Gentle Introduction to Gradients and Level Curves (Surfaces)
by In this introductory optimization tutorial, we provide a gentle introduction to gradients and level curves (surfaces). Gradients are fundamental mathematical objects that appear in many …
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Easy-to-Understand Explanation of the Stochastic Gradient Descent Algorithm with Python Implementation from Scratch
In this tutorial, we provide an easy-to-understand explanation of the stochastic gradient descent algorithm. In addition, we explain how to implement this algorithm from scratch …
Calculate Magnitude and Phase of Transfer Functions and Practice Complex Number Transformations – Control Engineering Tutorials
In this control engineering tutorial, we explain how to calculate the magnitude and phase of transfer functions. Also, the purpose of this tutorial is to …
Bode Plots of Integral and Derivative Transfer Functions
In this control engineering tutorial, you will learn how to quickly sketch (draw) Bode plots of integral and derivative transfer functions. That is, you will …
Solve Optimization Problems in C/C++ by Using NLopt Library
In this tutorial, you will learn how to solve optimization problems in C/C++ by using the NLopt library. The YouTube tutorial accompanying this page is …
Intuitive Understanding of Lyapunov’s Stability Analysis – 1D Example
In this control engineering tutorial, we provide an intuitive understanding of Lyapunov’s stability analysis. The YouTube video accompanying this tutorial is given below. 1D Dynamical …
Simulink Simulation of Nonlinear Control Laws – Application to Feedback Linearization Control Law
In this tutorial, we explain how to simulate nonlinear control laws in Simulink and MATLAB. As an example, we use a feedback control law that …
Introduction to (Direct) Lyapunov Stability Analysis With Examples
In this control engineering and control theory tutorial, we provide a brief introduction to Lyapunov stability analysis. The YouTube tutorial accompanying this tutorial is given …
Install MicroBlaze Processor and Start with C/C++ Coding FPGAs in Vivado and Vitis
In this tutorial, we explain how to install MicroBlaze soft processor core in Vivado, and how to start with C/C++ coding of FPGAs in C/C++ …
Introduction to Feedback Linearization
In this tutorial, we provide an introduction to feedback linearization, and how this method can be used to elegantly derive controllers of dynamical systems. We …