longjidiscovery, Author at Longji Discovery

BDC Motor Speed Control_RunTest

Brushed DC Motor Speed Control_PID

Quick Menu At first, we sample $f(x)$ in the $N$ ($N$ is odd) equidistant points around $x^*$:[ f_k = f(x_k),: x_k = x^*+kh,: k=-frac{N-1}{2},dots,frac{N-1}{2}]where $h$ is some step.Then we interpolate points ${(x_k,f_k)}$ by polynomial begin{equation} label{eq:poly} P_{N-1}(x)=sum_{j=0}^{N-1}{a_jx^j}end{equation}Its coefficients ${a_j}$ are found as a solution of system of linear equations:begin{equation} label{eq:sys} left{ P_{N-1}(x_k) = f_kright},quad k=-frac{N-1}{2},dots,frac{N-1}{2}end{equation}Here are references to existing equations: (ref{eq:poly}), (ref{eq:sys}).Here is reference to non-existing equation (ref{eq:unknown}).

BDC Motor Speed Control_C# Windows Application

C# Motor Speed Control with Arduino Via Serial

This Program was created to send and receive data from an Arduino microcontroller via serial communication. it allows user to visually inspect the effectiveness of a discrete time PID motor speed controller.

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[latexpage]At first, we sample $f(x)$ in the $N$ ($N$ is odd) equidistant points around $x^*$:\[ f_k = f(x_k),\: x_k = x^*+kh,\: k=-\frac{N-1}{2},\dots,\frac{N-1}{2}\]where $h$ is some step.Then we interpolate points $\{(x_k,f_k)\}$ by polynomial \begin{equation} \label{eq:poly} P_{N-1}(x)=\sum_{j=0}^{N-1}{a_jx^j}\end{equation}Its coefficients $\{a_j\}$ are found as a solution of system of linear equations:\begin{equation} \label{eq:sys} \left\{ P_{N-1}(x_k) = f_k\right\},\quad k=-\frac{N-1}{2},\dots,\frac{N-1}{2}\end{equation}Here are references to existing equations: (\ref{eq:poly}), (\ref{eq:sys}).Here is reference to non-existing equation (\ref{eq:unknown}).