查询词典 fractional function

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换，将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题；然后通过对性能指标的扩展，利用min-max方法，得到了鲁棒滚动时域控制律，并给出了其存在和使闭环系统渐近稳定的充分条件，并将结果扩展到对定常系统时域无穷的的情况，指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

Using the linear fractional transformation for the system model, the controller was designed based on H2/H∞ control by the method of linear matrix inequalities for the uncertain parameter and external disturbance in hydraulic servos.

针对液压伺服系统中参数时变和外界干扰的特点，通过运用线性分式变换得出系统的传递函数，运用线性矩阵不等式处理方法，设计出基于H_2/H_∞控制的控制器。

Firstly, Receding horizon H〓 control based on state feedback with terminal constraints is proposed for systems with disturbance inputs and parameter perturbations. Linear Fractional Transformation and some existed results on Receding horizon H〓 control for systems without perturbations are introduced.

首先针对同时存在外界输入扰动和自身参数摄动的不确定线性时变系统，利用线性分式变换和现有的一些无摄动系统滚动时域H〓控制的结果，得到了基于状态反馈的终端约束滚动时域H〓控制器的设计方法，并给出了控制律存在和使闭环系统渐近稳定的充分条件。

To develop Linear Fractional Transformation model based on quasi-linear model for ground-to-air missile, state transformation method was used to establish quasi-Linear Parameter Varying model for missile longitudinal short-period dynamics by changing missile states along with an equilibrium trajectory decided by time-varying parameters. Based on the obtained quasi-LPV model, the LFT model of the missile was developed by use of MATLAB functions, and the missile dynamics were explicitly separated into certainty part and time-varying parameter part.

为了建立基于准线性化模型的地空导弹线性分式变换模型，采用状态替换方法将导弹的状态沿着一条由时变参数决定的平衡点轨迹进行变换，建立了纵向短周期动力学的准线性参数时变模型；基于所建立的准LPV模型，采用MATLAB函数建立了导弹的LFT模型，将导弹动力学明确描述为确定性部分和时变参数部分。

Moreover, we use Linear Fractional Transformation to convert the effective performance indices, which includes conjugate poles, the DC value of output resistance, and the zeros/poles of compensator, of the circuit into the LFT mathematic models.

接著使用线性分式转换(Linear Fractional Transformation， LFT)将对电路特性具有影响之性能指标，如共轭极点、输出阻抗之直流响应值、以及补偿器的极零点转换成一LFT的数学模型。

To weaken the influences of the position-dependent periodic disturbances and parameter uncertainties, the robust repetitive controller was designed, which associated structure singular value theory with the discrete-time repetitive control theory. The problem of robust repetitive control was transformed into one of H∞ optimal control using linear fractional transformation. The robust repetitive controller was achieved using D-K iteration procedure and made the servo system have stability, robustness and tracking performance.

为了削弱周期性扰动及参数变化不确定性的影响，将重复控制和结构奇异值理论相结合，利用线性分式变换(linear fractional transformation，LFT)将鲁棒重复控制问题转换成H∞最优控制问题，采用D-K迭代法设计鲁棒重复控制器(robust repetitive controller，RRC)，实现系统的稳定性和鲁棒性，提高系统的跟踪特性。

The fractional Fourier transform is a linear operator,and will not be influenced by cross terms.

分数傅立叶变换是线性变换，不存在交叉项，采用分数傅立叶变换搜索匹配动目标信号，使其能量汇聚。

The state-space representation of linear time-invariant fractional order systems is introduced, and a proof of their stability theory is also given.

介绍了分数阶线性定常系统的状态方程描述，并给出了其稳定性定理的一个证明。

Based on the stability theory of fractional-order linear system,stability of the proposed method is analysed.

基于分数阶线性系统的稳定性理论，分析了该方法的稳定性。

According to the mineralization of Cu-Ni and Pt-Pd deposit, Cu-Ni sulphides were formed by liquation in the late phase of fractional crystallization of magma chamber, and the Pt-Pd mineralization mainly occurred on the process of fluid action after diagenetic stage.

就铜镍和铂钯矿化而言，铜镍硫化物形成于岩浆房分离结晶晚期的熔离作用，而铂钯矿化则主要在成岩期后流体作用阶段形成。

He has to relate with three women in the movie, and yet remain implicitly faithful to the unseen Lucinda.

让克劳德布里亚里成功地饰演试验了一个难度很大的角色：和三个女人打交道，但还要底下对观众未曾谋面的卢馨达保持忠诚。

The experiment was conducted to study effects of inulin on the growth performance, indices of immune organs and serum immunoglobulin of laying chicklings as well as the performance of inulin which replaced the antibiotics in diets by adding 0.2%, 0.4% and 0.8% of inulin, respectively.

试验旨在通过在蛋用雏鸡日粮中添加0.2%、0.4%和0.8%的菊粉，研究菊粉对蛋雏鸡生长性能、免疫器官指数和血清免疫球蛋白的影响，以及菊粉替代抗生素对蛋雏鸡的应用效果。