Nonlinear Systems

Analysis, Stability, and Control

Author: S.S. Sastry

Publisher: Springer Science & Business Media

ISBN: 1475731086

Category: Mathematics

Page: 668

View: 561

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

Nonlinear Systems

Pearson New International Edition

Author: Hassan K. Khalil

Publisher: Pearson

ISBN: 9781292039213

Category: Nonlinear control theory

Page: 556

View: 5259

For a first-year graduate-level course on nonlinear systems. It may also be used for self-study or reference by engineers and applied mathematicians. The text is written to build the level of mathematical sophistication from chapter to chapter. It has been reorganized into four parts: Basic analysis, Analysis of feedback systems, Advanced analysis, and Nonlinear feedback control.

Nonlinear Systems

Author: P. G. Drazin

Publisher: Cambridge University Press

ISBN: 9780521406680

Category: Mathematics

Page: 317

View: 8345

A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.

Adaptive Learning Methods for Nonlinear System Modeling

Author: Danilo Comminiello,Jose C. Principe

Publisher: Butterworth-Heinemann

ISBN: 0128129778

Category: Technology & Engineering

Page: 388

View: 4366

Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms and machine learning methods designed for nonlinear system modeling and identification. Real-life problems always entail a certain degree of nonlinearity, which makes linear models a non-optimal choice. This book mainly focuses on those methodologies for nonlinear modeling that involve any adaptive learning approaches to process data coming from an unknown nonlinear system. By learning from available data, such methods aim at estimating the nonlinearity introduced by the unknown system. In particular, the methods presented in this book are based on online learning approaches, which process the data example-by-example and allow to model even complex nonlinearities, e.g., showing time-varying and dynamic behaviors. Possible fields of applications of such algorithms includes distributed sensor networks, wireless communications, channel identification, predictive maintenance, wind prediction, network security, vehicular networks, active noise control, information forensics and security, tracking control in mobile robots, power systems, and nonlinear modeling in big data, among many others. This book serves as a crucial resource for researchers, PhD and post-graduate students working in the areas of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, computational intelligence. This book may be also of interest to the industry market and practitioners working with a wide variety of nonlinear systems. Presents the key trends and future perspectives in the field of nonlinear signal processing and adaptive learning. Introduces novel solutions and improvements over the state-of-the-art methods in the very exciting area of online and adaptive nonlinear identification. Helps readers understand important methods that are effective in nonlinear system modelling, suggesting the right methodology to address particular issues.

Model-Based Tracking Control of Nonlinear Systems

Author: Elzbieta Jarzebowska

Publisher: CRC Press

ISBN: 1439819823

Category: Mathematics

Page: 315

View: 8917

Model-Based Control of Nonlinear Systems presents model-based control techniques for nonlinear, constrained systems. It covers constructive control design methods with an emphasis on modeling constrained systems, generating dynamic control models, and designing tracking control algorithms for the models. The book’s interdisciplinary approach illustrates how system modeling and control theory are essential to control design projects. Organized according to the steps in a control design project, the text first discusses kinematic and dynamic modeling methods, including programmed constraints, Lagrange’s equations, Boltzmann−Hamel equations, and generalized programmed motion equations. The next chapter describes basic control concepts and the use of nonlinear control theory. After exploring stabilization strategies for nonlinear systems, the author presents existing model-based tracking control algorithms and path-following strategies for nonlinear systems. The final chapter develops a new model reference tracking strategy for programmed motion. Throughout the text, two examples of mechanical systems are used to illustrate the theory and simulation results. The first example is a unicycle model (nonholonomic system) and the second is a two-link planar manipulator model (holonomic system). With a focus on constructive modeling and control methods, this book provides the tools and techniques to support the control design process.

Stable Adaptive Control and Estimation for Nonlinear Systems

Neural and Fuzzy Approximator Techniques

Author: Jeffrey T. Spooner,Manfredi Maggiore,Raúl Ordóñez,Kevin M. Passino

Publisher: John Wiley & Sons

ISBN: 0471460974

Category: Science

Page: 568

View: 6733

Includes a solution manual for problems. Provides MATLAB code for examples and solutions. Deals with robust systems in both theory and practice.

Chaotic Dynamics of Nonlinear Systems

Author: S. Neil Rasband

Publisher: Courier Dover Publications

ISBN: 0486795993

Category: Science

Page: 240

View: 914

Introduction to the concepts, applications, theory, and technique of chaos. Suitable for advanced undergraduates and graduate students and researchers. Requires familiarity with differential equations and linear vector spaces. 1990 edition.

Nonlinear Systems Stability Analysis

Lyapunov-Based Approach

Author: Seyed Kamaleddin Yadavar Nikravesh

Publisher: CRC Press

ISBN: 1466569298

Category: Science

Page: 319

View: 3989

The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions—system stability being the most crucial property. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems. Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.

Nonlinear Systems

Author: R. Sahadevan,Muthusamy Lakshmanan

Publisher: CRC Press

ISBN: 9780849317224

Category: Mathematics

Page: 384

View: 1807

Nonlinear Systems covers a wide range of topics in nonlinear science, from general nonlinear dynamics, soliton systems, and the solution of nonlinear differential and difference equations to the integrability of discrete nonlinear systems, and classical and quantum chaos. Its chapters reflect the current status of important nonlinear theories in various areas of applied mathematics and mathematical physics and collectively provide a comprehensive picture of new areas and their applications.

