|
Showing 1 - 8 of
8 matches in All Departments
This text provides a detailed and self-contained introduction to
the core topics of optimal control for finite-dimensional
deterministic dynamical systems. Skillfully designed to
guide the student through the development of the subject, the book
provides a rich collection of examples, exercises, illustrations,
and applications, to support comprehension of the material.
Solutions to odd-numbered exercises are included, while a complete
set of solutions is available to instructors who adopt the text for
their class. The book is adaptable to coursework for final year
undergraduates in (applied) mathematics or beginning graduate
students in engineering. Required mathematical background includes
calculus, linear algebra, a basic knowledge of differential
equations, as well as a rudimentary acquaintance with control
systems.  The book has developed out of lecture notes
that were tested, adapted, and expanded over many years of
teaching. Chapters 1-4 constitute the material for a basic
course on optimal control, covering successively the calculus of
variations, minimum principle, dynamic programming, and linear
quadratic control. The additional Chapter 5 provides brief
views to a number of selected topics related to optimal control,
which are meant to peak the reader’s interest. Some mathematical
background is summarized in Appendix A for easy review. Appendix B
recalls some of the basics of differential equations and also
provides a detailed treatment of Lyapunov stability theory
including LaSalle’s invariance principle, as occasionally used in
Chapters 3 and 4.
This standard text gives a unified treatment of passivity and
L2-gain theory for nonlinear state space systems, preceded by a
compact treatment of classical passivity and small-gain theorems
for nonlinear input-output maps. The synthesis between passivity
and L2-gain theory is provided by the theory of dissipative
systems. Specifically, the small-gain and passivity theorems and
their implications for nonlinear stability and stabilization are
discussed from this standpoint. The connection between L2-gain and
passivity via scattering is detailed. Feedback equivalence to a
passive system and resulting stabilization strategies are
discussed. The passivity concepts are enriched by a generalised
Hamiltonian formalism, emphasising the close relations with
physical modeling and control by interconnection, and leading to
novel control methodologies going beyond passivity. The potential
of L2-gain techniques in nonlinear control, including a theory of
all-pass factorizations of nonlinear systems, and of
parametrization of stabilizing controllers, is demonstrated. The
nonlinear H-infinity optimal control problem is also treated and
the book concludes with a geometric analysis of the solution sets
of Hamilton-Jacobi inequalities and their relation with Riccati
inequalities for the linearization. * L2-Gain and Passivity
Techniques in Nonlinear Control (third edition) is thoroughly
updated, revised, reorganized and expanded. Among the changes,
readers will find: * updated and extended coverage of dissipative
systems theory * substantial new material regarding converse
passivity theorems and incremental/shifted passivity * coverage of
recent developments on networks of passive systems with examples *
a completely overhauled and succinct introduction to modeling and
control of port-Hamiltonian systems, followed by an exposition of
port-Hamiltonian formulation of physical network dynamics * updated
treatment of all-pass factorization of nonlinear systems The book
provides graduate students and researchers in systems and control
with a compact presentation of a fundamental and rapidly developing
area of nonlinear control theory, illustrated by a broad range of
relevant examples stemming from different application areas.
This standard text gives a unified treatment of passivity and
L2-gain theory for nonlinear state space systems, preceded by a
compact treatment of classical passivity and small-gain theorems
for nonlinear input-output maps. The synthesis between passivity
and L2-gain theory is provided by the theory of dissipative
systems. Specifically, the small-gain and passivity theorems and
their implications for nonlinear stability and stabilization are
discussed from this standpoint. The connection between L2-gain and
passivity via scattering is detailed. Feedback equivalence to a
passive system and resulting stabilization strategies are
discussed. The passivity concepts are enriched by a generalised
Hamiltonian formalism, emphasising the close relations with
physical modeling and control by interconnection, and leading to
novel control methodologies going beyond passivity. The potential
of L2-gain techniques in nonlinear control, including a theory of
all-pass factorizations of nonlinear systems, and of
parametrization of stabilizing controllers, is demonstrated. The
nonlinear H-infinity optimal control problem is also treated and
the book concludes with a geometric analysis of the solution sets
of Hamilton-Jacobi inequalities and their relation with Riccati
inequalities for the linearization. * L2-Gain and Passivity
Techniques in Nonlinear Control (third edition) is thoroughly
updated, revised, reorganized and expanded. Among the changes,
readers will find: * updated and extended coverage of dissipative
systems theory * substantial new material regarding converse
passivity theorems and incremental/shifted passivity * coverage of
recent developments on networks of passive systems with examples *
a completely overhauled and succinct introduction to modeling and
control of port-Hamiltonian systems, followed by an exposition of
port-Hamiltonian formulation of physical network dynamics * updated
treatment of all-pass factorization of nonlinear systems The book
provides graduate students and researchers in systems and control
with a compact presentation of a fundamental and rapidly developing
area of nonlinear control theory, illustrated by a broad range of
relevant examples stemming from different application areas.
