piecewise linear model

Based on the fact that some function values are not easy to compute, Chapter 2 establishes a piecewise linear model by utilizing approximate objective function values and subgradients.

第二章中，基于某些函数值不易求得的事实，利用目标函数的近似函数值和近似次梯度构建了一种对目标函数的分片线性近似模型，该模型位于目标函数的下方。

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Based on this assumption, combined with the non-isochronous features of track irregularity time series data, this paper proposes Piecewise Linear Recursive Model based on Short-term Historical Trends model ( PLRMSHT).

基于此假设，并结合轨道不平顺时间序列数据的非等时距特征，论文提出基于非等时距短期历史趋势的时间序列分段线性递推模型（PLRMSHT）。

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With the purpose of controller design, an ANFIS fuzzy modeling technique is used to simplify the process model and a control-oriented piecewise linear input-output model is deduced.

由于过程的物理模型难以直接应用于控制器设计，因此首先基于ANFIS模糊建模系统对过程进行了简化，结果得到了面向控制的分段线性系统模型。

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A multi model method of dynamic integrated system optimization and parameter estimation for nonlinear discrete dynamic systems is presented based on piecewise linear multi model of nonlinear system. The optimality and convergence of the algorithm are proved.

在非线性系统分时段线性化多模型基础上，给出了非线性离散动态系统优化与参数估计集成的多模型方法，并论证了算法的最优性和收敛性。

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Model Predictive Control for Piecewise Linear System Based on Mixed Logical Dynamic Model

基于混合逻辑动态的分段线性系统模型预测控制

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The real optimal solution of nonlinear discrete dynamic system can be obtained from piecewise linear model with model reality differences by iterative solution.

在存在模型-实际差异的情况下，从分时段线性化多模型出发通过迭代运算可得到实际非线性离散动态系统的真实最优解。

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This method can automatically provide the piecewise linear fitting simplified model which fulfilling the scheduled error requirement and change the number of linear subsection by adjusting the error limitation, thus improve the simulation speed when ensuring the system simulation precision.

该方法可在满足预定误差要求前提下自动给出分段线性拟合简化模型，可以通过调整误差限度改变复杂非线性特性的线性分段数，进而在提高仿真速度的同时保证整个系统仿真的精度要求。

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Based on analysis of the asymmetrical hysteretic nonlinearity of materials, a piecewise linear asymmetrical hysteretic model was built.

分析了振动压实过程中被压实材料的不对称迟滞特性，建立了一种分段线性的不对称迟滞模型。

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Then analyzes how the potential well locations and other system parameters of piecewise linear model system effect the stochastic resonance.

分析了分段线性模型系统势阱位置和其他系统参数对随机共振的影响，得出了势阱位置与输出信号幅值有关，系统参数影响信号在势阱间跃迁等结论。

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Moreover, the solution for ideal drain-well corresponding to the piecewise linear model is derived.

此外，还推导了与分段线性模型相对应的理想单井固结理论解。

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The results also show that the piecewise linear model as the Buck converter can be decoupled completely by using the state variable feedback exact linearization method, so it is a generality theory with practical significance.

同时说明状态反馈精确线性化能对Buck变换器这类分段线性系统实现完全解耦控制，从而具有一般性理论和实际意义。

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Interval Representation of Piecewise Linear Model for Nonlinear Resistive Networks

非线性电阻网络分段线性模型的区间表示

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This model using a new boiler efficiency formula and piecewise linear model of steam turbine formula that makes the total mathematic model based on MILP.

模型通过采用新的锅炉效率公式及对汽轮机非线性做工曲线进行分段线性化处理使模型的所有约束都为线性。

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The simulated results showed that the piecewise linear model performed better than the other two methods with a ME ( Model Efficiency) by0.99 and a less RMSE ( Root Mean Square Error).

对比结果表明：分段线性订正模型的模拟效果优于其他两种方法，其模型效率达到0.99，均方差也明显偏小；

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Dynamical Properties of Piecewise Linear Spiking Neuron Model

分段线性脉冲神经元模型的动力学特性分析

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Based on multiple linear regression, the piecewise linear regression is lead into build the thermal error model.

在多元线性回归建模的基础上，应用分段线性回归模型进行建模，通过数据分析表明，进一步提高了热误差的精度。

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A Canonical Piecewise-Linear Model on non linear Devices

非线性器件规范的分段线性化模型

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Model predictive control for piecewise linear ( PL) system is studied. A dual-model predictive control method for PL system is presented and its stability is proved.

研究分段线性（PL）系统预测控制问题，提出了PL系统双模预测控制，并证明了该方法的稳定性。

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Image Compression Algorithm Based on Piecewise Linear Model and DCT

分片线性函数逼近与DCT相结合的图像压缩方法

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And the detection on binary aperiodic signals based on the piecewise linear model, we found that through an appropriate adjustment to the noise intensity and system parameters, there is an optimum value can be achieved for non-periodic signal detection.

对含噪声二进制非周期信号进行检测，发现适当调节噪声强度和系统参数，同样存在一个最佳值可以实现对非周期信号的检测。

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The joint is modeled as a piecewise linear model, and the spectral element method is extended to solve the piecewise linear problems, which expands the application fields of the spectral element method.

论文将铰模拟为分段线性模型，并将谱元法推广应用到求解分段线性问题，拓展了谱元法的应用领域。

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The piecewise linear contact force model of material layers during impact crushing is put forward, based on the quasi-static compression crushing experiments, in which the parameters of model are analyzed and a revert coefficient is introduced to express the relation between parameters.

针对冲击破碎过程，在初步准静压破碎实验的基础上，提出了物料层的分段线性接触力模型，并引入恢复系数来表示膨胀阶段和压缩阶段之间的参数关系。

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The slab model of tokamak ion cyclotron resonance heating ( ICRH) coupling calculation gives large error to calculate the poloidal long antenna. In order to solve the problem, an improved algorithm by piecewise linear antenna model is presented and the calculation precision is upgraded.

托卡马克中离子回旋共振加热（ICRH）的平板模型在计算沿极向尺度较长的天线时误差较大，针对这一问题提出了一种将天线进行分段处理的改进算法，该算法提高了计算精度。

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A state space model for ABS ( Anti-lock Brake System) of four channels was set up. Considering the nonlinear characteristics of its control problem, a piecewise linear superposition system was built by PLPF ( Piecewise Linear Polynomial Function).

建立了四通道车辆防抱制动系统（ABS）的状态空间模型，考虑到其非线性特性，提出了用PLPF（分段线性多项式）函数对其进行分段线性化的方法。

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