Stability and Eigenvalues [Control Bootcamp]

Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...

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Understanding Sensor Fusion and Tracking, Part 3: Fusing a GPS and IMU to Es...

This video continues our discussion on using sensor fusion for positioning and localization by showing how we can use a GPS and an IMU to estimate and object’s orientation and position. We...

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Derivation of the 2D Wave Equation

In this video we derive the 2D wave equation. This partial differential equation governs the motion of waves in a plane and is applicable for thin vibrating...

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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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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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Frequency domain – tutorial 6: Fourier transform tables

In this video, we learn about Fourier transform tables which enable us to quickly travel from time to the frequency domain. The main learning objective is to...

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Tuning a Fuzzy Logic Controller with Data | Fuzzy Logic, Part 4

This video covers the basics of data-driven approaches to tuning fuzzy inference systems. See what it means to find an optimal solution, which fuzzy inference parameters are being tuned...

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Course Introduction (Signal Processing 101)

Learn Signal Processing 101 in 31 lectures covering time, frequency and Laplace domain in about 8 hours all together:https://www.youtube.com/watch?v=KZd68xga...

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Basic Control Lectures

Systems approach, understanding and describing the operation of systems and methods of controlling them are among the basic knowledge of engineering education. But understanding the main...

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Lecture 13: Stability and Routh Hurwitz criterion

In this video, stability of LTI systems has been discussed. BIBO stability has also been explained. Further, Routh Hurwitz criterion is also explained See More

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

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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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

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

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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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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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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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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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...

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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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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...

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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...

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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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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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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...

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