8.14 系泊系统 工程分析

对一维光谱实现偏最小二乘回归进行UVE变量选择(UVE variable selection on the spectrum)

为了提高三级倒立摆系统控制的响应速度和稳定性,在设计Mamdani 型模糊推理规则控制器控制倒立摆系统稳定的基础上, 设计了一种更有效率的基于Sugeno 型模糊推理规则的模糊神经网络控制器。该控制器使用BP 神经网络和最小二乘法的混 合算法进行参数训练,能够准确归纳输入输出量的模糊隶属度函数和模糊逻辑规则。通过与Mamdani 型控制器的仿真对比, 表明该Sugeno 型模糊神经网络控制器对三级倒立摆系统的控制具有良好的稳定性和快速性,以及较高的控制精度。(In order to improve the three-level control of inverted pendulum system response speed and stability, in the design of Mamdani-type fuzzy inference rules of the system controller to control the stability of inverted pendulum on the basis of a more efficient design based on Sugeno-type fuzzy inference rules of fuzzy neural network controller. The controller is the use of BP neural network and hybrid least squares training algorithm parameters can be accurately summed up the amount of input and output fuzzy membership function and fuzzy logic rules. Mamdani-type controller with a simulation comparison shows that the Sugeno-type fuzzy neural network controller for the three-tier control of inverted pendulum system with good stability and fast, as well as a higher control precision.)

说明：  经典99行拓扑优化程序，采用Heaviside方程获得接近0-1离散解(The classical 99-line topology optimization program uses Heaviside equation to obtain nearly 0-1 discrete solution)

说明：  matlab的adi方法求解偏微分方程，精确度较高(ADI method of MATLAB for solving partial differential equations)

本程序实现了一个简单的非线性约束最优化问题，仅供参考(This program implements a simple nonlinear constrained optimization problems, for reference only)

用于计算锁模激光腔中增益饱和强度，用于锁模激光(For calculating the gain saturation intensity in a mode-locked laser cavity for a mode locke)

关于复数矩阵求导的一本经典书籍“Complex-valued_matrix_derivatives”的电子版(About the electronic version of the complex matrix derivation of a classic book " Complex-valued_matrix_derivatives" )

说明：  用C语言实现计算两个数字的最大公约数，代码简单简洁，适合初学者学习。(C language is used to calculate the maximum common divisor of two digits. The code is simple and concise. It is suitable for beginners to learn.)

矩阵排序，按照行排序。 例如 矩阵[ 1 2 3 4 5 4 1 3 2 1 3 5 6 9 7]排序后为： [ 1 2 3 4 5 3 5 6 9 7 4 1 3 2 1] (matrix row sort )

说明：  求解黎曼问题格式Roe格式FORTRAN编程(Solution of Riemannian problem format roe format FORTRAN programming)