典型模糊控制器的隶属函数设计及分析

基于一类sum-product模糊推理算子、重心解模糊化法和单点输出的典型模糊控制器的解析结构推导,深入分析了输入隶属函数对模糊控制系统性能的影响,提出了隶属函数的系统化设计方法.并在此基础上,设计了一种具有等差间距因子的三角形隶属函数并推导了其模糊控制器的解析结构,仿真结果证明了该设计的有效性.     

GA状态空间的代数模型

以遗传算子的代数模型为基础 ,以矩阵的初等变换及初等矩阵为基本工具 ,给出了遗传算法状态之间的代数通达概念 ,分析了杂交、变异、选择及保优等算子的通达性 ,建立了遗传算法状态空间的代数通达关系 ,给出了返祖操作、退化操作等遗传操作的代数基础 .     

一类不确定性非线性系统的状态反馈鲁棒自适应控制器的设计与分析

该文考虑一类具有一般不确定性和部分参数未知的非线性系统（1），设计出一种用于跟踪参考信号的状态反馈鲁棒自适应控制器，此控制器对系统参数和状态的不确定性具有鲁棒性，能保证闭环系 统的全局稳定性，并解决了ε 跟踪问题. 仿真结果表明，所设计的鲁棒自适应控制系统具有良好的跟踪性能， 而且控制量在容许控制的范围之内.     

Feng混沌系统参数识别及自适应模糊控制器的反步设计

设计了参数观测器,对Feng混沌系统中未知参数进行识别.采用反步控制方法,在存在输入扰动项的情况下,构造模糊自适应控制器控制Feng混沌系统.模糊逻辑系统用来逼近反步控制方法中出现的未知、非线性且结构复杂的函数.和传统的反步控制方法相比,本文采用的控制器结构简单,易于实现.仿真的结果验证了本文控制方法的有效性.     

Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems

Simulation, design optimization and controller design of modern machine tools heavily rely on adequat numerical models. In order to achieve results in shorter computation times, reduced order models (ROMs) are applied in either of these tasks. Most modern simulation tools expect these ROMs to come in standard state space form. Structural models of the machine tool are however of second order type. In case piezo actuators are used in the device they are even differential algebraic equations (DAEs) of index one due to the coupling to the equations describing the electric potentials. This contribution is dedicated especially to those systems. We combine the ideas for balanced truncation model order reduction of large and sparse index 1 DAEs with methods developed for the efficient numerical handling of second order systems. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

一类具有一般出生函数阶段结构的传染病模型的全局分析

假设种群个体生长分幼年和成年两个阶段以及疾病仅在成年阶段传播,建立并研究了一类幼年个体输入率为一般函数的传染病模型,得到了决定种群存活与否的种群存活基本再生数和决定疾病传播灭绝与否的疾病传播基本再生数,通过构造适当的Lyapunov函数分析了模型的全局阈值动力学性态.     

发现空间目标并定位的模型

针对在一个圆柱体内用最少的红球、蓝球发现黄球的问题,采用多个椭圆覆盖圆柱顶面的方法,设计出利用18个球覆盖的方案,叙述了该方案的设计思路,并严格证明出方案的可行性.针对用最少的红球、蓝球发现并定位黄球的问题,设计出36个球的方案,严格证明出方案的可行性.     

全函数空间和置换空间的一些性质

In this paper, an equivalent relation among the reflexivity, weak sequential completeness and bounded completeness in full function space is given. Some results on weakly sequential compactness of subset and the property （u） in substitution spaces are obtained.     

Structure of the Space of Diametrically Complete Sets in a Minkowski Space

We study the structure of the space of diametrically complete sets in a finite dimensional normed space. In contrast to the Euclidean case, this space is in general not convex. We show that its starshapedness is equivalent to the completeness of the parallel bodies of complete sets, a property studied in Moreno and Schneider (Isr. J. Math. 2012, doi:10.1007/s11856-012-0003-6), which is generically not satisfied. The space in question is, however, always contractible. Our main result states that in the case of a polyhedral norm, the space of translation classes of diametrically complete sets of given diameter is a finite polytopal complex. The proof makes use of a diagram technique, due to P. McMullen, for the representation of translation classes of polytopes with given normal vectors. The paper concludes with a study of the extreme diametrically complete sets.     

