The Routh-Hurwitz Stability Criterion

In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stabi...

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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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Peter Ponders PID - Cascade Control Part1

I cover whether cascade control is necessary. Why there needs to be a feed back for every loop. How to calculate gains. Bode plots and ratio of the inner t...

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TUTORIAL on Stability and Routh Hurwitz criterion

Numerical problems on Stability and Routh Hurwitz criterion have been discussed in this video. See More

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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Lecture 25: Nyquist stability criterion

Discusses some basic concepts, Principle of Argument and hence, Nyquist stability criterion See More

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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Unitary Transformations

This video discusses unitary matrix transformations and how they relate to the geometry of the singular value decomposition (SVD).

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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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Machine Learning and Cross-Validation

This lecture discusses the importance of cross-validation to assess models obtained via machine learning.

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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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Bode Plots by Hand: Complex Poles or Zeros

This is a continuation of the Control Systems Lectures. This video describes the benefit of being able to approximate a Bode plot by hand and explains what a Bode plot looks like for a...

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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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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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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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Drone Simulation and Control, Part 2: How Do You Get a Drone to Hover?

In the last video, we showed we can manipulate the four motors of a quadcopter to maneuver it in 3D space by getting it to roll, pitch, yaw, and change its thrust. We also covered the four...

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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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Introduction to the Fourier Transform (Part 1)

This video is an introduction to the Fourier Transform. I try to give a little bit of background into what the transform does and then I go step by step through explaining the Inverse...

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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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Peter Ponders PID - Closed Loop Zeros

This video covers closed loop zeros, what causes zeros and the benefits and drawbacks of closed loop zeros.

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Control Systems with MATLAB - Time Domain Analysis

Time domain analysis has been carried out using MATLAB in this video. Second order systems have been discussed in detail. How to obtain different time domain... See More

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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Peter Ponders PID- Motor position control

Symbolic pole placement is used to place the poles on the negative real axis in the s-domain so that the response never overshoots. See More

Lecture 17: Introduction to Compensators/Controllers

This video introduces compensators or controllers. The 3 basic control actions - proportional, derivative and integral - have been discussed. Also discussed ... See More