Introduction to Ordinary Differential Equations

In this video we introduce the concept of ordinary differential equations (ODEs). We give examples of how these appear in science and engineering as well as...

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Peter Ponders PID - LQR Optimizing Two Outputs

To make this LQR video different I use LQR to control two output and find the best 'compromise' between controlling the level and temperature in a mixing tan... See More

Lecture 16: More on Root Locus and Gain Compensation

Extra numerical problems using Root locus is discussed in this video. Then follows, Gain compensation using Root Locus See More

Cartesian, Polar, Cylindrical, and Spherical Coordinates

In this video we discuss Cartesian, Polar, Cylindrical, and Spherical coordinates as well as develop forward and reverse transformations to go from one coord...

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Peter Ponders PID - Controlling a non-integrating single pole system. Part 3...

Part 3 uses PI control which is the only practical means of control a non-integrating single pole system.http://deltamotion.comhttp://forum.deltamotion.com

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Lecture 23: Bode plots

Discusses Bode plots and Bode plots for some common factors in a transfer function See More

Root Locus Plot: Common Questions and Answers

In this video I go through some of the common questions I've received on my other root locus videos. 1) Why do we call the poles of a system the roots?2) How do I plot the damping ratio...

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Time Domain Analysis with Matlab: Using the Linear System Analyzer

In this video we explore various Matlab functions and workflows to perform time domain analysis of a dynamic system. This includes the use of ‘tf’, ‘step’, ...

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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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Control Bootcamp: Loop shaping

This video explores shaping the loop transfer function to have desirable sensitivity and complementary sensitivity.

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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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Stability of Closed Loop Control Systems

This video explains why we need design tools like the Routh-Hurwitz Criterion, Bode Plots, Nyquist Plots, and Root Locus. This is an introduction into the difficulties of determining the...

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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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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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Control Bootcamp: Observability

This video explores the observability of a linear system, namely the ability to estimate the full state "x(t)" from a time-history of limited output measurements "y(t)".

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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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Fourier Series: Part 2

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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Lecture 5: Block Diagram Reduction

Reduction of block diagrams sing block diagram algebra is discussed in this video See More

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 - Cascade Control Part2

The inner loop pole locations and gains are calculated first so the inner loop pole locations are determined by the user. The outer loop poles are still pla...

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Lecture 3: Electrical and Mechanical System Transfer Functions

Transfer functions for electrical networks and mechanical systems (translational and rotational) are explained in this video 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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SOPDT Sliding Mode Control ( SMC ) with Smith Predictor

I made this simulation SMC with Smith predictor just to see how it would work. I am not a process control guy but so many people struggle with temperature c... See More