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maximum singular value
相关语句
  最大奇异值
     It is shown that the design goal can be achieved if the closed loop matrix has expected eigenstructure and its maximum singular value satisfies a given inequality.
     文中表明,只要使系统的闭环矩阵具有期望的特征结构且其最大奇异值满足一定的约束条件就可达到设计目的。
短句来源
     The simulation results for a simple-simple beam with two sensors and two actuators show that the acceleration response of vibration system can be reduced effectively in assigned frequency band,the maximum singular value of the vibration system decreases evidently.
     以简支钢梁为对象,完成了两输入两输出结构振动鲁棒H∞控制器设计,频域和时域的仿真计算结果表明,通过对性能加权函数和鲁棒加权函数的选取,系统闭环后最大奇异值显著下降,系统能在指定频带上取得良好的减振效果.
短句来源
  相似匹配句对
     is maximum.
     的影响极大。
短句来源
     var. maximum Y.
     var. maximum Y.
短句来源
     of the singular points(?)
     规范势的奇异点出现在半子的位置和无穷远点。
短句来源
     Signal Feature Extraction and Identification Based on Module Maximum Matrix Singular Value Decomposition
     基于模极大值矩阵奇异值分解的信号特征提取与分类识别
短句来源
     ON THE SINGULAR BEAUTIFUL OF MATHEMATICS
     论数学奇异美
短句来源
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  maximum singular value
The solution to this particular SDP gives an upper bound for the maximum singular value of a multidimensional rational matrix function, or linear fractional transformation, over a box of n real parameters.
      
In this article we present a new theorem that reduces the stability problem of teleoperators from a structured singular value problem to a maximum singular value problem.
      
We can see that the maximum singular value grows with the iteration number and it tends towards 1.
      
We then iterate until the maximum singular value is reduced below the threshold, usually in a very small number of iterations.
      
We truncate all singular values below 5% of the maximum singular value to reduce the importance of poorly constrained portions of the model space.
      
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It is quite common that many performance criteria are naturally expressed in terms of the steady state covariance.Dynamic covariance controllers for discrete time systems have much freedom.In this paper,the design freedom is exploited to achieve deadbeat property such that a specified covariance can be assigned to the closed loop system in finite beats.It is shown that the design goal can be achieved if the closed loop matrix has expected eigenstructure and its maximum singular value satisfies a given...

It is quite common that many performance criteria are naturally expressed in terms of the steady state covariance.Dynamic covariance controllers for discrete time systems have much freedom.In this paper,the design freedom is exploited to achieve deadbeat property such that a specified covariance can be assigned to the closed loop system in finite beats.It is shown that the design goal can be achieved if the closed loop matrix has expected eigenstructure and its maximum singular value satisfies a given inequality.Sufficient conditions for the existence of the desired eigenstructure are derived.The analytical expression of the set of expected controllers is also presented.

大量的随机控制系统的性能指标可直接刻划为系统稳态状态协方差的形式。在离散系统的动态协方差控制器设计过程中存在着相当的自由度,该文利用这些自由度使系统达到期望的有限拍特性,即设计动态控制器,使闭环系统的状态协方差在有限拍内配置到指定值。文中表明,只要使系统的闭环矩阵具有期望的特征结构且其最大奇异值满足一定的约束条件就可达到设计目的。文中研究了使闭环矩阵具有期望的特征结构的条件,并给出了满足要求的控制器的存在条件及解析表达式。

The MIMO(multi-input multi-output) Robust feedback control model of vibration system is presented via the H_∞control theory,and the mixed sensitivity design method is used to design the Robust H_∞controller of vibration system.The augment plant for the vibration system is presented by introducing of the performance weighting function and the Robust weighting function.The feedback controller design scheme is transformed into the H_∞standard problem to solve.The simulation results for a simple-simple beam with...

The MIMO(multi-input multi-output) Robust feedback control model of vibration system is presented via the H_∞control theory,and the mixed sensitivity design method is used to design the Robust H_∞controller of vibration system.The augment plant for the vibration system is presented by introducing of the performance weighting function and the Robust weighting function.The feedback controller design scheme is transformed into the H_∞standard problem to solve.The simulation results for a simple-simple beam with two sensors and two actuators show that the acceleration response of vibration system can be reduced effectively in assigned frequency band,the maximum singular value of the vibration system decreases evidently.

应用H∞控制理论,设计多输入多输出结构振动鲁棒H∞反馈控制系统.首先建立了振动系统多输入多输出反馈控制模型,然后利用混合灵敏度设计方法,通过合理选择性能加权函数和鲁棒加权函数,将鲁棒反馈控制器设计问题转化为标准H∞控制问题求解.以简支钢梁为对象,完成了两输入两输出结构振动鲁棒H∞控制器设计,频域和时域的仿真计算结果表明,通过对性能加权函数和鲁棒加权函数的选取,系统闭环后最大奇异值显著下降,系统能在指定频带上取得良好的减振效果.

The indices for evaluating the unsymmetry of a matrix are constructed according to the norm relation between matrix and its symmetrical part or its unsymmetrical part, the relation between 1- norm and ∞ ?norm, the relation between maximum of absolute eigenvalue and maximum singular value, the relation between spectrum condition number and the ratio of maximum of absolute eigenvalue to minimum of absolute eigenvalue, the relation between the sum of participation factors based on left and right singular...

The indices for evaluating the unsymmetry of a matrix are constructed according to the norm relation between matrix and its symmetrical part or its unsymmetrical part, the relation between 1- norm and ∞ ?norm, the relation between maximum of absolute eigenvalue and maximum singular value, the relation between spectrum condition number and the ratio of maximum of absolute eigenvalue to minimum of absolute eigenvalue, the relation between the sum of participation factors based on left and right singular vectors corresponding to maximum singular value and 1. At the same time, the new indices for evaluating the singularity of unsymmetrical matrix are constructed according to the relation between minimum of absolute eigenvalue and minimum singular value, the relation between the sum of participation factors based on left and right singular vectors corresponding to minimum singular value and one. These indices are verified using load flow Jacobian matrix and its reduced ones on IEEE 30 system, and the result shows that the ranking of spectrum condition number of load flow Jacobian matrix and its reduced ones are determined by their minimum singular values. At last, the relation between unsymmetry and singularity of load flow Jacobian matrix is discussed.

依据:①矩阵与其(反)对称部分范数间的关系;②矩阵的1-范数与∞-范数之间的关系;③矩阵特征值的绝对值的最大值与其最大奇异值之间的关系;④矩阵特征值的绝对值最大值和矩阵特征值的绝对值的最小值之比与矩阵的谱条件数之间的关系;⑤对最大奇异值,对应的奇异参与因子之和与1之间的关系,构造了衡量矩阵不对称性的指标,并依据:①矩阵特征值的绝对值最小值与最小奇异值之间的关系:②对最小奇异值而言,对应的奇异参与因子之和与1之间的关系,构造了衡量矩阵奇异性的指标。应用IEEE30系统算例和潮流雅可比矩阵及其相应的降阶雅可比矩阵对上述指标进行了分析,得出了潮流雅可比矩阵及其相应的降阶矩阵的谱条件数排序由相应的矩阵最小奇异值排序决定的结论。

 
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