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

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 ...

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 ...

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

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

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

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

Control theory is a mathematical framework that gives us the tools to develop autonomous systems. Walk through all the different ...

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

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

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

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

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 1.2: Equilibrium points Modelling representations and state space modeling: https://youtu.be/ZBjPi_kjMZQ Equilibrium ...