PID Control - A brief introduction

In this video, I introduce the topic of PID control. This is a short introduction design to prepare you for the next few lectures where I will go through several examples of PID control....

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Trimming a Model of a Dynamic System Using Numerical Optimization

In this video we show how to find a trim point of a dynamic system using numerical optimization techniques. We generate a cost function that corresponds to ...

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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

Controllability of a Linear System: The Controllability Matrix and the PBH T...

In this video we explore controllability of a linear system. We discuss two methods to test for controllability, the controllability matrix as well as the P...

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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

Routh-Hurwitz Criterion, Beyond Stability

This video explains of few uses of the Routh-Hurwitz Criterion that go beyond simply determining how many poles exist in the right half plane. I cover how to determine gain margin and how...

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Transfer Functions: Introduction and Implementation

In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to...

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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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Introduction to Partial Differential Equations

This is the first lesson in a multi-video discussion focused on partial differential equations (PDEs).In this video we introduce PDEs and compare them with o...

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Time domain - tutorial 4: transformation examples

In this video, we solve examples to practice different signal transformations using a systematic approach. By the end of this lecture, you should be able to ...

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Machine Learning Control: Genetic Programming

This lecture explores the use of genetic programming to simultaneously optimize the structure and parameters of an effective control law.

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Laplace domain – tutorial 6: Transfer function & system properties

In this video, we learn about transfer function and system properties. The following materials are covered:1) what is a transfer function?2) relation between...

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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 5: How To Run MPC Faster

This video starts by providing quick tips for implementing MPC for fast applications. If you need to further decrease the sample time for your fast applications, you can use explicit MPC...

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IMC PID Design of a Second Order Process

IMC PID Design of a Second Order Process

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Second Order Dynamics

A crash course overview on second order dynamics in the frequency domain, what the key parameters are, and why they matter.

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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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Equations of Motion for a Planar Vehicle

In this video we outline equations of motion for a simple planar vehicle. This model is suitable for vehicles such as boats or hovercraft that that are rest...

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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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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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Using a Homogeneous Transformation Matrix to Combine Rotation and Translatio...

In this video we discuss how to properly deal with coordinate frames that are both rotated and translated from one another. We develop a homogeneous transfo...

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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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Lecture 18: PI and Lag Compensator Design using Root Locus

The design of a Proportional Integral [PI] controller and a Lag compensator using Root Locus has been explained in this video. See More