H∞–范数,H-infinity-norm
H∞ normH∞范数
1.TheH∞ norm of closed-loop transfer function was adopted to be the optimization index,a new method for the placement optimization of MR dampers suitable for spatial reticulated structure was proposed.推导了基于阻尼器速度反馈的结构振动方程和状态控制方程,提出以控制系统闭环传递函数的H∞范数为位置寻优指标,提出基于结构动能和弹性能度量结构振动控制效果的指标。
2.Through designing a state feedback controller,the closed-loop poles are placed within a specified disk,theH∞ norm of the closed-loop transfer function is strictly less than a given positive scalar,and the steady-state variance for each state of the closed-loop system is not more than the prescribed individual upper bound.通过设计状态反馈控制器,使闭环系统的极点被配置在给定的圆盘中,闭环传递函数的H∞范数小于所给定的一个正标量;同时,闭环系统每个状态的稳态方差不高于各自给定的上界。
3.Based on the relationship between the optimalH∞ norm and the fundamental eigenvalue of boundary value problem of the Hamiltonian differential equation as presented in part (Ⅰ), the optimal H∞, norm γopt can be obtained by the extended Wittrick-Williams algorithm after the discretization of the differential equation.在文(Ⅰ)介绍的最优H∞范数与Hamiltonian微分方程边值问题一阶特征值之间等价关系的基础上,通过将微分方程离散化为差分方程,即可利用扩展的Wittrick-Williams方法计算最优H∞范数γopt。
3)H∞ norm boundH∞范数界
4)H∞normH∞范数
1.The H2andH∞norms and their applications in vibration control systems are discussed.重点讨论了H2和H∞范数各自的特点及它们在振动控制中的物理含义及相关用途。
5)H_∞ normH∞范数
1.The aim of is to design a state feedback controller such that,for all admissible uncertainties,the closed-loop poles are placed within a specified disk,theH_∞ norm of the closed-loop transfer function is strictly less than a given positive scalar.研究了一类有色噪音驱动下的不确定系统区域稳定和方差约束的鲁棒H∞控制器的设计方法,其目的是通过设计状态反馈控制器,使闭环系统的极点被配置在给定的圆盘中,闭环传递函数的H∞范数小于所给定的一个正标量,同时闭环系统每个状态的稳态方差不高于各自给定的上界。
2.According to the physical meaning of theH_∞ norm,a nonstrict proper model is converted into some strict proper model under the equivalence condition of theirH_∞ norms.基于传递函数矩阵H∞范数的等价原则思想,将非严格正则模型转化为严格正则模型。
3.The question ofH_∞ norm is parameter-uncertainly linear system is discussed,and the uncertainty lies in the fact that the norm is limitary.讨论了一参数不确定线性系统的H∞范数问题,其不确定性是范数有界的,利用lyapunov渐进稳定性理论获得H∞范数不超过给定正数r的充分条件,并用线性矩阵不等式的方法将其表示出来。
6)H ∞ normH∞范数
延伸阅读
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