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Welcome to the world of nonlinear behaviours. Today we introduce: - limit cycles - regions of attraction - systems with multiple ...

... again it's because of this large Basin of Attraction for the nonlinear controller that the vehicles are robust to perturbations like the ...

This video discusses optimal nonlinear control using the Hamilton Jacobi Bellman (HJB) equation, and how to solve this using ...

Lecture 2.4: Lyapunov Stability Theorem Equilibrium points: https://youtu.be/mFZNnLykODA Stability definition - Part 1: ...

Sliding mode control is a nonlinear control law that has a few nice properties, such as robustness to uncertainties and ...

Why go through the trouble of linearizing a model? To paraphrase Richard Feynman, it's because we know how to solve linear ...

This lecture provides an overview of model predictive control (MPC), which is one of the most powerful and general control ...

Lecture 2.3: Stability via linearization 0:00 Introduction 0:18 Review of linear system stability 0:50 Example: Linear system 2:04 ...

Here I describe the point of linear controls and why we have to use adaptive control in certain instances.

Lecture 3.2: Region of attraction Lyapunov Stability Theorem: https://youtu.be/Fb6XY-cTivo 0:00 Introduction 0:18 Motivation 1:40 ...

Content of the book "Introduction to Nonlinear Control: Stability, Control Design, and Estimation" (C. M. Kellett & P. Braun) ...

Short introduction of a concept known as a phase-plane plot.

Lecture 1.4: Stability definition - Part 2 Stability definition - Part 1: https://youtu.be/xHmQ6PiH_Ck 0:00 Introduction 0:20 Stability ...

Topics covered : 00:35 "Nonlinear" in control system sense 00:50 Why nonlinear systems 01:49 Difference with linear system ...

This video contains content of the book "Introduction to Nonlinear Control: Stability, Control Design, and Estimation" (C. M. Kellett ...

Lecture 2.2: Linearization 0:00 Introduction 0:15 Why? 1:14 Around which point should we linearize a system? 2:50 How to ...

Introduction: Applied Nonlinear Dynamics and Nonlinear Control.

Lecture 3.1: LaSalle's Theorem Lyapunov Stability Theorem: https://youtu.be/Fb6XY-cTivo Region of attraction: ...

This video continues our discussion on control systems in practice by talking about a simple form of nonlinear control: gain ...

This video contains content of the book "Introduction to Nonlinear Control: Stability, Control Design, and Estimation" (C. M. Kellett ...