IEEE30

说明：  倒立摆 Lqr控制，，有matlab仿真文件(Lqr inverted pendulum control, with matlab simulation file)

BP神经网络容易陷于局部极小值，PSO算法在无约束非线性函数优化方面性能优越，通常可以直接找寻到全局最优解，即使不能搜多到全局最优解，也距离全局最优点不远。当然，基本PSO算法陷入局部极值也是有的。对于这个缺点目前还没有找到比较有效、省市的解决方案。本案例实现利用PSO算法和BP算法共同训练神经网络，先将网络进行PSO算法训练，然后BP算法接着进行小范围精细搜索，PSO算法训练神经网络的本质就是将输出误差函数（即能量函数）看成目标函数，PSO对能量函数进行全局寻找最小值。(BP neural networks are prone to local minimum values. The PS algorithm has superior performance in the optimization of unconstrained nonlinear functions. It can usually find the global optimal solution directly. Even if it can not find more global optimal solutions, it is not far from the global best. Of course, there is also a local extreme of the basic PO algorithm. For this shortcoming, there is no more effective, provincial and municipal solution. This case realizes the use of the SO algorithm and the BP algorithm to train the neural network. First, the network is trained in the SO algorithm, and then the BP algorithm is followed by a small range of fine searches. The essence of the PO algorithm training neural network is to regard the output error function(ie, the energy function) as the objective function, and the PO seeks a global minimum value for the energy function.)

Matlab程序，包括爬山算法、黄金分割搜索、nabisect算法(Matlab procedures, including climbing algorithm, golden section search, nabisect algorithm)

creates chirp train, corresponding match filter impulse response

解决高维优化问题，解决多峰函数求极值的问题(solve n dimension )

实现svpwm逆变电路的方针输出，程序调试好用，波形理想(Policy to achieve svpwm inverter circuit output debugging easy, the ideal waveform)

说明：  用于变量的降维，是目前为止最好的降维方法，是比较常用的降维方法之一。(For variable dimension reduction)

有限元解决DIRLECT边界条件的POISSON方程(Finite element boundary conditions to solve the POISSON equation DIRLECT)

钢筋混凝土低周往复加载试验从滞回曲线提取骨架点(Skeleton point extraction of hysteresis curve)

插值与拟合的matlab实现，计算两个矩阵之间的欧氏距离，这个有中文注释，看得明白。( Interpolation and fitting matlab implementation, Calculation of the Euclidean distance between the two matrices, The Chinese have a comment, understand it.)