Journal ArticleDOI
Higher Order Approximate Feedback Linearization About a Manifold
Zhigang Xu,Jay Hauser +1 more
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TLDR
In this paper, the authors consider the problem of approximately feedback linearizing a single input nonlinear system around the equilibrium manifold e while making the error terms be of highest order on e. A constructive procedure is presented and illustrated with a simple example.About:
This article is published in IFAC Proceedings Volumes.The article was published on 1992-06-01. It has received 19 citations till now. The article focuses on the topics: Feedback linearization & Nonlinear control.read more
Citations
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Extended controller form and invariants of nonlinear control systems with a single input
TL;DR: In this article, the authors presented a method to solve the problem of the "CZ-1902" problem in the context of artificial neural networks, which they termed the CZ1902 problem.
Proceedings ArticleDOI
Approximate linearization of nonlinear control systems
TL;DR: The main result proved is that if the first k d-relative degrees are equal to each other, then the input-output response of a nonlinear control system can be linearized to degree k.
Journal ArticleDOI
Approximate linearization of nonlinear control systems
TL;DR: The main result proved is that if the fast k d- relative degrees are equal to each other, then the input-output response of a nonlinear control system can be linearized to degree k .
References
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Book
Nonlinear Control Systems: An Introduction
TL;DR: This chapter discusses the development of Geometric Theory of State Feedback for Multi-Input Multi-Output Systems and its applications in control systems.
Journal ArticleDOI
Global transformations of nonlinear systems
TL;DR: In this paper, a technique for constructing a transformation under the assumption that {g\ldot[f\dotg],...,(adn-1}f\ldotsg)} span an n -dimensional space and that the set is an involutive set.
Journal ArticleDOI
Feedback control of nonlinear systems by extended linearization
TL;DR: In this article, a design method based on the family of linearizations of the system, parameterized by constant operating points, is proposed for single-input, multiple-output, nonlinear systems.
Journal ArticleDOI
Approximate linearization by state feedback and coordinate change
TL;DR: In this article, the authors give necessary and sufficient conditions for a nonlinear system to be approximated to higher order by the transform of a linear system, and the use of this technique in the design of nonlinear compensators has been suggested recently.