Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Author: Thomas Meurer

Publisher: Springer Science & Business Media

Published: 2005-09-19

Total Pages: 440

ISBN-13: 9783540279389

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This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bio–) chemical engineering, and fluid dynamics. The unique combination of results of finite as well as infinite–dimensional systems makes this book a remarkable contribution addressing postgraduates, researchers, and engineers both at universities and in industry. The contributions to this book were presented at the Symposium on Nonlinear Control and Observer Design: From Theory to Applications (SYNCOD), held September 15–16, 2005, at the University of Stuttgart, Germany. The conference and this book are dedicated to the 65th birthday of Prof. Dr.–Ing. Dr.h.c. Michael Zeitz to honor his life – long research and contributions on the fields of nonlinear control and observer design.


Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Author: Thomas Meurer

Publisher: Springer

Published: 2009-09-02

Total Pages: 426

ISBN-13: 9783540813392

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This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bio–) chemical engineering, and fluid dynamics. The unique combination of results of finite as well as infinite–dimensional systems makes this book a remarkable contribution addressing postgraduates, researchers, and engineers both at universities and in industry. The contributions to this book were presented at the Symposium on Nonlinear Control and Observer Design: From Theory to Applications (SYNCOD), held September 15–16, 2005, at the University of Stuttgart, Germany. The conference and this book are dedicated to the 65th birthday of Prof. Dr.–Ing. Dr.h.c. Michael Zeitz to honor his life – long research and contributions on the fields of nonlinear control and observer design.


Control Systems Theory and Applications for Linear Repetitive Processes

Control Systems Theory and Applications for Linear Repetitive Processes

Author: Eric Rogers

Publisher: Springer Science & Business Media

Published: 2007-07-11

Total Pages: 477

ISBN-13: 3540715371

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After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.


Control of Higher–Dimensional PDEs

Control of Higher–Dimensional PDEs

Author: Thomas Meurer

Publisher: Springer Science & Business Media

Published: 2012-08-13

Total Pages: 373

ISBN-13: 3642300154

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This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.


Nonlinear Observers and Applications

Nonlinear Observers and Applications

Author: Gildas Besançon

Publisher: Springer

Published: 2007-10-11

Total Pages: 234

ISBN-13: 3540735038

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The purpose of this fantastically useful book is to lay out an overview on possible tools for state reconstruction in nonlinear systems. Here, basic observability notions and observer structures are recalled, together with ingredients for advanced designs on this basis. The problem of state reconstruction in dynamical systems, known as observer problem, is crucial for controlling or even merely monitoring processes. For linear systems, the theory has been well established for several years, so this book attempts to tackle the problem for non-linear systems.


Modal Array Signal Processing: Principles and Applications of Acoustic Wavefield Decomposition

Modal Array Signal Processing: Principles and Applications of Acoustic Wavefield Decomposition

Author: Heinz Teutsch

Publisher: Springer Science & Business Media

Published: 2007-01-10

Total Pages: 267

ISBN-13: 3540408932

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This book deals with the problem of detecting and localizing multiple simultaneously active wideband acoustic sources by applying the notion of wavefield decomposition using circular and spherical microphone arrays. A rigorous derivation of modal array signal processing algorithms for unambiguous source detection and localization, as well as performance evaluations by means of measurements using an actual real-time capable implementation, are discussed.


Assessment and Future Directions of Nonlinear Model Predictive Control

Assessment and Future Directions of Nonlinear Model Predictive Control

Author: Rolf Findeisen

Publisher: Springer

Published: 2007-09-08

Total Pages: 644

ISBN-13: 3540726993

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Thepastthree decadeshaveseenrapiddevelopmentin the areaofmodelpred- tive control with respect to both theoretical and application aspects. Over these 30 years, model predictive control for linear systems has been widely applied, especially in the area of process control. However, today’s applications often require driving the process over a wide region and close to the boundaries of - erability, while satisfying constraints and achieving near-optimal performance. Consequently, the application of linear control methods does not always lead to satisfactory performance, and here nonlinear methods must be employed. This is one of the reasons why nonlinear model predictive control (NMPC) has - joyed signi?cant attention over the past years,with a number of recent advances on both the theoretical and application frontier. Additionally, the widespread availability and steadily increasing power of today’s computers, as well as the development of specially tailored numerical solution methods for NMPC, bring thepracticalapplicabilityofNMPCwithinreachevenforveryfastsystems.This has led to a series of new, exciting developments, along with new challenges in the area of NMPC.


Realization Theory and Design of Digital Images

Realization Theory and Design of Digital Images

Author: Yasumichi Hasegawa

Publisher: Springer

Published: 2006-10-20

Total Pages: 234

ISBN-13: 3540361162

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This monograph offers a thorough examination of the description and design of digital images. Regarding digital images as special input/output relations in the authors’ previous book in the series Lecture Notes in Control and Information Sciences, the description problem of digital images is transformed into the realization problem of digital images. This book is intended for researchers and graduate students who specialize in image processing and system theory.


Fundamentals of Stochastic Filtering

Fundamentals of Stochastic Filtering

Author: Alan Bain

Publisher: Springer Science & Business Media

Published: 2008-10-08

Total Pages: 395

ISBN-13: 0387768963

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This book provides a rigorous mathematical treatment of the non-linear stochastic filtering problem using modern methods. Particular emphasis is placed on the theoretical analysis of numerical methods for the solution of the filtering problem via particle methods. The book should provide sufficient background to enable study of the recent literature. While no prior knowledge of stochastic filtering is required, readers are assumed to be familiar with measure theory, probability theory and the basics of stochastic processes. Most of the technical results that are required are stated and proved in the appendices. Exercises and solutions are included.


H-infinity Control for Nonlinear Descriptor Systems

H-infinity Control for Nonlinear Descriptor Systems

Author: He-Sheng Wang

Publisher: Springer Science & Business Media

Published: 2006-01-18

Total Pages: 182

ISBN-13: 9781846282898

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The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear H-infinity control problem considering both state and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton–Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H2/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.