Nonlinear Control Systems (Communications and Control Engineering)

Book Description

This established and authoritative text focuses on the design and analysis of nonlinear control systems. The author considers the latest research results and techniques in this updated and extended edition. Examples are given from mechanical, electrical and aerospace engineering. The approach consists of a rigorous mathematical formulation of control problems and respective methods of solution. The two appendices outline the most important concepts of differential geometry and present some specific findings not often found in other standard works. The book is, therefore, suitable both as a graduate and undergraduate text and as a source for reference.

Customer Reviews:

Isidori's Magnum Opus.......2003-01-04

This is simply the best book written on nonlinear control theory. The contents form the basis for feedback linearization techniques, nonlinear observers, sliding mode control, understanding relative degree, nonminimum phase systems, exact linearization, and a host of other topics. A careful reading of this book will provide vast rewards. A fantastic book.

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Brain Dynamics
Hermann Haken
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Information and Self-Organization: A Macroscopic Approach to Complex Systems (Springer Series in Synergetics)
Synergetics: Introduction and Advanced Topics

ASIN: 3540430768

Book Description

(preliminary) Brain Dynamics is an introduction for graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences.
The approach in this book is through pulsed-coupled neural networks, with at their core the lighthouse and integrate-and-fire models, which allow for the highly flexible modelling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. As a more advanced topic, pulse-averaged equations and their application to movement coordination are discussed. The book closes with a short analysis of models versus the real neurophysiological system. The second edition has been thoroughly updated and augmented by an extensive chapter that discusses the interplay between pattern recognition and synchronization. Further, to enhance the usefulness as textbook and for self-study, the detailed solutions of all XX exercises throughout the text have been added.

Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (Princeton Series in Applied Mathematics)

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Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (Princeton Series in Applied Mathematics)
Wassim M. Haddad , VijaySekhar Chellaboina , and Sergey G. Nersesov
Manufacturer: Princeton University Press
ProductGroup: Book
Binding: Hardcover

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Switching in Systems and Control (Systems & Control: Foundations & Applications)
Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory

ASIN: 0691127158

Book Description

This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems.

Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems.

Cybernetical Physics: From Control of Chaos to Quantum Control (Understanding Complex Systems)

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Cybernetical Physics: From Control of Chaos to Quantum Control (Understanding Complex Systems)
Alexander L. Fradkov
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540462759

Book Description

The control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behaviour or similar features that defy traditional control techniques. This specific subject is gradually becoming known as cybernetical physics, borrowing methods from both theoretical physics and control engineering. Emphasis of the book is on the examination of fundamental limits on energy transformation by means of control procedures in both conservative and dissipative systems. A survey of application in physics includes the control of synchronisation of coupled oscillators, pendulum chains, reactions in physical chemistry and of quantum systems such as the dissociation of diatomic molecules.

This book has been written having research from various backgrounds in physics, mathematics and engineering in mind and is thus also suitable as introduction to graduate students working on the understanding of a broad range of complex systems in the natural sciences.

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Nonlinear Dynamical Systems from Nijmeier and van der Schaft

Nonlinear Dynamical Control Systems
Henk Nijmeijer , and Arjan van der Schaft
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Nonlinear Control Systems (Communications and Control Engineering)
Nonholonomic Mechanics and Control
Geometric Control of Mechanical Systems: Modeling, Analysis, and Design for Simple Mechanical Control Systems
Nonlinear Systems
Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics)

ASIN: 038797234X

Book Description

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.

Customer Reviews:

Nonlinear Dynamical Systems from Nijmeier and van der Schaft.......2001-01-16

This is an excelent, book where students of nonlinear control theory can be oriented into the heart of the theory, and also expertises in this topic can find a great amount of results written in a very readable and conscious style.

Introduction to Mathematical Systems Theory : A Behavioral Approach (Texts in Applied Mathematics, Vol. 26)

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First Aid to those outside the EE community
Systems theory done right!

Introduction to Mathematical Systems Theory : A Behavioral Approach (Texts in Applied Mathematics, Vol. 26)
Jan Willem Polderman , and Jan C. Willems
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387982663

Book Description

This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. In the first part of the book the structure of the set of trajectories that such dynamical systems generate is analyzed. Conditions are obtained for two systems of differential equations to be equivalent in the sense that they define the same behavior. It is further shown that the trajectories of such linear differential systems can be partitioned in free inputs and bound outputs. In addition the memory structure of the system is analyzed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. In the third part control problems are considered, more specifically stabilization and pole placement questions. This text is suitable for advanced undergraduate or beginning graduate students in mathematics and engineering. It contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Customer Reviews:

First Aid to those outside the EE community.......2006-12-02

The book starts off with an extremely useful modeling term: "Exclusion Law." This term describes a notion that any closed system of physical laws/equations (Newton's, etc.) state what's included (possible) and what's excluded (impossible) from its (a certain set of physical laws/equations) interpretation of reality.

