Routh-Hurwitz Criterion, An Introduction

This video gives an introduction into the Routh-Hurwitz Criterion and the Routh Array. I also present a little background information in order to emphasize why the method was developed and...

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Controllability, Reachability, and Eigenvalue Placement [Control Bootcamp]

This lecture explains the equivalence of controllability, reachability, and the ability to arbitrarily place eigenvalues of the closed loop system.

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Randomized SVD Code [Matlab]

This video describes the randomized singular value decomposition (rSVD) (Matlab code).

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TikZ source Code: Sliding Mode Control Example System 1

TikZ source Code: Sliding Mode Control Example System 1

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Trimming a Simulink Model Using the Linear Analysis Tool

In this video we show how to use the Linear Analysis Tool to trim a non-linear Simulink model. This is also known as finding an operating point or an equili...

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Data-Driven Control: BPOD and Output Projection

In this lecture, we introduce the output projection for balancing proper orthogonal decomposition (BPOD), to reduce the number of adjoint simulations required when the number of measurements...

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SVD: Eigenfaces 3 [Python]

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Python code, part 3).

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What Is a Control System and Why Should I Care? (Part 2)

This talk gives a glimpse of some of the methods and math that allow us to understand feedback systems. Continuing on from Part 1, it gives a description of how we use scientific principles...

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Time Domain Analysis: Performance Metrics for a First Order System

In this video we introduce the concept of time domain analysis for dynamic systems. We examine a first order dynamic system and derive how various performan...

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Least Squares Regression and the SVD

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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Drawing the root locus (Interactive Tool)

This page was developed to help student learn how to sketch the root locus by hand. You can enter a numerator and denominator for G(s)H(s) (i.e., the loop gain) and the program will guide...

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Solving the 1D Wave Equation

In this video, we solve the 1D wave equation. We utilize the separation of variables method to solve this 2nd order, linear, homogeneous, partial differenti...

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Machine Learning Control: Genetic Algorithms

This lecture provides an overview of genetic algorithms, which can be used to tune the parameters of a control law.

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Euler (Gimbal Lock) Explained

In this video we explore Euler Rotations, the most common method for orienting objects in 3d. It's by-product "gimbal lock" can cause headaches for animators because the animated motion can...

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Time domain - tutorial 11: system properties from impulse response

In this video, we learn how to find system properties from the impulse response. Specifically, memoryless, causal, stable and invertible systems will be ful...

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Fourier Series [Python]

This video will describe how to compute the Fourier Series in Python.

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Velocity & Acceleration in Non-Inertial Reference Frames (Coriolis &...

In this video we derive a mathematical description of velocity and acceleration in non-inertial reference frame. We examine the effect of fictitious forces that are witnessed by observers on...

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Understanding Model Predictive Control, Part 3: MPC Design Parameters

To successfully control a system using an MPC controller, you need to carefully select its design parameters. This video provides recommendations for choosing the controller sample time...

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An interactive feedforward tool for FeedForward Control

This interactive software tool is focused on basic and advanced concepts of feedforward control.

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Time domain - tutorial 2: signal representation

In this video, we review how to represent information as a signal. The information can be anything such as voice (1D) or an image (2D) or even a video (3D). ...

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Internal Model Control Example Problem

I walk through how to design a feedback controller based on a given process transfer function, using Internal Model Control.

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Frequency domain – tutorial 4: Gibbs phenomenon

In this video, we quickly review the Gibbs phenomenon which involves two facts:1) Fourier sums overshoot at a jump discontinuity2) overshoot does not disapp...

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Lecture 4: Electromechanical system Transfer functions and Analogous circuit...

The transfer function of a dc motor driving a mechanical load [an electromechanical system] has been derived following which a quarter car model is discussed... See More

Direct Synthesis Method Numerator Dynamics Problem

I walk through how to design a PID feedback controller when given a second order process with numerator dynamics, using the Direct Synthesis Method.

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Peter Ponders PID - Lead/lag closed loop control

Motor position control using a lead lag filter for closing the loop. The result is a motion that doesn't overshoot but has a little bit more lag than a PID.... See More