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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Using a Homogeneous Transformation Matrix to Combine Rotation and Translatio...

In this video we discuss how to properly deal with coordinate frames that are both rotated and translated from one another. We develop a homogeneous transfo...

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Digital Twins

This lecture discusses the use of data-driven digital twins in advanced model-based design and engineering, and the related digital thread, which ties together the data throughout an entire...

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Discrete control #5: The bilinear transform

This is video number five on discrete control and here, we’re going to cover the famous and useful bilinear transform. The bilinear transform is yet another method for converting, or mapping...

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Resonant Frequency of a Dynamic System

In this video we discuss the resonant frequency of a dynamic system. We show how the resonant frequency, natural frequency, and damped natural frequency are...

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Fourier Series: Part 1

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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Understanding Sensor Fusion and Tracking, Part 5: How to Track Multiple Obje...

This video describes two common problems that arise when tracking multiple objects: data association and track maintenance. We cover a few ways to solve these issues and provide a general...

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Solving the 1D Heat Equation

In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solving the result...

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The Laplace Transform - A Graphical Approach

A lot of books cover how to perform a Laplace Transform to solve differential equations. This video tries to show graphically what the Laplace Transform is doing and why figuring out the...

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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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Peter Ponders PID - KalmanFilters, Alpha-Beta-Gamma filters

A Kalman filter example with all the math is used to estimate the position, velocity and acceleration after corrupting perfect data with measurement and pro... See More

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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Peter Ponders PID - System Identification Advanced

System Identification of a more complex system with noise and truncation errors. This is the same open loop transfer function used in the root locus videohtt... See More

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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Understanding Model Predictive Control, Part 7: Adaptive MPC Design with Sim...

In this video, you will learn how to design an adaptive MPC controller for an autonomous steering vehicle system whose dynamics change with respect to the longitudinal velocity. After you...

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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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PID Control with Posicast Control 8 - ( In English )

This is the follow up of PID Control with Posicast ( Part II )

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Understanding PID Control, Part 2: Expanding Beyond a Simple Integral

The first video in this series described a PID controller, and it showed how each of the three branches help control your system.That seemed simple enough and appeared to work. However, in...

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Predicting Second Order Transfer Function Behavior

Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.

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Introduction to System Stability and Control

This video attempts to provide an intuitive understanding of concepts like stability and stability margin. I briefly describe both of these topics with examples and explain how you can...

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Standard 2nd Order ODEs: Natural Frequency and Damping Ratio

In this video we discuss writing 2nd order ODEs in standard form xdd(t)+2*zeta*wn*xd(t)+wn^2*x(t)where zeta = damping ratio wn = natural ...

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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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Control Bootcamp: Sensitivity and Robustness

Here we show that peaks in the sensitivity function result in a lack of robustness.

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Numerically Solving Partial Differential Equations

In this video we show how to numerically solve partial differential equations by numerically approximating partial derivatives using the finite difference me...

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