Nonlinear control

Feedback linearization

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).

Feedback linearization
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Trimming and Linearization, Part 1: What Is Linearization?

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From playlist Trimming and Linearization

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An Introduction to Linear Regression Analysis

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From playlist Linear Regression.

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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

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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

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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

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Linearising nonlinear derivatives

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From playlist Linearisation

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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

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From playlist The z-Transform

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2. Effects of Feedback on Noise and Nonlinearities

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From playlist MIT Electronic Feedback Systems (1985)

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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

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Arthur Krener: "Al'brekht’s Method in Infinite Dimensions"

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Linear Transformations

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

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Nonlinear Control Systems

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

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Russell Tedrake: "From pixels to torques: output feedback for robotics"

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Stream Ciphers (Contd...2)

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From playlist Computer - Cryptography and Network Security

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Karl Kunisch: "Solution Concepts for Optimal Feedback Control of Nonlinear PDEs"

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From playlist MIT 6.832 Underactuated Robotics, Spring 2009

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From playlist Math 113B: Mathematical Biology

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From playlist MIT 6.832 Underactuated Robotics, Spring 2009

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From playlist Machine Learning

Related pages

Neighbourhood (mathematics) | Normal form (abstract rewriting) | Zero dynamics | Minimum phase | Lie derivative | Diffeomorphism | Nonlinear control | Chain rule