Non-fragile guaranteed cost control of discrete-time fuzzy bilinear system

This paper focuses on the problem of non-fragile guaranteed cost control for a class of T-S discrete-time fuzzy bilinear systems (DFBS). Based on the parallel distributed compensation (PDC) approach, the sufficient conditions are derived such that the closed-loop system is asymptotically stable and the cost function value is no more than a certain upper bound in the presence of the additive controller gain perturbations. The non-fragile guaranteed cost controller can be obtained by solving a set of bilinear matrix inequalities (BMIs). The Van de Vusse model is utilized to demonstrate the validity and effectiveness of the proposed approach.     

带有积分边界条件的微分方程的数值求解算法

在区间[0,1]中研究带有积分边界条件的微分方程数值求解问题,给出了这类方程精确解的表达式,证明了近似解一致收殓到精确解,误差随结点数的增加单调递减.算例验证了本文算法是有效的.     

二次D稳定约束下不确定T-S模糊系统的L∞鲁棒可靠控制

针对一类受持续有界扰动的T-S不确定模糊系统,提出了考虑执行器故障的鲁棒可靠控制器设计方法。引入基于L_∞范数理论的鲁棒性能指标及二次D稳定的概念,给出了鲁棒可靠控制器存在的充分条件。通过求解线性矩阵不等式完成可靠控制器的设计,从而使系统即使在发生执行器故障的情况下仍能满足给定的L_∞性能指标,并且闭环系统二次D稳定。仿真实例表明了本方法的有效性。     

基于重叠型区域分解的时域积分方程法

时域平面波算法可以降低时域积分方程的计算复杂度以及内存消耗,但是时域积分方程的阻抗矩阵的近场部分元素无法减少,内存消耗依然很大。提出了利用重叠型区域分解法降低时域积分方程的内存需求,通过采取划分子区域,利用特征基函数法降低阻抗矩阵规模的方法,降低了内存消耗。数值算例验证了重叠型区域分解法结合时域积分方程能有效地用于瞬态电磁散射问题的分析。     

Controlling uncertain fuzzy neutral dynamic systems with Markov jumps

The robust H∞ control problems for stochastic fuzzy neutral Markov jump systems (MJSs) with parameters uncertainties and multiple time-delays are considered. The delays are respectively considered as constant and time varying, and the uncertain parameters are assumed to be norm bounded. By means of Takagi-Sugeno fuzzy models, the overall closed-loop fuzzy dynamics are constructed through selected membership functions. By selecting the appropriate Lyapunov-Krasovskii functions, the sufficient condition is given such that the uncertain fuzzy neutral MJSs are stochastically stability for all admissible uncertainties and satisfies the given H∞ control index. The stability and H∞ control criteria are formulated in the form of linear matrix inequalities, which can be easily checked in practice. Practical examples illustrate the effectiveness of the developed techniques.     

不同粗糙度平面上静止颗粒堆底的切应力分布

在两种不同粗糙底面上测量了用从固定点以相同流量落下颗粒的方法制备而成的圆锥堆底的切向应力分布. 结果显示, 粗糙度大的底面有相对较大的切向应力. 利用一般的力平衡方程、库仑不等式、圆锥堆侧面的自由边界条件以及测量的数据可以验证, 堆底面切向应力强度与法向应力分布出现中心凹陷现象有关, 切向应力越大凹陷现象越明显. 另外, 提出了一个颗粒堆的非线性应力关系唯象模型.     

五自由度磁轴承系统的α阶逆系统解耦控制

采用α阶逆系统理论对五自由度磁轴承系统进行解耦控制.在建立磁轴承系统状态方程的基础上,对该系统进行了基于逆系统理论的线性解耦,并根据时间乘以误差绝对值积分(integral of time-weighted absolute error,ITAE)最小评价准则设计了闭环控制器.仿真和试验表明,α阶逆系统解耦后系统各自由度之间不存在耦合,解耦控制器与PID控制器相比,具有更好的动态特性和静态特性.     

关于Green公式条件的一点注记

在仅假设Green公式中所出现的线积分存在、一阶偏导数连续,在不要求所有的一阶偏导数存在的较弱条件下证明了Green公式,且证明过程更易理解.     

Precorrected-FFT method for EM scattering from composite metallic-dielectric objects

The volume-surface integral equation(VSIE) ,the surface integral equation(SIE) and the volume integral equation(VIE) of EM scattering problem are converted into linear equations with the method of moment,then the precorrected-FFT method is used to solve the linear equations.To overcome the drawback of conventional stencil topology,two kinds of improved stencil topology,stencil topology B and stencil topology C,are presented,and the construction and actual performance of the three kinds of stencil topology a...     

电子商务下多商品流闭环供应链网络均衡模型

随着循环经济的兴起,废弃物的回收、再利用逐渐得到重视,闭环供应链也由此成为研究重点.以变分不等式理论为基础,构造一个由制造商、零售商、消费者与回收公司构成的闭环供应链网络均衡模型.鉴于电子商务的迅速发展,模型考虑了网上交易形式,讨论了网络中各层决策者的独立行为及其相互作用,进而获得该系统达到均衡状态的条件.数值算例验证了该模型的有效性.