Adaptive predistortion using threshold decomposition‐based piecewise linear modeling

A new adaptive predistortion approach for nonlinear power amplifiers based on the piecewise linear (PWL) approximation of nonlinear functions is presented. The PWL model is obtained using threshold decomposition (TD) of the input‐output characteristics. The TD based PWL model is used to develop a baseband predistorter using both the direct and the indirect learning architectures. The proposed predistorter is proved to provide a better performance in suppressing nonlinear distortion than conventional polynomial predistorters and a reduced hardware complexity as compared to lookup table (LUT) approach. © 2011 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2011.     

一类具有应力相关迟滞非线性智能结构的建模与跟踪控制研究

智能结构在变化的负载下产生的应力相关迟滞非线性严重影响了其在亚微米级跟踪控制中的应用. 因此, 本文提出了一种应力相关Preisach算子用以描述当输入信号与应力同时变化时, 智能结构所产生的迟滞非线性特性. 该应力相关Preisach算子是在经典Preisach算子的基础上, 通过将应力相关项引入密度函数所得到的. 此外, 为了实现逆补偿控制器的设计, 本文提出了应力相关Preisach算子的性质与基于模糊树方法的辨识方案. 继而, 本文设计了一种基于所提算子的前馈逆补偿与反馈控制器结合的复合控制方案, 并将其应用于一类超磁致伸缩智能结构的实时跟踪控制实验中. 实验证明, 与经典Preisach算子相比, 所提出的算子和相应的控制方案能够较好的消除应力相关迟滞非线性的影响并使控制效果显著提高.     

The complex local mean decomposition

The local mean decomposition (LMD) has been recently developed for the analysis of time series which have nonlinearity and nonstationarity. The smoothed local mean of the LMD surpasses the cubic spline method used by the empirical mode decomposition (EMD) to extract amplitude and frequency modulated components. To process complex-valued data, we propose complex LMD, a natural and generic extension to the complex domain of the original LMD algorithm. It is shown that complex LMD extracts the frequency modulated rotation and envelope components. Simulations on both artificial and real-world complex-valued signals support the analysis.     

Apparent mass matrix of standing subjects exposed to multi-axial whole-body vibration

This paper describes the experimental characterisation of the apparent mass matrix of eight male subjects in standing position and the identification of nonlinearities under both mono-axial and dual-axis whole-body vibration. The nonlinear behaviour of the response was studied using the conditioned response techniques considering models of increasing complexity. Results showed that the cross-axis terms are comparable to the diagonal terms. The contribution of the nonlinear effects are minor and can be endorsed to the change of modal parameters during the tests. The nonlinearity generated by the vibration magnitude is more evident in the subject response, since magnitude-dependent effects in the population are overlaid by the scatter in the subjects’ biometric data. The biodynamic response is influenced by the addition of a secondary vibration axis and, in case of dual-axis vibrations, the overall magnitude has a marginal contribution.

Practitioner Summary: We have measured both the diagonal and cross-axis elements of the apparent mass matrix. The effect of nonlinearities and the simultaneous presence of vibration along two axes are smaller than the inter-subject variability.     

A generalized function projective synchronization scheme for uncertain chaotic systems subject to input nonlinearities

In this paper, a modified generalized function projective synchronization scheme for a class of master–slave chaotic systems subject to dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities) is investigated. This synchronization system can be seen as a generalization of many existing projective synchronization schemes (namely the function projective synchronization, the modified projective synchronization and so on), in the sense that the master system has a scaling function matrix and the slave system has a scaling factor matrix. To practically achieve this generalized function synchronization, an adaptive fuzzy variable-structure control system is designed. The fuzzy systems are used to appropriately approximate the uncertain nonlinear functions. A Lyapunov approach is employed to prove the boundedness of all signals of the closed-loop control system as well as the exponential convergence of the synchronization errors to an adjustable region. Simulations results are presented to illustrate the effectiveness of the proposed generalized function PS scheme.     

平行梁式电容传感器极板耦合角位移计算和分析

为了解决平行梁式电容称重传感器极板耦合角位移带来的输出电容值与输入载荷之间的非线性问题,运用力法对平行梁式弹性体超静定结构进行了计算分析,得出了与上下极板夹角关联的主要结构参数,通过内力对极板角度进行了解析,并在有限元软件中验证了计算的正确性。此结果为平行梁通过结构参数设计优化耦合角位移提供了理论方法,并根据非平行板电容计算公式,构建了更加精确的载荷与电容的数学模型,为传感器输出输入特性曲线的拟合提供了依据。     

发动机部件强度和刚度评价及疲劳分析

某汽油机开发阶段须对发动机各主要部件结构强度和刚度做全面评价,并且须考核缸盖缸体的高周疲劳性能.基于STAR-CCM+计算出水套内部气体温度和对流换热系数,将其映射到水套有限元网格表面上作为温度边界条件.得到整个机体的温度场分布以后,在考虑各部件接触非线性的基础上,得到机体各部件的应力和变形等结果并进行评价.在有限元分析结果的基础上考虑材料温度非线性,考察缸体缸盖疲劳安全因数.结果表明,缸盖局部应力偏大,下缸体与油底壳接触面局部间隙过大,缸体缸盖疲劳安全性能满足要求.     

A compact split step Padé scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion

In this paper we propose a compact split step Padé scheme (CSSPS) to solve the scalar higher-order nonlinear Schrödinger equation (HNLS) with higher-order linear and nonlinear effects such as the third and fourth order dispersion effects, Kerr dispersion, stimulated Raman scattering and power law nonlinearity. The stability of this method has been proved. It has been shown as well that the CSSPS method gives the same results as classical numerical methods like the split step Fourier method and Crank–Nicholson (CN) method but it presents many advantages over theme. It is more efficient. This proposed scheme is well suited to higher-order dispersion effects and readily generalized for nonlinear and dispersion managed fibers. We tested this scheme for the case of the quintic nonlinearity and confirmed that this effect has no significant role on the propagation of single solitons.     

输入为扇区非线性的不确定系统的鲁棒镇定

讨论一类输入为扇区非线性的不确定系统的渐近镇定问题。在假设系统不确定性满足匹配条件的情况下,基于无源性理论用逻辑切换得到了控制规律,并给出镇定这类系统的一种新的鲁棒控制方法。仿真算例表明该方法具有良好的控制效果。     

基于BP神经网络的氧化锆氧量计的非线性补偿研究

氧化锆氧量计的工作原理是氧浓差电池原理,其氧浓差电势的计算是严重的非线性函数;选用只含一个隐含层的三层BP神经网络结构,充分利用BP神经网络的非线性函数逼近能力,无需模型只要适量的学习样本通过反复训练,即可按指定精度完成对氧化锆氧量计非线性特性的辩识和输出信号的非线性补偿;就隐含层节点数、学习率、误差指标等参数对该方法中BP神经网络训练次数和收敛过程的影响进行了比较研究。