Black-box Identification of Transfer Functions: Asymptotic Results for Increasing Model Order and Data Records

The problem of estimating the transfer function of a linearstochastic system is considered. The transfer function is parametrizedas a black box and no given order is chosen a priori. This meansthat the model order may increase to infinity when the numberof observed data tends to infinity. The consistency and convergenceproperties of the resulting transfer-function estimates areinvestigated. In an earlier paper results were given for models,parametrized as finite impulse responses. In this article theseresults are extended to more general parametrizations and togeneral noise models. A main result is that the variance ofthe transfer-function estimate at a certain frequency is asymptoticallygiven by the noise-to-signal ratio at that frequency, multipliedby the ratio of the model order to the number of data points.     

基于模糊综合函数的目标属性识别模型

应用模糊集理论量化了防空火力单元识别结果,利用模糊综合函数对火力单元的量化结果进行综合,并给出了信任函数的表达式。     

Electroelastic State of a Multiply Connected Piezoelectric Half Plane with Holes and Cracks

A method has been proposed [1] for solving two-dimensional electroelasticity problems using generalized complex potentials. General representations of complex potentials for a multiply coupled region have been studied [2] and a method for calculating the stress intensity factors and induction has been introduced. In this article, general expressions are obtained for the complex potentials for a multiply connected half plane with arbitrarily positioned holes and rectilinear cracks and the electroelastic state of a half plane with a single elliptical hole or rectilinear crack is studied.     

Criteria for a Function to Belong to the $$p$$ -Variational Besov Space

Mathematical Notes - Necessary and sufficient conditions for a function to belong to the Besov space constructed from the space $$V_p$$ of functions of bounded $$p$$ -variation are studied. These...     

一类多输入T-S模糊双线性系统的控制器设计及稳定性分析

分别研究一类T-S多输入模糊双线性系统和带有不确定项的多输入模糊双线性系统(M-I FBS)的稳定性分析及控制器设计.使用分布补偿算法(PDC)设计了模糊控制器,分别得到了M-I FBS和带有不确定项的M-I FBS渐近稳定的充分条件.最后,仿真结果验证了推导的该条件的有效性.     

一类具有时变时滞的中立型系统的稳定性分析

本文研究一类具有状态时滞和输入时滞的时变时滞线性中立型系统.首先,通过选取合适的Lya-punov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskii稳定性定理对时滞相关的系统进行稳定性分析,并设计了相应的控制器.改进了时不变时滞线性系统方面的一些结果.最后用实例验证所得到结果.     

State Space Formulas for a Solution of the Suboptimal Nehari Problem on the Unit Disc

We give state space formulas for a (“central”) solution of the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. Instead of assuming exponential stability, we assume a weaker stability concept (the combination of input-, output- and input-output stability), which allows us to solve the problem for general H-infinity functions.      

Global Dispersion Relation for Density Waves In a Certain Simplified Model of a Disk Shaped Galaxy

For density waves in a certain simplified model of a disk shaped galaxy, the dominant term of the basic equation (governing density waves) may be represented by a cubic polynomial, in which the stability parameter Q is allowed to be somewhat less than unity near corotation. For such a differential equation, an asymptotic form of the global dispersion relation is presented. It is shown that there exist discrete complex roots of the dispersion relation with small negative imaginary parts. The real parts and the imaginary parts of these roots represent approximately the angular speeds and the growth rate of the amplitudes of the density waves, respectively. It is proved that there exist only a finite number of unstable normal modes of density waves.     

一类太空等离子体单粒子运动模型的同宿轨

由于空间等离子体间接观察的不确定性和不可重复性以及只能进行被动实验的局限性,为了准确地描述空间等离子体粒子运动的动力学特征,建立了一类太空等离子体单粒子运动的非线性模型．首先运用重合度理论探讨了一类非线性问题的周期解,然后将其应用于太空等离子体单粒子运动模型的同宿轨问题的研究,获得了该模型存在同宿轨的新结果,为研究空间环境提供了更好的观测和理论基础.     

基于GA-BP的模糊神经网络控制器与Elman辨识器的系统设计

提出了一种基于神经网络的模糊控制系统 ,该系统由模糊神经网络控制器和模型辨识网络组成 .文中介绍了模糊神经网络控制器采用遗传算法离线优化与 BP算法在线调整 ,给出了具体控制算法 ,推导了变形 Elmam网络的系统辨识算法 .仿真结果表明了此法的可行性和有效性 .