Author: Ülle Kotta
Publisher: Springer
ISBN: 3540393765
Category : Technology & Engineering
Languages : en
Pages : 159
Book Description
The purpose of this book is twofold: To survey control system design methods based on the system inversion technique and to collect into one place the many recent results in the field. It has been known for some time that inverse systems may be used to solve numerous control problems. Despite the importance and conceptual simplicity of this topic there appears to be no monograph written on it. The purpose of this work is therefore to present and apply a systematic design method which bases itself on the fundamental system property of invertibility. Many different theoretical and practical aspects are considered in this volume working from elementary topics in the first section to current research in the second.
Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems
Author: Ülle Kotta
Publisher: Springer
ISBN: 3540393765
Category : Technology & Engineering
Languages : en
Pages : 159
Book Description
The purpose of this book is twofold: To survey control system design methods based on the system inversion technique and to collect into one place the many recent results in the field. It has been known for some time that inverse systems may be used to solve numerous control problems. Despite the importance and conceptual simplicity of this topic there appears to be no monograph written on it. The purpose of this work is therefore to present and apply a systematic design method which bases itself on the fundamental system property of invertibility. Many different theoretical and practical aspects are considered in this volume working from elementary topics in the first section to current research in the second.
Publisher: Springer
ISBN: 3540393765
Category : Technology & Engineering
Languages : en
Pages : 159
Book Description
The purpose of this book is twofold: To survey control system design methods based on the system inversion technique and to collect into one place the many recent results in the field. It has been known for some time that inverse systems may be used to solve numerous control problems. Despite the importance and conceptual simplicity of this topic there appears to be no monograph written on it. The purpose of this work is therefore to present and apply a systematic design method which bases itself on the fundamental system property of invertibility. Many different theoretical and practical aspects are considered in this volume working from elementary topics in the first section to current research in the second.
Inverse system identification with applications in predistortion
Author: Ylva Jung
Publisher: Linköping University Electronic Press
ISBN: 9176851710
Category :
Languages : en
Pages : 224
Book Description
Models are commonly used to simulate events and processes, and can be constructed from measured data using system identification. The common way is to model the system from input to output, but in this thesis we want to obtain the inverse of the system. Power amplifiers (PAs) used in communication devices can be nonlinear, and this causes interference in adjacent transmitting channels. A prefilter, called predistorter, can be used to invert the effects of the PA, such that the combination of predistorter and PA reconstructs an amplified version of the input signal. In this thesis, the predistortion problem has been investigated for outphasing power amplifiers, where the input signal is decomposed into two branches that are amplified separately by highly efficient nonlinear amplifiers and then recombined. We have formulated a model structure describing the imperfections in an outphasing abbrPA and the matching ideal predistorter. The predistorter can be estimated from measured data in different ways. Here, the initially nonconvex optimization problem has been developed into a convex problem. The predistorters have been evaluated in measurements. The goal with the inverse models in this thesis is to use them in cascade with the systems to reconstruct the original input. It is shown that the problems of identifying a model of a preinverse and a postinverse are fundamentally different. It turns out that the true inverse is not necessarily the best one when noise is present, and that other models and structures can lead to better inversion results. To construct a predistorter (for a PA, for example), a model of the inverse is used, and different methods can be used for the estimation. One common method is to estimate a postinverse, and then using it as a preinverse, making it straightforward to try out different model structures. Another is to construct a model of the system and then use it to estimate a preinverse in a second step. This method identifies the inverse in the setup it will be used, but leads to a complicated optimization problem. A third option is to model the forward system and then invert it. This method can be understood using standard identification theory in contrast to the ones above, but the model is tuned for the forward system, not the inverse. Models obtained using the various methods capture different properties of the system, and a more detailed analysis of the methods is presented for linear time-invariant systems and linear approximations of block-oriented systems. The theory is also illustrated in examples. When a preinverse is used, the input to the system will be changed, and typically the input data will be different than the original input. This is why the estimation of preinverses is more complicated than for postinverses, and one set of experimental data is not enough. Here, we have shown that identifying a preinverse in series with the system in repeated experiments can improve the inversion performance.
