Virtual Laboratory for Vibrations and Control Theory

This virtual lab developed in Matlab Simscape provides an innovative tool for learning and teaching fundamentals of mechanical vibrations including mass-spring-damper systems. 

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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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Data-Driven Control: ERA/OKID Example in Matlab

In this lecture, we explore the observer Kalman filter identification (OKID) and eigensystem realization algorithm (ERA) in Matlab on an example.

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SVD: Optimal Truncation [Matlab]

This video describes how to optimally truncate the singular value decomposition (SVD) for noisy data (Matlab code).

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Control Systems Lectures - Transfer Functions

This lecture describes transfer functions and how they are used to simplify modeling of dynamic systems.

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Understanding and Sketching Individual Bode Plot Components

In this video we illustrate how 7 types of simple transfer functions contribute to a bode plot. We refer to these as ‘components’ and will cover the followi...

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Discrete-Time Dynamical Systems

This video shows how discrete-time dynamical systems may be induced from continuous-time systems.

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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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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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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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MIT 6.S191: Introduction to Deep Learning

MIT's introductory course on deep learning methods with applications to computer vision, natural language processing, biology, and more! Students will gain foundational knowledge of deep...

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Frequency domain – tutorial 8: frequency spectra

In this video, we learn about frequency spectra which can be divided into two parts: phase and magnitude spectrum. Some examples will be provided to practice...

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Introduction to the Fourier Transform (Part 1)

This video is an introduction to the Fourier Transform. I try to give a little bit of background into what the transform does and then I go step by step through explaining the Inverse...

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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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Robust Principal Component Analysis (RPCA)

Robust statistics is essential for handling data with corruption or missing entries. This robust variant of principal component analysis (PCA) is now a workhorse algorithm in several fields...

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Frequency domain – tutorial 11: equalization

In this video, we learn about equalization technique which is used in communication systems to compensate for the destructive effect of the channel between t...

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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

Process Control Introduction

An overview on state variables, inputs (manipulated and disturbance variables), outputs (measured state variables), and an example on the balance equations w...

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Peter Ponders PID-Fuzzy Logic vs PID

There are many academic and engineering papers showing how good fuzzy logic control is relative to PID control. Every FL vs PID paper I have seen compares...

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