Most of the concepts in this text will be nothing new to those who already have a bachelor of science in electrical engineering. Still, learning from the author's choice of words and his arrangement of materials will provide one with a very effective way of communicating modeling ideas to those outside the EE community or to those who are somehow academically juvenile (for example, speaking with someone who had to suffer a poor signals and systems instructor or with anyone who had to deal with a similar academic situation).

Here's a quote from page 12:

"Now it becomes necessary to consider two cases:"

From page 1:

"We view a mathematical model as an exlcusion law. A mathematical model expresses the OPINION that some things can happen, are possible, while others cannot, are declared impossible. Thus Kepler claims that planetary orbits that do not satisfy his three famous laws are impossible. In particular, he judges nonelliptical orbits as unphysical. ... Economic production functions tell us that certain amounts of raw materials, capital, and labor are needed in order to manufacture a finished product: it prohibits the creation of finished products unless the required resources are available."

And from page 8:

"Dynamical Systems.... The adjective dynamical refers to phenomena with a delayed reaction, phenomena with an aftereffect, with transients, oscillations, and, perhaps, an approach to equilibrium. ...a mathematical model in which the objects of interest are functions of time..."

Systems theory done right!.......2004-04-06

This is an excellent book on mathematical control theory. As opposed to the classical state-space approach, the behavioural theory gives a more fundamental and natural way of looking at physical systems. The book deals with the notions of controllability, observability, stability and feedback in a beautiful mathematical framework. A more appropriate title would be "Systems theory done right"!

Hybrid Systems V (Lecture Notes in Computer Science)

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Great synosis of hybrid systems

Hybrid Systems V (Lecture Notes in Computer Science)

Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

Mainframes & Minicomputers | Hardware | Computers & Internet | Subjects | Books

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ASIN: 354065643X

Book Description

This book constitutes the strictly refereed post-proceedings of the 5th International Hybrid Systems Workshop held in Notre Dame, Indiana, USA in September 1998. The 23 revised full papers presented in the book have gone through two rounds of thorough reviewing and revision. The volume presents state-of-the-art research results and particularly addresses such areas as program verification, concurrent and distributed processes, logic programming, logics of programs, discrete event simulation, calculus of variations, optimization, differential geometry, Lie algebras, automata theory, dynamical systems, etc.

Customer Reviews:

Great synosis of hybrid systems.......2001-05-18

This book excellent for anyone interested in the complex and unique world of hybrid systems. Wolf Kohn is simply brilliant! Highly recommended. Many of the authors of this book are still pursuing careers in hybrid systems, most prominently with the Seattle-based company, Hynomics, which plans to go public soon.

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Nonholonomic Mechanics and Control
Anthony Bloch
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Similar Items:

Geometric Control of Mechanical Systems: Modeling, Analysis, and Design for Simple Mechanical Control Systems
Nonlinear Dynamical Control Systems
A Mathematical Introduction to Robotic Manipulation
Nonlinear Systems
Nonlinear Systems (3rd Edition)

Accessories:

Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics)
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples (Lecture Notes in Mathematics)
Mathematical Aspects of Classical and Celestial Mechanics (Encyclopaedia of Mathematical Sciences)

ASIN: 0387955356

Book Description

The goal of this book is to explore some of the connections between control theory and geometric mechanics; that is, control theory is linked with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations and in particular with the theory of mechanical systems subject to motion constraints. The synthesis of topics is appropriate as there is a particularly rich connection between mechanics and nonlinear control theory. The aim is to provide a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material that has not yet made its way into texts and monographs. This book is intended for graduate students who wish to learn this subject and researchers in the area who want to enhance their techniques.

Nonlinear Dynamical Systems (Prentice Hall International Series in Systems and Control Engineering)

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Nonlinear Dynamical Systems (Prentice Hall International Series in Systems and Control Engineering)
P. A. Cook
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

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ASIN: 0136251617

Deployable Structures (CISM International Centre for Mechanical Sciences)

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Deployable Structures (CISM International Centre for Mechanical Sciences)

Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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ASIN: 3211836853

Book Description

Deployable structures can vary their shape automatically from a compact, packaged configuration to an expanded, operational configuration. The first properly engineered deployable structures were used as stabilization booms on early spacecraft. Later on, more complex structures were devised for solar arrays, communication reflectors and telescopes. In other fields there have been a variety of developments, including retractable roofs for stadia, foldable components for cars, portable structures for temporary shelters and exhibition displays. Three main themes are discussed in this book: concepts, working principles, and mechanics of deployable structures, both in engineering and biology; in addition: theory of foldable bar structures and application to deployable tensegrieties; formulation of large-rotation analysis of deployable structures and finite-element simulation methods.

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