Nonlinear Systems

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Publisher : BoD – Books on Demand
ISBN 13 : 9535127144
Total Pages : 366 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Nonlinear Systems by : Dongbin Lee

Download or read book Nonlinear Systems written by Dongbin Lee and published by BoD – Books on Demand. This book was released on 2016-10-19 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.

Nonlinear Systems - Design, Analysis, Estimation and Control

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Publisher :
ISBN 13 : 9789535141730
Total Pages : 364 pages
Book Rating : 4.1/5 (417 download)

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Book Synopsis Nonlinear Systems - Design, Analysis, Estimation and Control by : Christos Volos

Download or read book Nonlinear Systems - Design, Analysis, Estimation and Control written by Christos Volos and published by . This book was released on 2016 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.

Introduction to Nonlinear Control

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Publisher : Princeton University Press
ISBN 13 : 0691240493
Total Pages : 552 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Introduction to Nonlinear Control by : Christopher M. Kellett

Download or read book Introduction to Nonlinear Control written by Christopher M. Kellett and published by Princeton University Press. This book was released on 2023-06-27 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory text on the analysis, control, and estimation of nonlinear systems, appropriate for advanced undergraduate and graduate students This self-contained and accessible introduction to the concepts and techniques used for nonlinear feedback systems offers a holistic treatment suitable for use in both advanced undergraduate and graduate courses; students need only some familiarity with differential equations and linear algebra to understand the material presented. The text begins with an overview of stability and Lyapunov methods for nonlinear systems, with Lyapunov’s second method revisited throughout the book as a connective thread. Other introductory chapters cover linear systems, frequency domain methods, and discrete-time systems. Building on this background material, the book provides a broad introduction to the basic ideas underpinning major themes of research in nonlinear control, including input-to-state stability, sliding mode control, adaptive control, feedback linearization, and robust output regulation. Chapters also cover observer design and estimation for nonlinear systems. The text is notable for its coverage of nonlinear model predictive control and its introduction to the use of linear matrix inequalities and semidefinite programming coupled with their use in modern antiwindup designs. • First text on nonlinear control appropriate for undergraduates • Suitable both for students preparing for rigorous graduate study and for those entering technical fields outside of academia • Unique in its coverage of recent research topics • Pedagogical features including extensive chapter summaries, examples, and appendixes with definitions, results, and MATLAB applications

Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

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Publisher : Springer
ISBN 13 : 3319123912
Total Pages : 339 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion by : Xingjian Jing

Download or read book Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion written by Xingjian Jing and published by Springer. This book was released on 2015-02-17 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.

Analysis and Design of Nonlinear Systems in the Frequency Domain

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Publisher : Springer Nature
ISBN 13 : 3030708330
Total Pages : 164 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Analysis and Design of Nonlinear Systems in the Frequency Domain by : Yunpeng Zhu

Download or read book Analysis and Design of Nonlinear Systems in the Frequency Domain written by Yunpeng Zhu and published by Springer Nature. This book was released on 2021-03-25 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the development of three novel approaches to build up a framework for the frequency domain analysis and design of nonlinear systems. The concepts are derived from Volterra series representation of nonlinear systems which are described by nonlinear difference or differential equations. Occupying the middle ground between traditional linear approaches and more complex nonlinear system theories, the book will help readers to have a good start to analyse and exploit the nonlinearities. Analysis and Design of Nonlinear Systems in the Frequency Domain provides clear illustrations and examples at the beginning and the end of each chapter, respectively, making it of interest to both academics and practicing engineers.

Nonlinear Control Systems II

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852331887
Total Pages : 316 pages
Book Rating : 4.3/5 (318 download)

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Book Synopsis Nonlinear Control Systems II by : Alberto Isidori

Download or read book Nonlinear Control Systems II written by Alberto Isidori and published by Springer Science & Business Media. This book was released on 1999-09-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.

Nonrecursive Control Design for Nonlinear Systems

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Publisher : CRC Press
ISBN 13 : 1000892476
Total Pages : 344 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Nonrecursive Control Design for Nonlinear Systems by : Chuanlin Zhang

Download or read book Nonrecursive Control Design for Nonlinear Systems written by Chuanlin Zhang and published by CRC Press. This book was released on 2023-06-20 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines. Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework. This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework. This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.

