Feedback linearization is a common strategy employed in nonlinear control to control nonlinear systems. Feedback linearization techniques may be applied to nonlinear control systems of the form where is the state, are the inputs. The approach involves transforming a nonlinear control system into an equivalent linear control system through a change of variables and a suitable control input. In particular, one seeks a change of coordinates and control input so that the dynamics of in the coordinates take the form of a linear, controllable control system, An outer-loop control strategy for the resulting linear control system can then be applied to achieve the control objective. (Wikipedia).
Trimming and Linearization, Part 1: What Is Linearization?
Why go through the trouble of linearizing a model? To paraphrase Richard Feynman, it’s because we know how to solve linear systems. With a linear model we can more easily design a controller, assess stability, and understand the system dynamics. - Learn about linearization for model analys
From playlist Trimming and Linearization
An Introduction to Linear Regression Analysis
Tutorial introducing the idea of linear regression analysis and the least square method. Typically used in a statistics class. Playlist on Linear Regression http://www.youtube.com/course?list=ECF596A4043DBEAE9C Like us on: http://www.facebook.com/PartyMoreStudyLess Created by David Lon
From playlist Linear Regression.
(ML 9.2) Linear regression - Definition & Motivation
Linear regression arises naturally from a sequence of simple choices: discriminative model, Gaussian distributions, and linear functions. A playlist of these Machine Learning videos is available here: http://www.youtube.com/view_play_list?p=D0F06AA0D2E8FFBA
From playlist Machine Learning
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
Trimming and Linearization, Part 2: The Practical Side of Linearization
With a general understanding of linearization, you might run into a few snags when trying to linearize realistic nonlinear models. These snags can be avoided if you have a more practical understanding of how linearization is accomplished, and that’s what we’ll cover in this video. - Learn
From playlist Trimming and Linearization
Linearising nonlinear derivatives
A simple trick to linearise derivatives
From playlist Linearisation
Linear Transformations and Linear Systems
In this video we discuss linear transformations. We start by examining the mathematical definition of a linear transformation and apply it to several examples including matrix multiplication and differentiation. We then see how linear transformations relate to linear systems (AKA linear
From playlist Linear Algebra
Inverse Systems for LTI Systems Described by Difference Equations
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. z-transform analysis of inverse systems for linear constant-coefficient difference equations, including conditions for a stable and causal inverse s
From playlist The z-Transform
2. Effects of Feedback on Noise and Nonlinearities
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
EE102: Introduction to Signals & Systems, Lecture 19
These lectures are from the EE102, the Stanford course on signals and systems, taught by Stephen Boyd in the spring quarter of 1999. More information is available at https://web.stanford.edu/~boyd/ee102/
From playlist EE102: Introduction to Signals & Systems
Arthur Krener: "Al'brekht’s Method in Infinite Dimensions"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Al'brekht’s Method in Infinite Dimensions" Arthur Krener, Naval Postgraduate School Abstract: Al'brekht's method is a way optimally stabilize a finite dimens
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Showing something is a linear transformation Check out my Linear Equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmD_u31hoZ1D335sSKMvVQ90 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
From playlist Linear Transformations
For the latest information, please visit: http://www.wolfram.com Speaker: Suba Thomas In Mathematica 10, a full suite of functions for analyzing and designing nonlinear control systems was introduced. This talk showcases the workflow for designing controllers for nonlinear systems using
From playlist Wolfram Technology Conference 2014
Russell Tedrake: "From pixels to torques: output feedback for robotics"
Intersections between Control, Learning and Optimization 2020 "From pixels to torques: output feedback for robotics" Russel Tedrake - Massachusetts Institute of Technology Abstract: Time and time again, I have watched clever engineers design simple controllers for complex robots which (o
From playlist Intersections between Control, Learning and Optimization 2020
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Karl Kunisch: "Solution Concepts for Optimal Feedback Control of Nonlinear PDEs"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Solution Concepts for Optimal Feedback Control of Nonlinear Partial Differential Equations" Karl Kunisch, Universität Graz Abstract: Feedback control of nonl
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Lecture 6 | MIT 6.832 Underactuated Robotics, Spring 2009
Lecture 6: Acrobot and cart-pole Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.832 Underactuated Robotics, Spring 2009
Mathematical Biology. 10: Phase Diagrams III
UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014) Lec 10. Intro to Mathematical Modeling in Biology: Phase Diagrams III View the complete course: http://ocw.uci.edu/courses/math_113b_intro_to_mathematical_modeling_in_biology.html Instructor: German A. Enciso, Ph.D. Text
From playlist Math 113B: Mathematical Biology
Lecture 10 | MIT 6.832 Underactuated Robotics, Spring 2009
Lecture 10: Trajectory stabilization and iterative linear quadratic regulator (iLQR) Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.e
From playlist MIT 6.832 Underactuated Robotics, Spring 2009
(ML 9.1) Linear regression - Nonlinearity via basis functions
Introduction to linear regression. Basis functions can be used to capture nonlinearities in the input variable. A playlist of these Machine Learning videos is available here: http://www.youtube.com/view_play_list?p=D0F06AA0D2E8FFBA
From playlist Machine Learning