Motivation for Full-State Estimation [Control Bootcamp]

This video discusses the need for full-state estimation. In particular, if we want to use full-state feedback (e.g., LQR), but only have limited measurements of the system, it is necessary...

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Control Bootcamp: Cruise Control Example with Proportional-Integral (PI) co...

In this video, we show that introducing integral control reduces the steady-state tracking error to zero in the cruise control example. We also use a more sophisticated model for the...

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Lecture 2: LTI Systems, Laplace Transform Review and Transfer Function

In this video, Linear Time Invariant [LTI] Systems have been discussed, a review of Laplace Transforms have been done and the concept of transfer function is... See More

The Root Locus Method - Introduction

This Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to...

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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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Lecture 7: More on Signal Flow Graphs and Block Diagram Reduction

In this video lesson, extra problems on SFGs are considered, how to obtain an SFG from a block diagram is explained with the help of armature controlled dc m... See More

Practical Implementation Issues with a Full State Feedback Controller

In this video we investigate practical implementation issues that may arise when attempting to use a full state feedback controller on a real system. We ill...

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Matrix Completion and the Netflix Prize

This video describes how the singular value decomposition (SVD) can be used for matrix completion and recommender systems.

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Time domain - tutorial 7: system properties

In this video, we cover system properties. The concept of memoryless, causal, stable, invertible, time-invariant and linear systems is intuitively explained...

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Peter Ponders PID - Simulation Methods, Which is Best?

This video compares 3 methods for doing simulations. Laplace transforms, state space and differential equations are compared examining their different adv... See More

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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Control Bootcamp: Three Equivalent Representations of Linear Systems

This video explores three equivalent representations of linear systems: State-space ODEs, Frequency domain transfer functions, and Time-domain impulse response convolution.

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Time domain - tutorial 10: interconnection of LTI systems

In this video, we learn how to connect LTI systems to make a bigger system. The learning objectives are to:1) get familiar with parallel and series intercon...

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Peter Ponders PID - System Identification Basics

Transfer functions don't come with the machine you are trying to control. Transfer functions must be estimated using system identification techniques. With... 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.

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Machine Learning Goals

This lecture discusses the high-level goals of machine learning, and what we want out of our models. Goals include speed and accuracy, along with interpretability, generalizability...

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Closed Loop Feedback Control

Intro to closed loop (feedback) control motivation, theory, block diagrams and block diagram algebra, and PID controllers

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TikZ source Code: Dashed box

TikZ source Code: Dashed box

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Fourier Series: Part 2

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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Neural Networks and Deep Learning

This lecture explores the recent explosion of interest in neural networks and deep learning in the context of 1) vast and increasing data sets, and 2) rapidly improving computational...

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Bode Plot Gain and Phase Margin Determination

I'll show you how we can determine the Gain and Phase Margin from a Bode Plot (at some fixed controller gain).

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TikZ source Code: Switching Manifold

TikZ source Code: Switching Manifold

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Lecture 11: Transient Response and Numerical Problems

A review of time response of 2nd order underdamped systems is done. The effect of moving closed loop poles in different directions in the s-plane are also di... See More

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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The Taylor Series

In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approx...

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