Publisher: Linköping University Electronic Press
ISBN: 9176851710
Category :
Languages : en
Pages : 224
Book Description
Models are commonly used to simulate events and processes, and can be constructed from measured data using system identification. The common way is to model the system from input to output, but in this thesis we want to obtain the inverse of the system. Power amplifiers (PAs) used in communication devices can be nonlinear, and this causes interference in adjacent transmitting channels. A prefilter, called predistorter, can be used to invert the effects of the PA, such that the combination of predistorter and PA reconstructs an amplified version of the input signal. In this thesis, the predistortion problem has been investigated for outphasing power amplifiers, where the input signal is decomposed into two branches that are amplified separately by highly efficient nonlinear amplifiers and then recombined. We have formulated a model structure describing the imperfections in an outphasing abbrPA and the matching ideal predistorter. The predistorter can be estimated from measured data in different ways. Here, the initially nonconvex optimization problem has been developed into a convex problem. The predistorters have been evaluated in measurements. The goal with the inverse models in this thesis is to use them in cascade with the systems to reconstruct the original input. It is shown that the problems of identifying a model of a preinverse and a postinverse are fundamentally different. It turns out that the true inverse is not necessarily the best one when noise is present, and that other models and structures can lead to better inversion results. To construct a predistorter (for a PA, for example), a model of the inverse is used, and different methods can be used for the estimation. One common method is to estimate a postinverse, and then using it as a preinverse, making it straightforward to try out different model structures. Another is to construct a model of the system and then use it to estimate a preinverse in a second step. This method identifies the inverse in the setup it will be used, but leads to a complicated optimization problem. A third option is to model the forward system and then invert it. This method can be understood using standard identification theory in contrast to the ones above, but the model is tuned for the forward system, not the inverse. Models obtained using the various methods capture different properties of the system, and a more detailed analysis of the methods is presented for linear time-invariant systems and linear approximations of block-oriented systems. The theory is also illustrated in examples. When a preinverse is used, the input to the system will be changed, and typically the input data will be different than the original input. This is why the estimation of preinverses is more complicated than for postinverses, and one set of experimental data is not enough. Here, we have shown that identifying a preinverse in series with the system in repeated experiments can improve the inversion performance.
Linear Control Theory
Author: Frederick Walker Fairman
Publisher: John Wiley & Sons
ISBN: 9780471974895
Category : Science
Languages : en
Pages : 338
Book Description
Incorporating recent developments in control and systems research,Linear Control Theory provides the fundamental theoreticalbackground needed to fully exploit control system design software.This logically-structured text opens with a detailed treatment ofthe relevant aspects of the state space analysis of linear systems.End-of-chapter problems facilitate the learning process byencouraging the student to put his or her skills into practice.Features include: * The use of an easy to understand matrix variational technique todevelop the time-invariant quadratic and LQG controllers * A step-by-step introduction to essential mathematical ideas asthey are needed, motivating the reader to venture beyond basicconcepts * The examination of linear system theory as it relates to controltheory * The use of the PBH test to characterize eigenvalues in the statefeedback and observer problems rather than its usual role as a testfor controllability or observability * The development of model reduction via balanced realization * The employment of the L2 gain as a basis for the development ofthe H??? controller for the design of controllers in the presenceof plant model uncertainty Senior undergraduate and postgraduate control engineering studentsand practicing control engineers will appreciate the insight thisself-contained book offers into the intelligent use of today scontrol system software tools.
Publisher: John Wiley & Sons
ISBN: 9780471974895
Category : Science
Languages : en
Pages : 338
Book Description
Incorporating recent developments in control and systems research,Linear Control Theory provides the fundamental theoreticalbackground needed to fully exploit control system design software.This logically-structured text opens with a detailed treatment ofthe relevant aspects of the state space analysis of linear systems.End-of-chapter problems facilitate the learning process byencouraging the student to put his or her skills into practice.Features include: * The use of an easy to understand matrix variational technique todevelop the time-invariant quadratic and LQG controllers * A step-by-step introduction to essential mathematical ideas asthey are needed, motivating the reader to venture beyond basicconcepts * The examination of linear system theory as it relates to controltheory * The use of the PBH test to characterize eigenvalues in the statefeedback and observer problems rather than its usual role as a testfor controllability or observability * The development of model reduction via balanced realization * The employment of the L2 gain as a basis for the development ofthe H??? controller for the design of controllers in the presenceof plant model uncertainty Senior undergraduate and postgraduate control engineering studentsand practicing control engineers will appreciate the insight thisself-contained book offers into the intelligent use of today scontrol system software tools.
