Tuning a Fuzzy Logic Controller with Data | Fuzzy Logic, Part 4
18 min
Beginner
Video
Theory
This video covers the basics of data-driven approaches to tuning fuzzy inference systems. See what it means to find an optimal solution, which fuzzy inference parameters are being tuned...
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Understanding PID Control, Part 3: Expanding Beyond a Simple Derivative
11 min
Beginner
Video
Theory
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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Posicast Control 6 - ( In English)
12 min
Beginner
Video
Theory
This video presents the transition from half-cycle to other cycles ( third-cycle, fourth-cycle,..)
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State Space Representation of Differential Equations
69 min
Beginner
Video
Theory
In this video we show how to represent differential equations (either linear or non-linear) in state space form. This is useful as it allows us to combine an...
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Digital Twin Parameter Tuning
9 min
Beginner
Video
Theory
Learn how to tune the digital twin model of a pump system to its physical asset using Simulink Design Optimization™. You can use measured data collected from the physical system to tune the...
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Computing Euler Angles: The Euler Kinematical Equations and Poisson’s Kinema...
79 min
Beginner
Video
Theory
In this video we discuss how the time rate of change of the Euler angles are related to the angular velocity vector of the vehicle. This allows us to design...
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Control Bootcamp: Sensitivity and Robustness
9 min
Beginner
Video
Theory
Here we show that peaks in the sensitivity function result in a lack of robustness.
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Bode Plots by Hand: Poles and Zeros at the Origin
8 min
Beginner
Video
Theory
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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Bandwidth of a Dynamic System
30 min
Beginner
Video
Theory
In this video we discuss the definition and physical meaning of the bandwidth of a dynamic system. We’ll see that this is a performance metric that is used ...
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Peter Ponders PID-Fuzzy Logic vs PID
10 min
Beginner
Video
Theory
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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Derivation of Rodrigues’ Rotation Formula
43 min
Beginner
Video
Theory
In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of ...
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Peter Ponders PID - T0P1 Part 4, Misc Topics
20 min
Beginner
Video
Theory
This video covers another way to compute symbolic gains, the difference between having the P gain act on the error or just the feedback, extending bandwidt...
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Drone Simulation and Control, Part 3: How to Build the Flight Code
18 min
Beginner
Video
Theory
This video describes how to create quadcopter flight software from the control architecture developed in the last video. It covers how to process the raw sensor readings and use them with...
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Frequency domain – tutorial 13: sampling (theory of everything in signal pro...
25 min
Beginner
Video
Theory
In this video, we learn about sampling which enables us to travel from analog to digital world. The following materials are covered:1) why traveling to the ...
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TikZ source Code: Feedback passivity index
Beginner
Source Code
Application
TikZ source Code: Feedback passivity index
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Fourier Analysis: Overview
7 min
Beginner
Video
Theory
This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the...
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Control Systems Lectures - LTI Systems
7 min
Beginner
Video
Theory
This lecture describes what it means when we say a system is linear and time invariant. I also try to give an example as to why these systems are so important when designing control systems...
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TikZ source Code: Lyapunov Lure
Beginner
Source Code
Application
TikZ source Code: Lyapunov Lure
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The Fourier Transform and Derivatives
10 min
Beginner
Video
Theory
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.
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Laplace domain – tutorial 6: Transfer function & system properties
24 min
Beginner
Video
Theory
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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Overview of Dempster-Shafer Theory (Evidence Theory)
Beginner
Article / Blog
Theory
This is an overview of Dempster-Shafer Theory (Evidence Theory) that provides an introduction, definition, basic information about combination rules, some issues with the theory, and the...
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Internal Model Control IMC Introduction
4 min
Beginner
Video
Theory
Internal Model Control IMC Introduction
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SVD Method of Snapshots
4 min
Beginner
Video
Theory
This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.
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First Order Dynamics in Process Control
15 min
Beginner
Video
Theory
An overview on the identification and behavior of first order dynamics in process control.
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Numerically Linearizing a Dynamic System
104 min
Beginner
Video
Theory
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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