Undamped Linear Harmonic Oscillator
by In this lecture, we introduce the concept of harmonic oscillators. We derive an equation of motion of a harmonic oscillator and derive an analytical solution. …
Dynamics Lecture: Simple Pendulum – Equations of Motion and Solution of Ordinary Differential Equations Using MATLAB
In this lecture, you will learn to sketch free-body and kinetic diagrams of a simple pendulum. Furthermore, you will learn to develop the equation of …
Incremental Rotary Encoders with Raspberry Pi – LPD3806 – 600BM
In this post, we explain how to connect a low-cost incremental rotary encoder (LPD3806-600BM) to a Raspberry Pi microcontroller. We provide detailed instructions with a …
PID Controller Discretization and Implementation in Arduino
In this post, we explain how to discretize and implement a Proportional Integral Derivative (PID), controller. To demonstrate the PID controller implementation, we use a …
Control Systems Lecture: Laplace Transform
In this post, we introduce an important numerical tool for analyzing and designing control systems. The name of this numerical tool is the Laplace transform. …
Control Systems Lecture: Simulation of linear ordinary differential equations using Python and state-space modeling
In this post, we provide an introduction to state-space models and explain how to simulate linear ordinary differential equations (ODEs) using the Python programming language. …
Control Systems Lecture: DC motor state-space modeling and MATLAB’s Control System Toolbox simulations
In this post, we explain how to model a DC motor and to simulate control input and disturbance responses of such a motor using MATLAB’s …
Calibration and noise reduction of distance sensors (SHARP 2Y0A21 infrared sensors)
In this post, we consider the problems of calibration and noise reduction of distance sensors. In particular, we consider the class of InfraRed (IR) distance …
Intro to Machine Learning 1: Using TensorFlow (Keras) to Solve a Quadratic Equation
This post is the first post in a series of posts on the basic principles of machine learning and Phyton machine learning libraries. In this …
Fourier Series and Frequency Response
In this post, we introduce frequency responses of linear systems and provide a brief introduction to Fourier series. Most importantly, we perform a real physical …