干噪比,验证了该算法的稳健性。

Cooperative TDD reciprocity calibration with diversity combining for distributed large-scale MIMO systems

Thanks to channel reciprocity,the time-division duplexing operation is typically used for distributed large-scale multiple-input multiple-output systems.With the knowledge of uplink channel state,APs(Access Points)perform the downlink precoding to cooperatively communicate with multiple UEs(User Equipments).Unfortunately,the channel reciprocity is often jeopardized by the non-symmetric transceiver RF(Radio Frequency)circuits at both sides of the link.By excluding UEs from the calibration procedure,the TLS(Total Least Squares)method is extended to the case of partial calibration,where only the APs are involved to exchange calibration signals to compensate for RF mismatches.Nevertheless,channel fluctuations between APs significantly degrade system performance.Therefore,we propose a scheme to obtain the diversity gain,by performing a calibration with the combination of the calibration signals of different channel coherent times.Simulation results confirm the effective performance and robustness of our scheme.

奇异谱分析在故障时间序列分析中的应用

由于日益增长的飞行安全和飞机维护质量需求,飞机使用可靠性已经成为一个重要的研究领域。从某航空公司波音737飞机使用过程中现场所记录的18年的故障数据出发,应用奇异谱分析(SSA)方法,对故障时间序列进行了建模和预测,进一步以预测结果的均方根误差(RMSE)最小为优化目标对SSA模型参数进行了优选。在此基础上,提出了一种更为广泛的模型组合方法和实现算法,这种方法采用不同的时间序列模型来构造SSA分解出的趋势、周期和残差等成分。通过与三次指数平滑(Holt-Winters)、自回归移动平均(ARIMA)2种时间序列模型的实验结果对比,SSA及其参数优选和模型组合方法在故障时间序列分析中具有更好的拟合和预测精度。

基于典型相关分析的组合特征抽取及脸像鉴别

利用典型相关分析的思想,提出了一种基于特征级融合的组合特征抽取新方法.首先,抽取同一模式的两组特征矢量,给出描述两组特征矢量之间相关性的判据准则函数;然后依此准则抽取它们的典型相关特征,构成有效鉴别特征矢量用于识别.该方法巧妙地将两组特征矢量之间的相关性特征作为有效判别信息,既达到了信息融合之目的,又消除了特征之间的信息冗余,为两组特征融合用于分类识别提供了新的思路.此外,从理论上进一步剖析了所提出的方法之所以能有效地用于识别的内在本质.在Yale和ORL标准人脸数据库上的实验结果证实了所提算法的有效性和稳定性,而且识别率大大高于用单一特征进行识别的结果.

融合ARIMA和RBFNN的血糖预测

为预测糖尿病患者未来一段时间内的血糖值,提出一种融合差分自回归移动平均(ARIMA)和径向基神经网络(RBFNN)的组合预测模型。利用ARIMA对患者未来血糖值进行预测,采用RBFNN修正预测结果。针对外部因素对血糖的影响,提出一种发现和处理算法。采用医院数据对模型和算法进行验证,验证结果表明,相比ARIMA预测,提出的模型具有更高的预测精度;提出的算法能准确处理外部因素对血糖的影响,保障预测精度。

自由浮动柔性双臂空间机器人系统的动力学控制

基于假设模态法对柔性连杆的变形进行近似描述,采用拉格朗日方程分析柔性臂的动力学关系,忽略高阶弹性振动模态,根据柔性双臂和物体的动力学方程、末端约束关系以及系统的动量守恒原理,推导一种自由浮动柔性双臂空间机器人闭链系统的动力学模型。针对系统柔性状态的高频特征,采用奇异摄动法将该系统模型分离为慢变和快变两个子系统,对二者分别采用滑模变结构控制和非线性PD控制,保证刚性、柔性状态输出达到要求,由此得到的组合控制使得系统能较好地跟踪期望的轨迹,抑制弹性振动,并减小对本体运动的影响,内力、内力矩均能平稳跟踪期望值。最后进行数字仿真,验证上述方法的有效性。

分数阶Duffing振子的组合共振

研究了2个谐波激励作用下含分数阶微分项的Duffing振子的一类组合共振,利用多尺度法得到了2ω1+ω2型组合共振的一次近似解析解,分析了定常解的稳定性。应用奇异性理论研究了幅频响应分岔方程,得到了开折参数平面的转迁集和所有区间上分岔曲线的拓扑结构。最后通过数值仿真分析了系统参数对组合共振幅频响应的影响。研究表明:分数阶微分项即具有阻尼特性又具有刚度特性,选择合理的分数阶微分项参数可以有效改善系统的响应特性。

基于三角形(△)组合线圈的永磁球形电机转矩特性与通电策略分析

为了减少永磁球形电机轨迹跟踪过程中的控制电流计算量,提出一种基于三角形(△)组合线圈的通电策略。首先,通过Maxwell软件,利用叠加原理建立基于单个定子线圈的电磁转矩模型;然后,对比分析不同组合线圈自旋和倾斜运动的静态电磁转矩,确立△组合线圈的电磁转矩方程;同时,通过电流-转矩表达式,获得定子线圈的控制电流;最后,通过仿真计算和实验验证该方案的可行性。实验结果表明相对于单个线圈的独立控制,基于△组合线圈的通电策略在电机运动范围内无运动奇点,显著减少了控制电流的计算量。

基于奇异值分解的多评价结论集结方法

针对综合评价中存在的“多评价结论非一致性”问题,提出了一种基于奇异值分解的多评价结论集结方法.对多个不一致评价结论组成的数值矩阵进行奇异值分解,并通过对定义的一致度与可信度两个性能指标的均衡确定出需保留奇异值的个数,运用奇异值分解的原理求出原评价结论的近似结论矩阵,而近似结论是对原有结论的优化.该方法具有提取多评价结论共性信息、削弱极端评价结论影响及对集结过程进行柔性控制等特点.最后,用一个算例验证了方法的有效性.

修正组合近似法及其在车架刚度重分析中的应用

重分析是指在结构修改之后不需要重新求解平衡方程,仅需要根据初始计算结果对修改后的问题进行求解,并能够在保证计算精度的前提下,大幅度提高计算速度。针对重分析法在有限元计算中可能出现的奇异性问题,通过奇异值分解法(Singular value decomposition,SVD)对重分析法中的组合近似法(Combined approximation,CA)进行修正。修正后的重分析算法,能够解决刚度矩阵奇异的问题,并能够保持CA法的重分析精度。为验证算法的有效性,采用修正后的重分析方法对圆柱壳和车架刚度分析进行仿真测试。测试结果表明,修正后的重分析方法在解决奇异性问题的同时,能够保证重分析的计算效率和计算精度。由两个数值算例的结果对比可知,当刚度矩阵奇异性比较高时,常用的以矩阵的伪逆代替逆的方法不可行。由此可知,修正后的重分析算法在解决奇异性问题时具有相当的优越性。