通过频率控制实现AFC

% fodpso - 分数阶达尔文粒子群的 MatLab 函数% 优化 (FODPSO)。 % 仅限于九个变量的优化问题，但很容易% 被扩展为更多的变量。 % % xbest = fodpso(func) % xbest - 优化问题的解决方案。 列数% 取决于输入函数。 size(func,2)=xi 变量的数量% func - 包含数学表达式的字符串。 定义了变量% 为 xi。 例如， func='2*x1+3*x2' 表示这是一个优化问题% 两个变量。 % % [xbest,fit] = fodpso(func) % fit - 使用 xbest 解决方案返回 func 的优化值。 % % [xbest,fit] = fodpso(func,xmin) % xmin - xi 的最小值。 size(xmin,2)=xi 变量的数量。 默认% -100。 % % [xbest,fit]

本文研究了分数阶简化Lorenz超混沌系统的动力学。 将改进的Adams-Bashforth-Moulton方法应用于数值模拟。 识别出混沌区域和周期性窗口。 通过相图，分叉图和最大的Lyapunov指数，显示了到混沌路径的不同类型的运动。 产生混沌的最低分数阶是3.8584。 通过采用主动控制方法，实现了两个分数阶简化的Lorenz超混沌系统之间的同步。 通过改变误差系统的分数阶，特征值和特征值标准偏差来研究同步性能。

此文件是关于分数阶PID控制的程序，包含两个文件，一个是main.m，一个是function文件。被控对象是一个二阶非线性系统。程序中有备注，如果有问题也可以私信我。希望能帮助到大家。

Mathematical programming has know a spectacular diversification in the last few decades. This process has happened both at the level of mathematical research and at the level of the applications generated by the solution methods that were created. To write a monograph dedicated to a certain domain of mathematical programming is, under suchcircumstances,especially difficult. In the present monograph we opt for the domain of fractional programming. Interest of this subject was generated by the fact that various optimization problems from engineering and economics consider the minimization of a ratio between physical and/or economical functions, for example cost/time, cost/volume,cost/profit, or other quantities that measure the efficiency of a system. For example, the productivity of industrial systems, defined as the ratio between the realized services in a system within a given period of time and the utilized resources, is used as one of the best indicators of the quality of their operation. Such problems, where the objective function appears as a ratio of functions, constitute fractional programming problem. Due to its importance in modeling various decision processes in management science, operational research, and economics, and also due to its frequent appearance in other problems that are not necessarily economical, such as information theory, numerical analysis, stochastic programming, decomposition algorithms for large linear systems, etc., the fractional programming method has received particular attention in the last three decades. ,解压密码 share.weimo.info

分数阶微分、分数阶积分、已经分数阶微分方程的matlab编程实现，不太长，一共28页，请按需下载。

Adaptive Impulsive Noise Control Algorithms based on The Fractional Lower-order Statistics

将能够增强图像纹理信息的分数阶微分算子与变分偏微分方程相结合，运用于图像去噪，提出一种基于分数阶偏微分算子的去噪模型。该模型能够在抑制噪声的同时，更好地保持图像的纹理细节信息。由于分数阶微分算子的阶数必须通过大量的实验人为确定，因此选择通过计算局部方差来反应图像局部纹理复杂度，自适应地确定分数阶微分的阶数。实验表明：自适应分数阶偏微分算子不仅继承了TV模型的优点，并且在保持图像细节信息上的能力更强。

Application of the local fractional series expansion method and the variational iteration method to the Helmholtz equation involving local fractional derivative operators

matlab处理分数阶傅里叶变换的代码，采用离散数值化处理，速度快，收敛性好