This volume is intended for researchers in engineering and applied mathematics. It can also be used as a textbook for graduate students dealing with non-linear systems and control theory. After a self-contained treatment of the differential-geometric prerequisites, the book deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. Problems of transforming nonlinear systems into simpler forms are discussed, including the feedback linearization problem. The disturbance and input-output decoupling problem are treated in detail, as well as some aspects of feedback stabilization, and interconnection and inversion of nonlinear systems. Emphasis is put on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks. Extensions of these methods to other synthesis problems are indicated in the exercises at the end of each chapter. Special attention is paid to mechanical nonlinear control systems, and finally the theory is extended to general continuous-time and discrete time systems. Numerous examples and exercises illustrate the main results of the book.
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.
This book gives a unified treatment of classical input-output stability theory and recent developments in nonlinear robust and passivity-based control. The synthesis between these areas is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this vantage-ground. The connection between L2-gain and passivity via scattering is detailed.The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasizing the close relations with modeling and control by interconnection. Feedback equivalence to a passive system and resulting stabilization strategies are discussed.The potential of L2-gain techniques in nonlinear control is demonstrated, including a compact treatment of the nonlinear H optimal control problem. This book supplies the reader with a succinct, informative summary of a fundamental and rapidly developing area of nonlinear control theory.
The chapters of this book have been presented at the 1st Workshop
of the Nonlinear Control Network*, which was held in Ghent, March
15,16, 1999. These contributions give an overview of some of the
current and emerging trends in nonlinear systems and control
theory. As editors of this book we would very much like to thank
the speakers at this workshop for their sti- lating presentations
and for their efforts to bring this material to its current form,
which we are sure will provide stimulating reading as well. Dirk
Aeyels Franchise Lamnabhi-Lagarrigue Arjan J. van der Schaft 'The
Nonlinear Control Network is a four year project within the
framework of the European Commission's Training and Mobility of
Researchers (TMR) Programme that started on December 1, 1997. There
are nine partners involved: Dirk Aeyels Universiteit Gent Dirk.
Asysls4rug. ac. be Belgium Alfonso Banos Universidad de Murcia
abanostdif. um. es Spain Fritz Colonius Universitat Augsburg
ColoniusCmath. uni-augsburg. de Germany Alberto Isidori Universita
di Roma isidoriCgiannutri. caspur. it Italy Francoise
Lamnabhi-Lagarrigue Centre National de la Recherche Scientifique
lamnabhiClss. supslsc. fr France (coordinator) David H. Owens
University of Sheffield D. H. OnensCshsffield. ac. uk England Arjan
J. van der Schaft Universiteit Twente a. j. vanderschaftCmath.
ut8ents. nl The Netherlands Fatima Silva Leite Universidade de
Coimbra fleiteCmat. uc. pt Portugal John Tsinias National Technical
University of Athens jtsinCmath. ntua. gr Greece url: Nonlinear
Control Network http://nuH. supelec. fr/lss/NCN Contents 1.
Apart from offering a systematic and insightful framework for
modeling and analysis of multi-physics systems, port-Hamiltonian
systems theory provides a natural starting point for control.
Especially in the nonlinear case it is widely recognized that
physical properties of the system - such as balance and
conservation laws and energy considerations - should be exploited
and respected in the design of control laws which are robust and
physically interpretable. Port-Hamiltonian Systems Theory provides
a concise and easily accessible description of the foundations
underpinning the subject, and goes on to emphasize novel
developments in the field that will be of interest to a broad range
of researchers. The tutorial style makes it suitable for use in a
course and by students.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Tenet
John David Washington, Robert Pattinson, …
DVD
R53
Discovery Miles 530
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|