分数抽样率变换中线性相位FIR滤波器多相分解的对称性研究

为提高分数抽样率变换系统的计算效率, 在讨论其滤波器多相分解结构的基础上, 利用线性相位FIR滤波器的系数对称性, 构造多相分解系数的中心对称矩阵, 推导出适用于任意分数抽样率和任意滤波器阶数的高效实现方法, 并给出所需乘法与加法运算量的计算公式. 测试结果表明, 与直接计算相比, 采用本文方法可减少50%乘法运算和30%加法运算, 计算效率显著提高.     

不确定广义时滞依赖鲁棒H∞控制

This paper discusses the problem of delay-dependent robust Ha control for uncertain singular systems with state delay. Based on linear matrix inequality (LMI) approach, we design a state feedback controller, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable with an H<,∞> norm bound constraint. All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices. Numerical examples show that the proposed methods are less conservative than existing ones.     

针对准单边Lipschitz不确定非线性时滞系统的稳定性分析

研究了一类不确定非线性时滞系统的鲁棒稳定性. 准单边Lipschitz条件被介绍, 并被用于估计非线性向量函数在稳定性分析中的影响. 线性矩阵不等式形式的时滞无关/时滞相关稳定性判据被得到. 此外, 即使系统系数是不稳定的, 这些稳定性判据也是可利用的, 因为未必正定的准单边Lipschitz常数矩阵包含了很多非线性部分的有用信息. 数值实例证实了本文所获结果的有效性.     

一类基于观测器的非线性网络化控制系统的绝对稳定性

主要考虑了基于观测器的Lurie网络化控制系统的绝对稳定性问题. 由于采用了基于观测器的反馈控制器, 传感器到控制器的网络诱导时延和控制器到执行器的网络诱导时延不再能合并到一起处理. 首先通过状态增广方法将Lurie网络化控制系统建模为一个多时滞的Lurie系统, 然后利用Newton-Leibniz公式和添加自由权矩阵的方法给出了时滞依赖的稳定性条件. 在此基础上, 给出三种求解控制器和观测器增益矩阵的方法. 此外, 还分别给出了被控对象存在范数有界不确定性和结构不确定性时系统的鲁棒稳定性条件及鲁棒控制器设计方法, 所有得到的结果都是以线性矩阵不等式的形式给出的. 便于利用线性矩阵不等式工具包进行求解. 最后, 通过两个仿真算例说明了方法的可行性和有效性.     

广义时滞系统的时滞依赖L2-L∞滤波

讨论广义时滞系统的L2-L∞滤波问题. 目的是设计全阶滤波器保证滤波误差系统的时滞依赖指数允许性和给定的L2-L∞性能指标. 通过解线性矩阵不等式获得所需的滤波器. 数值例子表明结果具有较小的保守性.     

基于混合线性模型的图像去噪

现有的图像去噪算法大多假设图像为分段平滑信号,通过滤除图像中的振动分量达到去噪的效果.如果将这类方法应用于纹理图像,则会导致图像细节信息的损失.该文针对保留图像细节的问题,提出了基于混合线性模型的去噪方法.新方法不假设图像分段平滑,仅假设图像具有自相似性,利用图像的相似性区分图像信号与噪声.文中使用统计学习的方法对图像区域进行聚类,并得到图像主成份,以主成份作为信号分量重组图像,从而对纹理图像取得很好的去噪效果.     

A new mixed integer linear programming model for product development using quality function deployment

Quality function deployment (QFD) is a product development process performed to maximize customer satisfaction. In the QFD, the design requirements (DRs) affecting the product performance are primarily identified, and product performance is improved to optimize customer needs (CNs). For product development, determining the fulfillment levels of design requirements (DRs) is crucial during QFD optimization. However, in real world applications, the values of DRs are often discrete instead of continuous. To the best of our knowledge, there is no mixed integer linear programming (MILP) model in which the discrete DRs values are considered. Therefore, in this paper, a new QFD optimization approach combining MILP model and Kano model is suggested to acquire the optimized solution from a limited number of alternative DRs, the values of which can be discrete. The proposed model can be used not only to optimize the product development but also in other applications of QFD such as quality management, planning, design, engineering and decision-making, on the condition that DR values are discrete. Additionally, the problem of lack of solutions in integer and linear programming in the QFD optimization is overcome. Finally, the model is illustrated through an example.     

Random linear-quadratic mathematical models: Computing explicit solutions and applications

This paper deals with the study of linear random population models and with a random logistic model (where parameters are random variables). Assuming appropriate conditions, the stochastic processes solutions are obtained under closed form using mean square calculus. Expectation and variance expressions for the stochastic processes solutions are given and illustrative examples are included.