Controllability and the Discrete-Time Impulse Response [Control Bootcamp]

This lecture derives the impulse response for a discrete-time system and relates this to the controllability matrix.

See More

Control systems with non-minimum phase dynamics

This video describes control systems that have non-minimum phase dynamics, characterized by a zero of the input--output transfer function in the right-half-plane. Physically, these systems...

See More

Homogeneous Linear Ordinary Differential Equations

In this video we discuss how to solve homogeneous linear ordinary differential equations (ODEs). The approach outlined in this lecture is applicable to high...

See More

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...

See More

The Inverse Laplace Transform

In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...

See More

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...

See More

Sketching Root Locus Part 2

This is the second part of how to sketch a root locus by hand. However instead of following the normal rules for sketching a locus that you'd see in a book, I decided to explain the rules...

See More

Final Value Theorem

In this video we discuss the Final Value Theorem. Given a signal in the Laplace domain, this allows us to predict the steady state value of the signal in th...

See More

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...

See More

Heat Transfer Demonstration

In this video we demonstrate heat transfer through a metal bar. By heating one side of the bar we can impose a non-uniform temperature distribution across t...

See More

TUTORIAL on Stability and Routh Hurwitz criterion

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

Time domain - tutorial 5: signal properties

In this video, we learn about some special signals which are symmetric around the y-axis (even) or around the origin (odd) . Then we talk about periodic sign...

See More

Lecture 25: Nyquist stability criterion

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

Frequency domain – tutorial 10: modulation

In this video, we learn about modulation technique which is commonly used in communication systems to send information from transmitter to receiver. The foll...

See More

SVD Method of Snapshots

This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.

See More

Routh Stability Criterion Intro and Example

I introduce and walk through an example problem of how we can use the Routh Stability Criterion to rigorously determine the necessary and sufficient conditio...

See More

Control Bootcamp: Loop Shaping Example for Cruise Control

This video demonstrates loop shaping on the cruise control model.

See More

IMC Design of an Unstable Process Example

In this video, I cover how we can use IMC method to rigorously design a controller for an inherently unstable process (has a positive pole).

See More

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...

See More

Understanding Model Predictive Control, Part 2: What is MPC?

Learn how model predictive control (MPC) works. Using a simple car example, this video provides insight into an MPC controller’s strategy for finding the optimal steering wheel angle to...

See More

Relative Gain Array RGA and Input Output Pairing

The RGA is a tool used by process engineers to determine how to pair inputs and outputs during controller design to strive for better performance and robustn...

See More

Data Preprocessing and the Short-Time Fourier Transform | Deep Learning for ...

Data in its raw form might not be ideal for training a network. There are some changes we can make to the data that are often desired or sometimes necessary in order to make training faster...

See More

Standard HW Problem #1: PID and Root Locus

A walk through of a typical homework problem using the root locus method to tune a PID controller. This is the first in what may be a series of homework style problems I'll cover. This is...

See More

Control Bootcamp: Benefits of Feedback on Cruise Control Example

Here we investigate the benefits of feedback for systems with uncertain dynamics and disturbances, as illustrated on a cruise control example.

See More

How to Land on a Planet (and how it'll be done in the future!)

This video covers the basic ideas behind how engineers develop the algorithms that allow autonomous robots to land on other planetary bodies.

See More