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Nonlinear Control Systems: An Introduction

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TLDR
This chapter discusses the development of Geometric Theory of State Feedback for Multi-Input Multi-Output Systems and its applications in control systems.
Abstract
Contents: Local Decompositions of Control Systems.- Global Decompositions of Control Systems.- Input-Output Maps and Realization Theory.- Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems.- Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems.- Geometric Theory of State Feedback: Tools.- Geometric Theory of State Feedback: Applications.- Appendix A.- Appendix B.- Bibliographical Notes.- References.- Subject Index.

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Dissertation

Commande robuste de systèmes non linéaires incertains.

TL;DR: In this paper, a cadre rigoureux permettant de resoudre efficacement des problemes de synthese non lineaire is proposed. But, the problem of non-lineaires a Parametres Variant dans le temps (LPV) is not addressed.
Proceedings ArticleDOI

A Robust Nonlinear Controller with Application to a Magnetic Bearing System

TL;DR: In this article, a robust nonlinear controller for a nonlinear system subject to model uncertainties is proposed, which consists in the association of a robust feedback linearization with a robust linear H ∞ controller.
Proceedings ArticleDOI

Symbolic calculation of zero dynamics for nonlinear control systems

TL;DR: A MAPLE procedure, ZERODYN, is written to calculate the zero dynamics symbolically, which can, however, not solve all problems, mainly because general symbolic algebra programs have insufficient capabilities to solve sets of nonlinear equations and partial differential equations.
Journal ArticleDOI

An Approximate Frobenius Theorem

TL;DR: In this paper, the authors considered the approximate integrability of a smooth nonsingular distribution around a manifold and gave sufficient conditions for the distribution to be order ρ -1 integrable around a manifolds.
Proceedings ArticleDOI

Stable inversion for nonlinear systems with nonhyperbolic internal dynamics

TL;DR: In this paper, a technique to achieve output tracking for non-minimum phase nonlinear systems with non-hyperbolic internal dynamics is presented, which integrates stable inversion techniques (that achieve exact tracking) with approximation techniques that modify the internal dynamics.
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Isodori Nonlinear Control System: An Introduction

Yes, the book "Nonlinear Control Systems: An Introduction" by Alberto Isidori covers the topic of nonlinear control systems.