Nonlinear Systems Analysis

Second Edition

Author: M. Vidyasagar

Publisher: SIAM

ISBN: 9780898719185

Category: Differential equations, Nonlinear

Page: 498

View: 5500

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Structural Sensitivity Analysis and Optimization 2

Nonlinear Systems and Applications

Author: K. K. Choi,Nam-Ho Kim

Publisher: Springer Science & Business Media

ISBN: 0387273069

Category: Science

Page: 326

View: 2017

Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.

Nonlinear System Identification

From Classical Approaches to Neural Networks and Fuzzy Models

Author: Oliver Nelles

Publisher: Springer Science & Business Media

ISBN: 3662043238

Category: Technology & Engineering

Page: 786

View: 3822

Written from an engineering point of view, this book covers the most common and important approaches for the identification of nonlinear static and dynamic systems. The book also provides the reader with the necessary background on optimization techniques, making it fully self-contained. The new edition includes exercises.

Active Disturbance Rejection Control for Nonlinear Systems

An Introduction

Author: Bao-Zhu Guo,Zhi-Liang Zhao

Publisher: John Wiley & Sons

ISBN: 1119239923

Category: Science

Page: 368

View: 1154

A concise, in-depth introduction to active disturbance rejection control theory for nonlinear systems, with numerical simulations and clearly worked out equations Provides the fundamental, theoretical foundation for applications of active disturbance rejection control Features numerical simulations and clearly worked out equations Highlights the advantages of active disturbance rejection control, including small overshooting, fast convergence, and energy savings

Oscillations and Waves

in Linear and Nonlinear Systems

Author: M.I Rabinovich,D.I. Trubetskov

Publisher: Springer Science & Business Media

ISBN: 9400910339

Category: Mathematics

Page: 578

View: 8182

Oscillations in Nonlinear Systems

Author: Jack K. Hale

Publisher: Courier Dover Publications

ISBN: 0486803260

Category: Mathematics

Page: 192

View: 6308

By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

Localization & Energy Transfer in Nonlinear Systems

Proceedings of the Third Conference : June 17-21 2002, San Lorenzo de El Escorial Madrid

Author: Robert Sinclair MacKay,Luis V zquez,Mar¡a Paz Zorzano

Publisher: World Scientific

ISBN: 9789812704627

Category: Mathematics

Page: 351

View: 2011

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).

Extending H-infinity Control to Nonlinear Systems

Control of Nonlinear Systems to Achieve Performance Objectives

Author: J. William Helton,Matthew R. James

Publisher: SIAM

ISBN: 9780898719840

Category: H [infinity symbol] control

Page: 333

View: 9185

H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the controller. One can view this equation as a nonlinear dynamical system. Much of this volume is concerned with basic properties of this system, such as the nature of trajectories, stability, and, most important, how it leads to a general solution of the nonlinear H-infinity control problem.

Toward Analytical Chaos in Nonlinear Systems

Author: Albert C. J. Luo

Publisher: John Wiley & Sons

ISBN: 1118658612

Category: Science

Page: 268

View: 8714

Analytical Periodic Flows and Chaos in Nonlinear Systems systematically presents a new approach to analytically determine the periodic flows and chaos in nonlinear dynamical systems. The new analytical technique presented in this book is based on Fourier Series theory and the coefficient variation method in differential equations to obtain an autonomous dynamical system of coefficients. To investigate such an autonomous system, the stable and unstable solutions of periodic motions and chaos can be obtained. The book covers the mathematical theory of analytical solutions of periodic flows and chaos in nonlinear dynamical systems, and includes many examples of nonlinear systems frequently encountered in engineering and physics. The analytical techniques in this book can provide a better understanding of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems. The method is straightforward to learn for students and researchers in nonlinear dynamics.

Advances in the Control of Nonlinear Systems

Author: Alfonso Banos,Francoise Lamnabhi-Lagarrigue,Francisco J. Montoya

Publisher: Springer Science & Business Media

ISBN: 9781852333782

Category: Mathematics

Page: 336

View: 5622

This volume is based on the course notes of the 2nd NCN Pedagogical School, the second in the series of Pedagogical Schools in the frame work of the European TMR project, "Breakthrough in the control of nonlinear systems (Nonlinear Control Network)". The school consists of four courses that have been chosen to give a broad range of techniques for the analysis and synthesis of nonlinear control systems, and have been developed by leading experts in the field. The topics covered are: Differential Algebraic Methods in Nonlinear Systems; Nonlinear QFT; Hybrid Systems; Physics in Control. The book has a pedagogical character, and is specially directed to postgraduates in most areas of engineering and applied sciences like mathematics and physics. It will also be of interest to researchers and practitioners needing a solid introduction to the above topics.

Global Controllability and Stabilization of Nonlinear Systems

Author: Sergey Nikitin

Publisher: World Scientific

ISBN: 9789810217792

Category: Mathematics

Page: 270

View: 885

The main purpose of this book is to provide a self-contained, complete and geometrically clear presentation of the recent results on global controllability and stabilization. It contains many pictures and exercises so as to develop a geometrical control intuition and inspire the reader to think independently. The material presented is organized such that for Part I, it is only assumed that the reader has mastered the very basic notions of ordinary differential equation theory, general topology and analytic geometry. For Part II, the reader is assumed to be familiar with the elements of differential geometry.