Control Bootcamp: Full-State Estimation

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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SOPDT Sliding Mode Control ( SMC ) with Smith Predictor

I made this simulation SMC with Smith predictor just to see how it would work. I am not a process control guy but so many people struggle with temperature c... See More

Simulating the Lorenz System in Matlab

This video shows how simple it is to simulate dynamical systems, such as the Lorenz system, in Matlab, using ode45.

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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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SVD and Optimal Truncation

This video describes how to truncate the singular value decomposition (SVD) for matrix approximation.

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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 Frobenius Norm for Matrices

This video describes the Frobenius norm for matrices as related to the singular value decomposition (SVD).

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Vector Derivatives (the Equation of Coriolis) and the Angular Velocity Vecto...

In this video we develop the Equation of Coriolis which describes how a vector in a rotating reference frame changes from the perspective of an observer in a non-rotating reference frame. We...

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PID Control with Posicast Control 8 - ( In English )

This is the follow up of PID Control with Posicast ( Part II )

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Lecture 17: Introduction to Compensators/Controllers

This video introduces compensators or controllers. The 3 basic control actions - proportional, derivative and integral - have been discussed. Also discussed ... See More

Control Systems Lectures - Time and Frequency Domain

This lecture introduces the time and frequency domains. A very quick description of the Laplace Transform is given which will be the base of many of classical control lectures in the future...

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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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Koopman Spectral Analysis (Representations)

In this video, we explore how to obtain finite-dimensional representations of the Koopman operator from data, using regression.

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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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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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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.

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Neural Networks: Caveats

This lecture discusses some key limitations of neural networks and suggests avenues of ongoing development.

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Time domain - tutorial 3: signal transformations

In this video, we learn how different transformations can change the signal shape. Specifically, we cover time shifting & scaling as well as amplitude shift...

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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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FIR Filter Design and Software Implementation

FIR (Finite Impulse Response) filter theory, design, and software implementation. Real-time software implementation on a custom STM32-based PCB. Overview of digital filtering, use-cases...

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Data-Driven Control: Balancing Example

In this lecture, we give an example of how a change of coordinates can balance the controllability and observability of an input—output system.

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Understanding PID Control, Part 3: Expanding Beyond a Simple Derivative

This video describes how to make an ideal PID controller more robust when controlling real systems that don’t behave like ideal linear models. Noise is generated by sensors and is present in...

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Frequency domain – tutorial 7: Fourier transform examples marathon

In this video, we solve lots of lots examples to practice how to quickly find Fourier transform using table of pairs and properties. The learning objective i...

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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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Discrete control #1: Introduction and overview

So far I have only addressed designing control systems using the frequency domain, and only with continuous systems. That is, we’ve been working in the S domain with transfer functions. We...

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