Time-Varying Systems and Computations
Author: Patrick DeWilde
Publisher: Springer Science & Business Media
ISBN: 1475728174
Category : Science
Languages : en
Pages : 457
Book Description
Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari able s or z and it is analytic in a large part of the complex plane. Many important prop erties of the system for which it is a transfer function are related to its analytic prop erties. On the other hand, engineers often encounter small and large matrices which describe (linear) maps between physically important quantities. In both cases similar mathematical and computational problems occur: operators, be they transfer functions or matrices, have to be simplified, approximated, decomposed and realized. Each field has developed theory and techniques to solve the main common problems encountered. Yet, there is a large, mysterious gap between complex function theory and numerical linear algebra. For example, complex function theory has solved the problem to find analytic functions of minimal complexity and minimal supremum norm that approxi e. g. , as optimal mate given values at strategic points in the complex plane. They serve approximants for a desired behavior of a system to be designed. No similar approxi mation theory for matrices existed until recently, except for the case where the matrix is (very) close to singular.
Publisher: Springer Science & Business Media
ISBN: 1475728174
Category : Science
Languages : en
Pages : 457
Book Description
Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari able s or z and it is analytic in a large part of the complex plane. Many important prop erties of the system for which it is a transfer function are related to its analytic prop erties. On the other hand, engineers often encounter small and large matrices which describe (linear) maps between physically important quantities. In both cases similar mathematical and computational problems occur: operators, be they transfer functions or matrices, have to be simplified, approximated, decomposed and realized. Each field has developed theory and techniques to solve the main common problems encountered. Yet, there is a large, mysterious gap between complex function theory and numerical linear algebra. For example, complex function theory has solved the problem to find analytic functions of minimal complexity and minimal supremum norm that approxi e. g. , as optimal mate given values at strategic points in the complex plane. They serve approximants for a desired behavior of a system to be designed. No similar approxi mation theory for matrices existed until recently, except for the case where the matrix is (very) close to singular.
Dynamics and Control of Process Systems 2004
Author: Sirish Shah
Publisher: Elsevier
ISBN: 9780080442976
Category : Science
Languages : en
Pages : 540
Book Description
Publisher: Elsevier
ISBN: 9780080442976
Category : Science
Languages : en
Pages : 540
Book Description
Model-based Process Supervision
Author: Arun Kumar Samantaray
Publisher: Springer Science & Business Media
ISBN: 1848001592
Category : Technology & Engineering
Languages : en
Pages : 489
Book Description
This book provides control engineers and workers in industrial and academic research establishments interested in process engineering with a means to build up a practical and functional supervisory control environment and to use sophisticated models to get the best use out of their process data. Several applications to academic and small-scale-industrial processes are discussed and the development of a supervision platform for an industrial plant is presented.
Publisher: Springer Science & Business Media
ISBN: 1848001592
Category : Technology & Engineering
Languages : en
Pages : 489
Book Description
This book provides control engineers and workers in industrial and academic research establishments interested in process engineering with a means to build up a practical and functional supervisory control environment and to use sophisticated models to get the best use out of their process data. Several applications to academic and small-scale-industrial processes are discussed and the development of a supervision platform for an industrial plant is presented.
Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems
Author: Thomas Meurer
Publisher: Springer Science & Business Media
ISBN: 9783540279389
Category : Technology & Engineering
Languages : en
Pages : 440
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9783540279389
Category : Technology & Engineering
Languages : en
Pages : 440
Book Description
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.
Introduction to Subsurface Imaging
Author: Bahaa Saleh
Publisher: Cambridge University Press
ISBN: 1139495348
Category : Computers
Languages : en
Pages : 455
Book Description
Describing and evaluating the basic principles and methods of subsurface sensing and imaging, Introduction to Subsurface Imaging is a clear and comprehensive treatment that links theory to a wide range of real-world applications in medicine, biology, security and geophysical/environmental exploration. It integrates the different sensing techniques (acoustic, electric, electromagnetic, optical, x-ray or particle beams) by unifying the underlying physical and mathematical similarities, and computational and algorithmic methods. Time-domain, spectral and multisensor methods are also covered, whilst all the necessary mathematical, statistical and linear systems tools are given in useful appendices to make the book self-contained. Featuring a logical blend of theory and applications, a wealth of color illustrations, homework problems and numerous case studies, this is suitable for use as both a course text and as a professional reference.
