First Order Dynamics in Process Control

An overview on the identification and behavior of first order dynamics in process control.

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Reachability and Controllability with Cayley-Hamilton [Control Bootcamp]

Here we use the Cayley-Hamilton Theorem to show that the full state space is reachable if and only if the system is controllable.

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Numerically Linearizing a Dynamic System

In this video we show how to linearize a dynamic system using numerical techniques. In other words, the linearization process does not require an analytical...

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Data-Driven Control: ERA and the Discrete-Time Impulse Response

In this lecture, we describe how the discrete-time impulse response is used in the eigensystem realization algorithm (ERA).

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Stanford CS234: Reinforcement Learning | Winter 2019 | Lecture 11 - Fast Rei...

Professor Emma Brunskill
Assistant Professor, Computer Science
Stanford AI for Human Impact Lab
Stanford Artificial Intelligence Lab
Statistical Machine Learning Group

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The Laplace Transform

In this video we show how to perform the Laplace transform on a signal in the time domain to obtain its equivalent representation in the Laplace domain. Top...

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Peter Ponders PID - Controlling an Under Damp Mass and Spring System

Demonstrates:How to calculate the PID gains. The importance of the derivative gain. How to simulate the mass and spring systemControl limitations based on s...

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Drone Simulation and Control, Part 2: How Do You Get a Drone to Hover?

In the last video, we showed we can manipulate the four motors of a quadcopter to maneuver it in 3D space by getting it to roll, pitch, yaw, and change its thrust. We also covered the four...

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Understanding Sensor Fusion and Tracking, Part 4: Tracking a Single Object W...

This video describes how we can improve tracking a single object by estimating state with an interacting multiple model filter. We will build up some intuition about the IMM filter and show...

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DC Gain

In this video we discuss the DC gain of a dynamic system.Topics and time stamps:(0:12) – Introduction to DC gain(7:04) – Derivation of DC gain(11:49) – Relat...

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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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Peter Ponders PID - System Identification Advanced

System Identification of a more complex system with noise and truncation errors. This is the same open loop transfer function used in the root locus videohtt... See More

Introduction to the Fourier Transform (Part 2)

This video is the second part of the introduction to the Fourier Transform. I address an error that I made in the first video concerning the scaling term of the transform. I also try to...

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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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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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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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Singular Value Decomposition (SVD): Mathematical Overview

This video presents a mathematical overview of the singular value decomposition (SVD).

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Expressing Vectors in Different Frames Using Rotation Matrices

In this video we develop notation to express a vector in different reference/coordinate frames. We then investigate how to use rotation matrices to translate from a vector expressed in one...

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An efficient orientation filter for inertial and inertial/magnetic sensor ar...

This report presents a novel orientation filter applicable to IMUs consisting of tri-axis gyroscopes and accelerometers, and MARG sensor arrays that also include tri-axis magnetometers. The...

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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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Coriolis Effect Demonstration (with Drones)

We demonstrate how rotating reference frames give rise to the Coriolis effect and centrifugal acceleration. In this video, we approach this as a simple physics demonstration and examine...

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Control Bootcamp: Loop Shaping Example for Cruise Control

This video demonstrates loop shaping on the cruise control model.

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Finding Transfer Functions from Response Graphs

Given a system response to a unit step change, in this video I'll cover how we can derive the transfer function so we can predict how our system will respond...

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Lectures on Adaptive Control and Learning by Tansel Yucelen

A serie of lectures on the topic of adaptive controllers.

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Second Order Dynamics Example

How will a second order process respond in the time domain when subjected to a unit step input? What other behaviors can we expect to see and why? Tune in to...

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