Control Bootcamp: Sensitivity and Robustness

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

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Degrees of Controllability and Gramians [Control Bootcamp]

This lecture discusses degrees of controllability using the controllability Gramian and the singular value decomposition of the controllability matrix.

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Using Root Locus to Meet Performance Requirements

In this video we investigate how to use the root locus technique to design a controller that meets certain performance specifications.Topics and timestamps:(...

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Control Bootcamp: Observability

This video explores the observability of a linear system, namely the ability to estimate the full state "x(t)" from a time-history of limited output measurements "y(t)".

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Derivation and Solution of Laplace’s Equation

In this video we show how the heat equation can be simplified to obtain Laplace’s equation. We investigate how to solve Laplace’s equation using separation ...

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Drone Simulation and Control, Part 5: Tuning the PID controller

In the last video, we learned how accurate, nonlinear models are great for simulation but they don’t lend themselves well to linear analysis and design. This video takes the nonlinear model...

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Frequency domain – tutorial 1: concept of frequency (with Chinese subtitle)

In this video, the following materials are covered:1) intuitive explanation on the frequency concept 2) what is the relation between time and frequency domai...

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Introductory course on aerial robotics, University of Pennsylvania

This course exposes you to the mechanics, design, control, and planning of robotic flight in 3 dimensional environments for micro-aerial vehicles, with an emphasis on quadrotors.

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The Fast Fourier Transform Algorithm

Here I discuss the Fast Fourier Transform (FFT) algorithm, one of the most important algorithms of all time.

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Frequency domain – tutorial 5: Fourier transform

In this video, we learn about Fourier transform which enables us to travel from time to frequency domain when a signal is not periodic. The learning objectiv...

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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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Lecture 31: Time response, Controllability and Observability

In this video, we discuss, how to find the solution of the state space equation. Also the concept of controllability and observability have been examined See More

Kalman Filter Tutorial

The Kalman Filter is an easy topic. However, many tutorials are not easy to understand. Most require extensive mathematical background which makes them difficult to understand. Also, most...

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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

Laplace Transforms to Derive Transfer Functions

Once we have a state space model, we will take a Laplace Transform to derive the transfer function to determine the response of an output relative to an inpu...

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Lecture 19: Lead and PD compensator Design using Root Locus

This video discusses how a Proportional Derivative [PD] controller and a Lead compensator can be designed using Root Locus See More

Direct Synthesis for PID Controller Design

What tuning parameters should you choose for your controller? The Direct Synthesis Model is one method control engineers use today to evaluate controller par...

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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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State Space Representation of Differential Equations

In this video we show how to represent differential equations (either linear or non-linear) in state space form. This is useful as it allows us to combine an...

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Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a Cart...

Here we design an optimal full-state feedback controller for the inverted pendulum on a cart example using the linear quadratic regulator (LQR). In Matlab, we find that this is a simple one...

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Gaussian/Normal Distributions

In this video we discuss the Gaussian (AKA Normal) probability distribution function. We show how it relates to the error function (erf) and discuss how to ...

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Machine Learning Control: Genetic Programming Control

This lecture discusses the use of genetic programming to manipulate turbulent fluid dynamics in experimental flow control.

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Bode Plots by Hand: Real 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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Introduction to Bode Plots

In this video we introduce the concept of Bode plots including what they represent, how they are generated, as well as how to use Matlab tools to work with B...

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Understanding Model Predictive Control, Part 6: How to Design an MPC Control...

Learn how to design an MPC controller for an autonomous vehicle steering system using Model Predictive Control Toolbox™. This video walks you through the design process of an MPC controller...

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