Motion planning for control-affine systems satisfying low-order controllability conditions

This paper is devoted to the motion planning problem for control-affine systems by using trigonometric polynomials as control functions. The class of systems under consideration satisfies the controllability rank condition with the Lie brackets up to the second order. The approach proposed here allows to reduce a point-to-point control problem to solving a system of algebraic equations. The local solvability of that system is proved, and formulas for the parameters of control functions are presented. Our local and global control design schemes are illustrated by several examples.     

一大类非线性系统对正弦激励响应的Volterra核

借助于多维傅立叶变换给出了一大类非线性系统对正弦激励响应 Volterra核的理论分析方法。     

非线性系统等效的充分必要条件

研究了任意两个非线性系统等效的充要条件 .这一条件可以表达为两个非线性系统的对称化渥尔特拉核相等 ,它构成了判定任意两个非线性系统等效的一种判据 .     

An approach to the creation of formal models of the influence of environmental impact on the development of biological systems

An approach to the construction of formal models of biological systems is proposed. The approach takes into account the response of the systems being simulated to the environmental influence. Biological systems of different levels of organization are discussed. Some specific examples of application of the approach proposed for experimental investigations are given. Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 166–174, July–August, 1999.     

基于Volterra级数的提升小波变换边界处理及应用

针对现有的提升小波变换容易产生边界振荡和频率混叠的不足,提出了一种将Volterra级数模型和抗混叠提升小波包相结合的信号处理方法.首先对信号两端进行数据延拓,用二阶Volterra级数预测模型对延拓信号进行预测;然后用抗混叠提升算法对信号进行小波包分解.对仿真信号进行边界处理后,信号在边界不会出现振荡现象;用抗混叠提升小波包对信号进行分解不会引起频率混叠现象.工程应用中,从强大的背景噪声中提取出了往复泵柱塞与缸套碰磨产生的微弱振动冲击信号,诊断出了密封盘根过度磨损的故障.     

海浪水压场的部分解耦Volterra自适应混沌预测

针对高海况下对海浪水压场实施预测滤波效果较差这一问题,文中基于混沌模型提出了一种新的预测滤波方法。首先对海浪水压信号的混沌特性进行了分析,计算了相空间重构的参数,建立起了海浪水压场的相空间重构模型;并根据其所具有的混沌特性,利用其相轨迹所揭示的高阶信息,使用二阶部分解耦Volterra自适应预测滤波器进行预测滤波。大量实测海浪数据的滤波实验和对舰船水压信号的检测结果显示,这种算法既具有较高昀预测滤波效果,又能根据海况的变化及时地调整滤波器系数,算法实现较为简单,适合海浪这种短时平稳信号。     

自适应Volterra滤波器的递归结构和类递归结构及其算法和应用

本文参考自适应IIR滤波器理论,提出了自适应Volterra滤波器(AVF)的递归结构和类递归结构,讨论了其特点和应用范围.递归结构的引入可显著减少AVF的参数和计算量.本文还给出了类递归结构AVF的在线辨识算法和在非线性系统辨识中的应用;给出了递归结构AVF的滤波算法和在非线性相关噪声抵消中的应用.在仿真实验中,将上述算法与多层感知器和非递归结构AVF做了对比.结果表明,本文算法住性能和计算量上均有明显优势。     

基于沃尔泰拉理论的集总光纤非线性噪声补偿

通过沃尔泰拉(Volterra)级数理论求得了非线性薛定谔方程(NLSE)的半解析解,在考虑光纤损耗、色散及非线性效应的情况下,推出了长距离在线级联掺铒光纤放大器(EDFA)光纤通信系统中信号和自发辐射噪声(ASE)之间耦合串扰的半解析表达式,得到了多跨距传输接收端输出信号和发射端输入信号之间的关系式.根据维纳(Wiener)滤波理论的时域滤波原理,在多跨距传输系统接收端设计了对非线性乘性噪声有滤波作用的维纳滤波器,并对预集总色散补偿、后集总色散补偿、分布链路色散补偿系统及一对三"跨距成比例平移对称的色散非线性同步补偿系统进行了仿真模拟研究.结果表明了提出的设计思路及方法的可行性,为进一步提高传输距离增大入纤功率提供了新的思路.     

基于分数阶相关的模拟集成电路软故障诊断* Deng Yong(邓勇), Shi Yibing(师奕兵)and Zhang Wei(张伟)

针对模拟集成电路软故障诊断的难题,提出了基于分数阶相关的方法。首先,利用分数阶小波包将待测试电路(CUT)的Volterra级数进行分解,计算出分数阶相关函数。然后,用得到的分数阶相关函数构造出待测试电路的故障特征。通过对故障特征的比较,可以将待测试电路的各种软故障状态进行辨识并对故障实现定位。标准电路的仿真实验描述了这一方法并验证了该方法对模拟集成电路软故障诊断的有效性。     

Artificial neural networks based modeling for solving Volterra integral equations system

Properly designing an artificial neural network is very important for achieving the optimal performance. This study aims to utilize an architecture of these networks together with the Taylor polynomials, to achieve the approximate solution of second kind linear Volterra integral equations system. For this purpose, first we substitute the Nth truncation of the Taylor expansion for unknown functions in the origin system. Then we apply the suggested neural net for adjusting the numerical coefficients of given expansions in resulting system. Consequently, the reported architecture using a learning algorithm that based on the gradient descent method, will adjust the coefficients in given Taylor series. The proposed method was illustrated by several examples with computer simulations. Subsequently, performance comparisons with other developed methods was made. The comparative experimental results showed that this approach is more effective and robust.