Solving the 2D Wave Equation

In this video, we solve the 2D wave equation. We utilize two successive separation of variables to solve this partial differential equation. Topics discuss...

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SVD: Importance of Alignment [Python]

This video describes the importance of aligning data when using the singular value decomposition (SVD) (Python code).

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TikZ source Code: Mobile Robot Wall

TikZ source Code: Mobile Robot Wall

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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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Laplace domain – tutorial 5: Inverse Laplace transform

In this video, we cover inverse Laplace transform which enables us to travel back from Laplace to the time domain. We will learn how to use simple tricks alo...

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Control Bootcamp: Loop Shaping Example for Cruise Control

This video demonstrates loop shaping on the cruise control model.

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IMC PID Design of a Second Order Process

IMC PID Design of a Second Order Process

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Lecture 2: LTI Systems, Laplace Transform Review and Transfer Function

In this video, Linear Time Invariant [LTI] Systems have been discussed, a review of Laplace Transforms have been done and the concept of transfer function is... See More

Frequency domain – tutorial 3: filtering (periodic signals)

In this video, we learn about filtering which enables us to manipulate the frequency content of a signal. A common filtering application is to preserve desi...

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Understanding Model Predictive Control, Part 2: What is MPC?

Learn how model predictive control (MPC) works. Using a simple car example, this video provides insight into an MPC controller’s strategy for finding the optimal steering wheel angle to...

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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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PID Control with Posicast Control 8 - ( In English )

This is the follow up of PID Control with Posicast ( Part II )

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A Nonlinear, 6 DOF Dynamic Model of an Aircraft: the Research Civil Aircraft...

In this video we develop a dynamic model of an aircraft by describing forces and moments generated by aerodynamic, propulsion, and gravity that act on the ai...

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Fuzzy Logic, Part 3: Design and Applications of a Fuzzy Logic Controller

This video walks you through the process of designing a fuzzy inference system that can balance a pole on a cart. You can design a fuzzy logic controller using just experience and intuition...

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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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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 - Simulation Methods, Which is Best?

This video compares 3 methods for doing simulations. Laplace transforms, state space and differential equations are compared examining their different adv... See More

Digital Twins

This lecture discusses the use of data-driven digital twins in advanced model-based design and engineering, and the related digital thread, which ties together the data throughout an entire...

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Lecture 23: Bode plots

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

Peter Ponders PID - System Identification Basics

Transfer functions don't come with the machine you are trying to control. Transfer functions must be estimated using system identification techniques. With... See More

Control Bootcamp: Benefits of Feedback on Cruise Control Example

Here we investigate the benefits of feedback for systems with uncertain dynamics and disturbances, as illustrated on a cruise control example.

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Time Domain Analysis: Performance Metrics for a First Order System

In this video we introduce the concept of time domain analysis for dynamic systems. We examine a first order dynamic system and derive how various performan...

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Cayley-Hamilton Theorem [Control Bootcamp]

Here we describe the Cayley-Hamilton Theorem, which states that every square matrix satisfies its own characteristic equation. This is very useful to prove results related to...

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TikZ source Code: Dashed box

TikZ source Code: Dashed box

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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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