Nonlinear Control Systems An Introduction

The purpose of this book is to present a self-contained description of the fundamentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as well as a reference to scientists and engineers involved in the...

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Bibliographic Details
Main Author: Isidori, Alberto
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1989, 1989
Edition:2nd ed. 1989
Series:Communications and Control Engineering
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Nonlinear Control Systems  |h Elektronische Ressource  |b An Introduction  |c by Alberto Isidori 
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300 |a XII, 479 p  |b online resource 
505 0 |a 1 Local Decompositions of Control Systems -- 2 Global Decompositions of Control Systems -- 3 Input-Output Maps and Realization Theory -- 4 Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems -- 5 Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems -- 6 Geometric Theory of State Feedback: Tools -- 7 Geometric Theory of State Feedback: Applications -- Appendix A -- A.1 Some Facts from Advanced Calculus -- A.2 Some Elementary Notions of Topology -- A.3 Smooth Manifolds -- A.4 Submanifolds -- A.5 Tangent Vectors -- A.6 Vector fields -- Appendix B -- B.1 Center Manifold Theory -- B.2 Some Useful Lemmas -- B.3 Local Geometric Theory of Singular Perturbations -- Bibliographical Notes -- References 
653 |a Microprogramming  
653 |a Software engineering 
653 |a Applied Dynamical Systems 
653 |a Software Engineering 
653 |a Calculus of Variations and Optimization 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a Control Structures and Microprogramming 
653 |a System theory 
653 |a Nonlinear theories 
653 |a Telecommunication 
653 |a Communications Engineering, Networks 
653 |a Mathematical optimization 
653 |a Calculus of variations 
653 |a Dynamics 
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520 |a The purpose of this book is to present a self-contained description of the fundamentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as well as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teaching at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl­ Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985. In the past few years differential geometry has proved to be an effective means of analysis and design of nonlinear control systems as it was in the past for the Laplace transform, complex variable theory and linear algebra in relation to linear systems. Synthesis problems of longstanding interest like disturbance decoupling, noninteracting control, output regulation, and the shaping of the input-output response, can be dealt with relative ease, on the basis of mathematical concepts that can be easily acquired by a control scientist