Publisher: Cambridge University Press
ISBN: 1139495348
Category : Computers
Languages : en
Pages : 455
Book Description
Describing and evaluating the basic principles and methods of subsurface sensing and imaging, Introduction to Subsurface Imaging is a clear and comprehensive treatment that links theory to a wide range of real-world applications in medicine, biology, security and geophysical/environmental exploration. It integrates the different sensing techniques (acoustic, electric, electromagnetic, optical, x-ray or particle beams) by unifying the underlying physical and mathematical similarities, and computational and algorithmic methods. Time-domain, spectral and multisensor methods are also covered, whilst all the necessary mathematical, statistical and linear systems tools are given in useful appendices to make the book self-contained. Featuring a logical blend of theory and applications, a wealth of color illustrations, homework problems and numerous case studies, this is suitable for use as both a course text and as a professional reference.
Microemulsions and Related Systems
Author: Maurice Bourrel
Publisher: Editions TECHNIP
ISBN: 9782710809562
Category : Emulsions
Languages : en
Pages : 416
Book Description
Beginning with P.A. Winsor's fundamental hypothesis on a natural interfacial curvature depending on the values of the formulation variables, this unique book shows scientists how to understand the intrinsic structure of these complex systems and their corresponding physical properties... predict how a change in one formulation variable (surfactant structure, oil structure, aqueous phase composition, temperature, etc.) will modify the microemulsion... and systematically formulate microemulsions for individual applications.This book provides a thermodynamic analysis supporting the existence of natural interfacial curvature... compares the behavior of commercial surfactant mixtures and pure isomeric surfactant molecules in order to point out differences and similarities highly significant for various uses... explains how micelles can evolve smoothly and continuously toward solutions containing large quantities of oil and water... gives procedures for fixing quantitative relationships among formulation variables... plus much more.Illustrated with more than 200 diagrams, tables, and photographs, and completely referenced, this superb volume is essential reading for surfactant, colloid, and physical chemists in both academe and industry, as well as chemical engineers, biotechnologists, and petroleum engineers.Contents: 1. The R-Ratio. 2. Aqueous solutions containing amphiphiles. 3. Nonpolar solutions containing amphiphiles. 4. The phase behavior and properties of solutions containing amphiphiles, organic liquids, and water: micellar solutions. 5. Methods for promoting phase changes. 6. Compensating changes between formulation variables. 7. Solubilization. 8. Thermodynamics of solubilized systems.
Publisher: Editions TECHNIP
ISBN: 9782710809562
Category : Emulsions
Languages : en
Pages : 416
Book Description
Beginning with P.A. Winsor's fundamental hypothesis on a natural interfacial curvature depending on the values of the formulation variables, this unique book shows scientists how to understand the intrinsic structure of these complex systems and their corresponding physical properties... predict how a change in one formulation variable (surfactant structure, oil structure, aqueous phase composition, temperature, etc.) will modify the microemulsion... and systematically formulate microemulsions for individual applications.This book provides a thermodynamic analysis supporting the existence of natural interfacial curvature... compares the behavior of commercial surfactant mixtures and pure isomeric surfactant molecules in order to point out differences and similarities highly significant for various uses... explains how micelles can evolve smoothly and continuously toward solutions containing large quantities of oil and water... gives procedures for fixing quantitative relationships among formulation variables... plus much more.Illustrated with more than 200 diagrams, tables, and photographs, and completely referenced, this superb volume is essential reading for surfactant, colloid, and physical chemists in both academe and industry, as well as chemical engineers, biotechnologists, and petroleum engineers.Contents: 1. The R-Ratio. 2. Aqueous solutions containing amphiphiles. 3. Nonpolar solutions containing amphiphiles. 4. The phase behavior and properties of solutions containing amphiphiles, organic liquids, and water: micellar solutions. 5. Methods for promoting phase changes. 6. Compensating changes between formulation variables. 7. Solubilization. 8. Thermodynamics of solubilized systems.
System Theory, the Schur Algorithm and Multidimensional Analysis
Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 3764381361
Category : Mathematics
Languages : en
Pages : 331
Book Description
This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion University of the Negev in June, 2005. The book will interest a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.
Publisher: Springer Science & Business Media
ISBN: 3764381361
Category : Mathematics
Languages : en
Pages : 331
Book Description
This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion University of the Negev in June, 2005. The book will interest a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.