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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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

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 - 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

The Routh-Hurwitz Stability Criterion

In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stabi...

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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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Understanding The Sensitivity Function

In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...

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Relationship Between Poles and Performance of a Dynamic System

In this video we establish the relationship between pole locations and associated performance of a dynamic system. This relationship is useful to translate ...

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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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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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Laplace domain – tutorial 2: Region of Convergence (ROC)

In this video, we learn five golden rules on how to quickly find the Region of Convergence (ROC) of Laplace transform. Learn Signal Processing 101 in 31 lect...

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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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Laplace domain – tutorial 3: Laplace transform tables

In this video, we cover Laplace transform tables which help us to quickly find Laplace and inverse Laplace transforms. The main learning objective is to full...

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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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Cascade Control Intro

How can we improve the disturbance rejection of our controllers using additional, relevant measurements? Tune in to find out!

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Control Systems Lectures - Closed Loop Control

This lecture discusses the differences between open loop and closed loop control.

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Predicting Second Order Transfer Function Behavior

Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.

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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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Standard 2nd Order ODEs: Natural Frequency and Damping Ratio

In this video we discuss writing 2nd order ODEs in standard form xdd(t)+2*zeta*wn*xd(t)+wn^2*x(t)where zeta = damping ratio wn = natural ...

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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