Analysis and Design of Nonlinear Control Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642115500
Total Pages : 551 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Analysis and Design of Nonlinear Control Systems by : Daizhan Cheng

Download or read book Analysis and Design of Nonlinear Control Systems written by Daizhan Cheng and published by Springer Science & Business Media. This book was released on 2011-03-28 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book. Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.

Stable Adaptive Control and Estimation for Nonlinear Systems

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Publisher : John Wiley & Sons
ISBN 13 : 0471460974
Total Pages : 564 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Stable Adaptive Control and Estimation for Nonlinear Systems by : Jeffrey T. Spooner

Download or read book Stable Adaptive Control and Estimation for Nonlinear Systems written by Jeffrey T. Spooner and published by John Wiley & Sons. This book was released on 2004-04-07 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thema dieses Buches ist die Anwendung neuronaler Netze und Fuzzy-Logic-Methoden zur Identifikation und Steuerung nichtlinear-dynamischer Systeme. Dabei werden fortgeschrittene Konzepte der herkömmlichen Steuerungstheorie mit den intuitiven Eigenschaften intelligenter Systeme kombiniert, um praxisrelevante Steuerungsaufgaben zu lösen. Die Autoren bieten viel Hintergrundmaterial; ausgearbeitete Beispiele und Übungsaufgaben helfen Studenten und Praktikern beim Vertiefen des Stoffes. Lösungen zu den Aufgaben sowie MATLAB-Codebeispiele sind ebenfalls enthalten.

State Estimation and Stabilization of Nonlinear Systems

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Publisher : Springer Nature
ISBN 13 : 3031379705
Total Pages : 439 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis State Estimation and Stabilization of Nonlinear Systems by : Abdellatif Ben Makhlouf

Download or read book State Estimation and Stabilization of Nonlinear Systems written by Abdellatif Ben Makhlouf and published by Springer Nature. This book was released on 2023-11-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the separation principle which is also known as the principle of separation of estimation and control and states that, under certain assumptions, the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the system's state, which feeds into an optimal deterministic controller for the system. Thus, the problem may be divided into two halves, which simplifies its design. In the context of deterministic linear systems, the first instance of this principle is that if a stable observer and stable state feedback are built for a linear time-invariant system (LTI system hereafter), then the combined observer and feedback are stable. The separation principle does not true for nonlinear systems in general. Another instance of the separation principle occurs in the context of linear stochastic systems, namely that an optimum state feedback controller intended to minimize a quadratic cost is optimal for the stochastic control problem with output measurements. The ideal solution consists of a Kalman filter and a linear-quadratic regulator when both process and observation noise are Gaussian. The term for this is linear-quadratic-Gaussian control. More generally, given acceptable conditions and when the noise is a martingale (with potential leaps), a separation principle, also known as the separation principle in stochastic control, applies when the noise is a martingale (with possible jumps).

Uniform Output Regulation of Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644652
Total Pages : 176 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Uniform Output Regulation of Nonlinear Systems by : Alexey Victorovich Pavlov

Download or read book Uniform Output Regulation of Nonlinear Systems written by Alexey Victorovich Pavlov and published by Springer Science & Business Media. This book was released on 2006-07-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study of the nonlinear output regulation problem embraces local as well as global cases, covering such aspects as controller design and practical implementation issues. From the reviews: "The authors treat the problem of output regulation for a nonlinear control system...[they] develop a global approach to output regulation along familiar lines....I found the book to be ambitious and rigorous, tackling some hard conceptual issues." --IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Observer Design for Nonlinear Systems

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Publisher : Springer
ISBN 13 : 3030111466
Total Pages : 187 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Observer Design for Nonlinear Systems by : Pauline Bernard

