SVD Method of Snapshots

This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.

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...

Control Bootcamp: Full-State Estimation

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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...

Stability and Eigenvalues [Control Bootcamp]

Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...

Unitary Transformations

This video discusses unitary matrix transformations and how they relate to the geometry of the singular value decomposition (SVD).

Peter Ponders PID - Why PID with 2nd Derivative Gain?

If you have ever tuned a hydraulic system and wondered why PID control didn't work better than PI control the answer is here. Since the 1980s people have kn...

Introduction to Bode Plots

In this video we introduce the concept of Bode plots including what they represent, how they are generated, as well as how to use Matlab tools to work with B...

Degrees of Controllability and Gramians [Control Bootcamp]

This lecture discusses degrees of controllability using the controllability Gramian and the singular value decomposition of the controllability matrix.

Linear Systems [Control Bootcamp]

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

TikZ source Code: RL Series

TikZ source Code for RL Series.

Control Bootcamp: Loop Shaping Example for Cruise Control

This video demonstrates loop shaping on the cruise control model.

TikZ source Code: Parallel interconnection of two systems

TikZ source Code: Parallel interconnection of two systems

Derivation of the 1D Wave Equation

In this video, we derive the 1D wave equation. This partial differential equation (PDE) applies to scenarios such as the vibrations of a continuous string. ...

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...

Data-Driven Control: ERA/OKID Example in Matlab

In this lecture, we explore the observer Kalman filter identification (OKID) and eigensystem realization algorithm (ERA) in Matlab on an example.

IIR Filters - Theory and Implementation (STM32)

Tutorial on IIR (Infinite Impulse Response) digital filters, including digital filtering overview, IIR filter theory, FIR vs IIR, Z-transform design/analysis, design using analogue...

TikZ source Code: Mobile Robot Wall

TikZ source Code: Mobile Robot Wall

Frequency domain – tutorial 12: FT of periodic signals

In this video, we learn how to find the Fourier transform for periodic signals. The following materials are covered:1) relation between Fourier transform and...

Vector Derivatives (the Equation of Coriolis) and the Angular Velocity Vecto...

In this video we develop the Equation of Coriolis which describes how a vector in a rotating reference frame changes from the perspective of an observer in a non-rotating reference frame. We...

Discrete-Time Dynamical Systems

This video shows how discrete-time dynamical systems may be induced from continuous-time systems.

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)".

PID Tuner

Tuning a PID controller can be easily done using a systematic procedure. PID Tuner just put it in a web application. No more trial and error. 

Use the step response data from your system...

Time domain - tutorial 6: elementary signals

In this video, we cover two elementary signals, unit step and unit impulse, which will be extensively used in this course. The following materials are covere...

Transfer Functions in Simulink for Process Control

An introduction on deriving transfer functions from a linearized state space model via Laplace Transforms, and how we can input transfer functions into Simul...