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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Control Bootcamp: Sensitivity and Complementary Sensitivity (Part 2)

Here we explore the sensitivity and complementary sensitivity functions, which are critical in understanding robustness and performance. (Part 2)

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Lecture 22: Frequency domain specifications for Second order system

In this session, frequency domain specifications for a prototype second order system has been derived. See More

Posicast Control 2 - ( In English )

This video is about the Half-Cycle Posicast. It includes some hints about how to simulate this type of control using Simulink

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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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Control Bootcamp: Laplace Transforms and the Transfer Function

Here we show how to compute the transfer function using the Laplace transform.

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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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Introduction to Deep Learning by Andrew NG [COMPLETE]

Andrew Ng's course on deep learning and neural networks.

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SVD: Image Compression [Matlab]

This video describes how to use the singular value decomposition (SVD) for image compression in Matlab.

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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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Frequency domain – tutorial 12: FT of periodic signals

In this video, we learn how to find the Fourier transform for periodic signals. The following materials are covered:1) relation between Fourier transform and...

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Peter Ponders PID. Second Order Plus Dead Time , SOPDT, Temperature Control,...

In this video I derive the equations for the controller gains and a low pass filter for a SOPDT system with a very long dead time To make the simulation mo...

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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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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...

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Time domain - tutorial 6: elementary signals

In this video, we cover two elementary signals, unit step and unit impulse, which will be extensively used in this course. The following materials are covere...

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Peter Ponders PID - Tank Level Control

How to control the level in tank 2 that is being feed by tank 1 that is also feed by a pump. The video shows how to compensate for non-linearities using dif... See More

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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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).

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Constraint Enforcement for Improved Safety | Learning-Based Control

Learn about the constraints of your system. Then see a how to enforce those constraints so the system does not violate them. Constraint enforcement is important for safety-critical...

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TikZ source Code: Two Interconnected RC Elements

TikZ source Code for two Interconnected RC Elements.

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Final Value Theorem and Steady State Error

This Final Value Theorem is a way we can determine what value the time domain function approaches at infinity but from the S-domain transfer function. This is very helpful when we're trying...

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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...

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TikZ source Code: Extremum Seeking Control Block Diagram (Krstic)

TikZ source Code: Extremum Seeking Control Block Diagram (Krstic)

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The Fast Fourier Transform (FFT)

Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time.

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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...

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