Nonlinear Dynamical Control Systems / Edition 1

by Henk Nijmeijer, Arjan van der Schaft

Overview

This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.

Product Details

ISBN-13:	9781441930910
Publisher:	Springer New York
Publication date:	10/29/2010
Edition description:	Softcover reprint of hardcover 1st ed. 1990
Pages:	480
Product dimensions:	0.98(w) x 9.21(h) x 6.14(d)

Table of Contents

1 Introduction.- 2 Manifolds, Vectorfields, Lie Brackets, Distributions.- 3 Controllability and Observability, Local Decompositions.- 4 Input-Output Representations.- 5 State Space Transformation and Feedback.- 6 Feedback Linearization of Nonlinear Systems.- 7 Controlled Invariant Distribution and the Disturbance Decoupling Problem.- 8 The Input-Output Decoupling Problem.- 9 The Input-Output Decoupling Problem.- 10 Local Stability and Stabilization of Nonlinear Systems.- 11 Controlled Invariant Submanifolds and Nonlinear Zero Dynamics.- 12 Mechanical Nonlinear Control Systems.- 13 Controlled Invariance and Decoupling for General Nonlinear Systems.- 14 Discrete-Time Nonlinear Control Systems.

Editorial Reviews

A textbook that grew out of a set of lecture notes prepared for a course on nonlinear system theory, given by the authors in 1988 to graduate students taking part in the Dutch national Graduate Program on Systems and Control. It gives a general introduction to modern nonlinear control theory (with an emphasis on the differential geometric approach). Students specializing in nonlinear control theory will find it a firm starting point for doing research in this area. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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