Download or read book Observer Design for Nonlinear Systems written by Pauline Bernard and published by Springer. This book was released on 2019-02-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observer Design for Nonlinear Systems deals with the design of observers for the large class of nonlinear continuous-time models. It contains a unified overview of a broad range of general designs, including the most recent results and their proofs, such as the homogeneous and nonlinear Luenberger design techniques. The book starts from the observation that most observer designs consist in looking for a reversible change of coordinates transforming the expression of the system dynamics into some specific structures, called normal forms, for which an observer is known. Therefore, the problem of observer design is broken down into three sub-problems: • What are the available normal forms and their associated observers?• Under which conditions can a system be transformed into one of these forms and through which transformation? • How can an inverse transformation that recovers an estimate in the given initial coordinates be achieved? This organisation allows the book to structure results within a united framework, highlighting the importance of the choice of the observer coordinates for nonlinear systems. In particular, the first part covers state-affine forms with their Luenberger or Kalman designs, and triangular forms with their homogeneous high-gain designs. The second part addresses the transformation into linear forms through linearization by output injection or in the context of a nonlinear Luenberger design, and into triangular forms under the well-known uniform and differential observability assumptions. Finally, the third part presents some recently developed methods for avoiding the numerically challenging inversion of the transformation. Observer Design for Nonlinear Systems addresses students and researchers looking for an introduction to or an overview of the state of the art in observer design for nonlinear continuous-time dynamical systems. The book gathers the most important results focusing on a large and diffuse literature on general observer designs with global convergence, and is a valuable source of information for academics and practitioners.

Stability and Stabilization of Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0857295136
Total Pages : 401 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Stability and Stabilization of Nonlinear Systems by : Iasson Karafyllis

Download or read book Stability and Stabilization of Nonlinear Systems written by Iasson Karafyllis and published by Springer Science & Business Media. This book was released on 2011-04-02 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.

Algorithms of Estimation for Nonlinear Systems

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Publisher : Springer
ISBN 13 : 3319530402
Total Pages : 206 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Algorithms of Estimation for Nonlinear Systems by : Rafael Martínez-Guerra

Download or read book Algorithms of Estimation for Nonlinear Systems written by Rafael Martínez-Guerra and published by Springer. This book was released on 2017-04-04 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms.

Intelligent Observer and Control Design for Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540636397
Total Pages : 358 pages
Book Rating : 4.6/5 (363 download)

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Book Synopsis Intelligent Observer and Control Design for Nonlinear Systems by : Dierk Schröder

Download or read book Intelligent Observer and Control Design for Nonlinear Systems written by Dierk Schröder and published by Springer Science & Business Media. This book was released on 2000-01-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control theory of nonlinear systems, in which either the linear part is known but the relevant nonlinearities in place, kind or parameters are unknown, or both the linear and the nonlinear parts are partially or even most unknown, is a new, demanding and highly interesting field. This book treats the problem by focussing on the role of learning. Intelligent learning techniques are able to determine the unknown components of nonlinear systems. These processes are always stable and convergent. The methods presented can be used both on-line and off-line. They have applications in mechatronics, hydraulics and combustion engines.

Nonlinear Estimation and Applications to Industrial Systems Control

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Publisher :
ISBN 13 : 9781619428980
Total Pages : 0 pages
Book Rating : 4.4/5 (289 download)

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Book Synopsis Nonlinear Estimation and Applications to Industrial Systems Control by : Milan Zafirovski

Download or read book Nonlinear Estimation and Applications to Industrial Systems Control written by Milan Zafirovski and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyses recent advances in non-linear state estimation and application of such estimation schemes to industrial systems control. This book is mainly addressed to graduate students, researchers and engineers working on the problems of estimation and control of non-linear dynamical systems. This book comes to address the increasing interest of the engineering community in control systems that process and integrate information coming from various types of sensors. By providing analysis on non-trivial problems of joint estimation and control for non-linear dynamical systems, according to recently developed filtering methods and non-linear control techniques, this book is a useful reference for researchers and engineers.

Max-Plus Methods for Nonlinear Control and Estimation

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817635343
Total Pages : 268 pages
Book Rating : 4.6/5 (353 download)

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Book Synopsis Max-Plus Methods for Nonlinear Control and Estimation by : William M. McEneaney

Download or read book Max-Plus Methods for Nonlinear Control and Estimation written by William M. McEneaney and published by Springer Science & Business Media. This book was released on 2006 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. The max-plus-based methods examined in this work belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are not equivalent to either of the more commonly used finite element or characteristic approaches. Max-Plus Methods for Nonlinear Control and Estimation will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods.