Approximate And Noisy Realization Of Discrete Time Dynamical Systems

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Approximate and Noisy Realization of Discrete-Time Dynamical Systems

Yasumichi Hasegawa
Approximate and Noisy Realization of Discrete Time Dynamical Systems Book PDF

Author : Yasumichi Hasegawa
Publisher : Springer
Page : 0 pages
File Size : 40,6 Mb
Release : 2009-08-29
Category : Technology & Engineering
ISBN : 3540872329

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Approximate and Noisy Realization of Discrete-Time Dynamical Systems by Yasumichi Hasegawa Pdf

This monograph deals with approximation and noise cancellation of dynamical systems which include linear and nonlinear input/output relations. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory. From noisy or noiseless data, reductionwillbemade.Anewmethodwhichreducesnoiseormodelsinformation will be proposed. Using this method will allow model description to be treated as noise reduction or model reduction. As proof of the e?cacy, this monograph provides new results and their extensions which can also be applied to nonlinear dynamical systems. To present the e?ectiveness of our method, many actual examples of noise and model information reduction will also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e?ciency in the ?elds of control, economy, numerical analysis, and others. Noise reduction problems in the analysis of noisy dynamical systems may havebecomeamajorthemeoftechnologyafter1974foremphasizinge?ciencyin control.However,thesubjectsoftheseresearcheshavebeenmainlyconcentrated in linear systems. In common model reduction of linear systems in use today, a singular value decompositionofaHankelmatrixisusedto?ndareducedordermodel.However, the existence of the conditions of the reduced order model are derived without evaluationoftheresultantmodel.Inthecommontypicalnoisereductionoflinear systems in use today, the order and parameters of the systems are determined by minimizing information criterion. Approximate and noisy realization problems for input/output relations can be roughly stated as follows: A. The approximate realization problem. For any input/output map, ?nd one mathematical model such that it is similar totheinput/outputmapandhasalowerdimensionthanthegivenminimalstate spaceofadynamicalsystemwhichhasthesamebehaviortotheinput/outputmap. B. The noisy realization problem.

Approximate and Noisy Realization of Discrete-Time Dynamical Systems

Yasumichi Hasegawa
Approximate and Noisy Realization of Discrete Time Dynamical Systems Book PDF

Author : Yasumichi Hasegawa
Publisher : Springer
Page : 248 pages
File Size : 53,8 Mb
Release : 2008-06-11
Category : Technology & Engineering
ISBN : 9783540794349

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Approximate and Noisy Realization of Discrete-Time Dynamical Systems by Yasumichi Hasegawa Pdf

This monograph deals with approximation and noise cancellation of dynamical systems which include linear and nonlinear input/output relations. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory. From noisy or noiseless data, reductionwillbemade.Anewmethodwhichreducesnoiseormodelsinformation will be proposed. Using this method will allow model description to be treated as noise reduction or model reduction. As proof of the e?cacy, this monograph provides new results and their extensions which can also be applied to nonlinear dynamical systems. To present the e?ectiveness of our method, many actual examples of noise and model information reduction will also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e?ciency in the ?elds of control, economy, numerical analysis, and others. Noise reduction problems in the analysis of noisy dynamical systems may havebecomeamajorthemeoftechnologyafter1974foremphasizinge?ciencyin control.However,thesubjectsoftheseresearcheshavebeenmainlyconcentrated in linear systems. In common model reduction of linear systems in use today, a singular value decompositionofaHankelmatrixisusedto?ndareducedordermodel.However, the existence of the conditions of the reduced order model are derived without evaluationoftheresultantmodel.Inthecommontypicalnoisereductionoflinear systems in use today, the order and parameters of the systems are determined by minimizing information criterion. Approximate and noisy realization problems for input/output relations can be roughly stated as follows: A. The approximate realization problem. For any input/output map, ?nd one mathematical model such that it is similar totheinput/outputmapandhasalowerdimensionthanthegivenminimalstate spaceofadynamicalsystemwhichhasthesamebehaviortotheinput/outputmap. B. The noisy realization problem.

Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images

Yasumichi Hasegawa
Algebraically Approximate and Noisy Realization of Discrete Time Systems and Digital Images Book PDF

Author : Yasumichi Hasegawa
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 44,9 Mb
Release : 2009-09-30
Category : Technology & Engineering
ISBN : 9783642032172

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Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images by Yasumichi Hasegawa Pdf

This monograph deals with approximation and noise cancellation of dyn- ical systems which include linear and nonlinear input/output relationships. It also deal with approximation and noise cancellation of two dimensional arrays. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory and d- ital images. This monograph is composed of two parts. Part I and Part II will deal with approximation and noise cancellation of dynamical systems or digital images respectively. From noiseless or noisy data, reduction will be made. A method which reduces model information or noise was proposed in the reference vol. 376 in LNCIS [Hasegawa, 2008]. Using this method will allow model description to be treated as noise reduction or model reduction without having to bother, for example, with solving many partial di?er- tial equations. This monograph will propose a new and easy method which produces the same results as the method treated in the reference. As proof of its advantageous e?ect, this monograph provides a new law in the sense of numerical experiments. The new and easy method is executed using the algebraic calculations without solving partial di?erential equations. For our purpose,manyactualexamplesofmodelinformationandnoisereductionwill also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e?ciency in the ?elds of control, economy, numerical analysis, and others.

Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images

Yasumichi Hasegawa
Algebraically Approximate and Noisy Realization of Discrete Time Systems and Digital Images Book PDF

Author : Yasumichi Hasegawa
Publisher : Springer
Page : 255 pages
File Size : 49,7 Mb
Release : 2009-10-12
Category : Technology & Engineering
ISBN : 3642032184

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Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images by Yasumichi Hasegawa Pdf

This monograph deals with approximation and noise cancellation of dyn- ical systems which include linear and nonlinear input/output relationships. It also deal with approximation and noise cancellation of two dimensional arrays. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory and d- ital images. This monograph is composed of two parts. Part I and Part II will deal with approximation and noise cancellation of dynamical systems or digital images respectively. From noiseless or noisy data, reduction will be made. A method which reduces model information or noise was proposed in the reference vol. 376 in LNCIS [Hasegawa, 2008]. Using this method will allow model description to be treated as noise reduction or model reduction without having to bother, for example, with solving many partial di?er- tial equations. This monograph will propose a new and easy method which produces the same results as the method treated in the reference. As proof of its advantageous e?ect, this monograph provides a new law in the sense of numerical experiments. The new and easy method is executed using the algebraic calculations without solving partial di?erential equations. For our purpose,manyactualexamplesofmodelinformationandnoisereductionwill also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e?ciency in the ?elds of control, economy, numerical analysis, and others.

Control Problems of Discrete-Time Dynamical Systems

Yasumichi Hasegawa
Control Problems of Discrete Time Dynamical Systems Book PDF

Author : Yasumichi Hasegawa
Publisher : Springer
Page : 233 pages
File Size : 55,9 Mb
Release : 2015-01-20
Category : Technology & Engineering
ISBN : 9783319146300

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Control Problems of Discrete-Time Dynamical Systems by Yasumichi Hasegawa Pdf

This monograph deals with control problems of discrete-time dynamical systems which include linear and nonlinear input/output relations In its present second enlarged edition the control problems of linear and non-linear dynamical systems will be solved as algebraically as possible. Adaptive control problems are newly proposed and solved for dynamical systems which satisfy the time-invariant condition. The monograph provides new results and their extensions which can also be more applicable for nonlinear dynamical systems. A new method which produces manipulated inputs is presented in the sense of state control and output control. To present the effectiveness of the method, many numerical examples of control problems are provided as well.

System Theory of Continuous Time Finite Dimensional Dynamical Systems

Yasumichi Hasegawa
System Theory of Continuous Time Finite Dimensional Dynamical Systems Book PDF

Author : Yasumichi Hasegawa
Publisher : Springer Nature
Page : 221 pages
File Size : 55,8 Mb
Release : 2019-09-26
Category : Technology & Engineering
ISBN : 9783030304805

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System Theory of Continuous Time Finite Dimensional Dynamical Systems by Yasumichi Hasegawa Pdf

This book discusses the realization and control problems of finite-dimensional dynamical systems which contain linear and nonlinear systems. The author focuses on algebraic methods for the discussion of control problems of linear and non-linear dynamical systems. The book contains detailed examples to showcase the effectiveness of the presented method. The target audience comprises primarily research experts in the field of control theory, but the book may also be beneficial for graduate students alike.

Analysis and Synthesis of Dynamical Systems with Time-Delays

Yuanqing Xia,Mengyin Fu,Peng Shi
Analysis and Synthesis of Dynamical Systems with Time Delays Book PDF

Author : Yuanqing Xia,Mengyin Fu,Peng Shi
Publisher : Springer
Page : 284 pages
File Size : 40,9 Mb
Release : 2009-10-06
Category : Technology & Engineering
ISBN : 9783642026966

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Analysis and Synthesis of Dynamical Systems with Time-Delays by Yuanqing Xia,Mengyin Fu,Peng Shi Pdf

Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

Linear, Time-varying Approximations to Nonlinear Dynamical Systems

Maria Tomas-Rodriguez,Stephen P. Banks
Linear Time varying Approximations to Nonlinear Dynamical Systems Book PDF

Author : Maria Tomas-Rodriguez,Stephen P. Banks
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 52,5 Mb
Release : 2010-02-04
Category : Mathematics
ISBN : 9781849961004

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Linear, Time-varying Approximations to Nonlinear Dynamical Systems by Maria Tomas-Rodriguez,Stephen P. Banks Pdf

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Reconfigurable Control of Nonlinear Dynamical Systems

Jan H. Richter
Reconfigurable Control of Nonlinear Dynamical Systems Book PDF

Author : Jan H. Richter
Publisher : Springer
Page : 299 pages
File Size : 41,8 Mb
Release : 2011-02-02
Category : Technology & Engineering
ISBN : 9783642176289

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Reconfigurable Control of Nonlinear Dynamical Systems by Jan H. Richter Pdf

This research monograph summarizes solutions to reconfigurable fault-tolerant control problems for nonlinear dynamical systems that are based on the fault-hiding principle. It emphasizes but is not limited to complete actuator and sensor failures. In the first part, the monograph starts with a broad introduction of the control reconfiguration problems and objectives as well as summaries and explanations of solutions for linear dynamical systems. The solution is always a reconfiguration block, which consists of linear virtual actuators in the case of actuator faults and linear virtual sensors in the case of sensor faults. The main advantage of the fault-hiding concept is the reusability of the nominal controller, which remains in the loop as an active system while the virtual actuator and sensor adapt the control input and the measured output to the fault scenario. The second and third parts extend virtual actuators and virtual sensors towards the classes of Hammerstein-Wiener systems and piecewise affine systems. The main analyses concern stability recovery, setpoint tracking recovery, and performance recovery as reconfiguration objectives. The fourth part concludes the monograph with descriptions of practical implementations and case studies. The book is primarily intended for active researchers and practicing engineers in the field of fault-tolerant control. Due to many running examples it is also suitable for interested graduate students.

Functional Observers for Dynamical Systems

Hieu Trinh,Tyrone Fernando
Functional Observers for Dynamical Systems Book PDF

Author : Hieu Trinh,Tyrone Fernando
Publisher : Springer
Page : 226 pages
File Size : 53,9 Mb
Release : 2011-10-22
Category : Technology & Engineering
ISBN : 9783642240645

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Functional Observers for Dynamical Systems by Hieu Trinh,Tyrone Fernando Pdf

The theory of linear functional observers, which is the subject of this book, is increasingly becoming a popular researched topic because of the many advantages it presents in state observation and control system design. This book presents recent information on the current state of the art research in this field. This book will serve as a useful reference to researchers in this area of research to understand the fundamental concepts relevant to the theory of functional observers and to gather most recent advancements in the field. This book is useful to academics and postgraduate students researching into the theory of linear functional observers. This book can also be useful for specialized final year undergraduate courses in control systems engineering and applied mathematics with a research focus.

Model Abstraction in Dynamical Systems: Application to Mobile Robot Control

Patricia Mellodge,Pushkin Kachroo
Model Abstraction in Dynamical Systems Application to Mobile Robot Control Book PDF

Author : Patricia Mellodge,Pushkin Kachroo
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 44,7 Mb
Release : 2008-09-02
Category : Technology & Engineering
ISBN : 9783540707929

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Model Abstraction in Dynamical Systems: Application to Mobile Robot Control by Patricia Mellodge,Pushkin Kachroo Pdf

The subject of this book is model abstraction of dynamical systems. The p- mary goal of the work embodied in this book is to design a controller for the mobile robotic car using abstraction. Abstraction provides a means to rep- sent the dynamics of a system using a simpler model while retaining important characteristics of the original system. A second goal of this work is to study the propagation of uncertain initial conditions in the framework of abstraction. The summation of this work is presented in this book. It includes the following: • An overview of the history and current research in mobile robotic control design. • A mathematical review that provides the tools used in this research area. • The development of the robotic car model and both controllers used in the new control design. • A review of abstraction and an extension of these ideas into new system relationship characterizations called traceability and -traceability. • A framework for designing controllers based on abstraction. • An open-loop control design with simulation results. • An investigation of system abstraction with uncertain initial conditions.

Time Delay Systems: Methods, Applications and New Trends

Rifat Sipahi,Tomáš Vyhlídal,Silviu-Iulian Niculescu,Pierdomenico Pepe
Time Delay Systems Methods Applications and New Trends Book PDF

Author : Rifat Sipahi,Tomáš Vyhlídal,Silviu-Iulian Niculescu,Pierdomenico Pepe
Publisher : Springer
Page : 442 pages
File Size : 45,6 Mb
Release : 2012-02-23
Category : Technology & Engineering
ISBN : 9783642252211

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Time Delay Systems: Methods, Applications and New Trends by Rifat Sipahi,Tomáš Vyhlídal,Silviu-Iulian Niculescu,Pierdomenico Pepe Pdf

This volume is concerned with the control and dynamics of time delay systems; a research field with at least six-decade long history that has been very active especially in the past two decades. In parallel to the new challenges emerging from engineering, physics, mathematics, and economics, the volume covers several new directions including topology induced stability, large-scale interconnected systems, roles of networks in stability, and new trends in predictor-based control and consensus dynamics. The associated applications/problems are described by highly complex models, and require solving inverse problems as well as the development of new theories, mathematical tools, numerically-tractable algorithms for real-time control. The volume, which is targeted to present these developments in this rapidly evolving field, captures a careful selection of the most recent papers contributed by experts and collected under five parts: (i) Methodology: From Retarded to Neutral Continuous Delay Models, (ii) Systems, Signals and Applications, (iii): Numerical Methods, (iv) Predictor-based Control and Compensation, and (v) Networked Control Systems and Multi-agent Systems.

Positive Systems

Rafael Bru,Sergio Romero-Vivó
Positive Systems Book PDF

Author : Rafael Bru,Sergio Romero-Vivó
Publisher : Springer
Page : 398 pages
File Size : 46,8 Mb
Release : 2009-09-30
Category : Technology & Engineering
ISBN : 9783642028946

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Positive Systems by Rafael Bru,Sergio Romero-Vivó Pdf

This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.

Selected Problems of Fractional Systems Theory

Tadeusz Kaczorek
Selected Problems of Fractional Systems Theory Book PDF

Author : Tadeusz Kaczorek
Publisher : Springer
Page : 346 pages
File Size : 54,9 Mb
Release : 2011-05-10
Category : Technology & Engineering
ISBN : 9783642205026

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Selected Problems of Fractional Systems Theory by Tadeusz Kaczorek Pdf

This monograph covers some selected problems of positive fractional 1D and 2D linear systems. It is an extended and modified English version of its preceding Polish edition published by Technical University of Bialystok in 2009. This book is based on the lectures delivered by the author to the Ph.D. students of the Faculty of Electrical Engineering of Bialystok University of Technology and of Warsaw University of Technology and on invited lectures in several foreign universities in the last three years.

Control Technologies for Emerging Micro and Nanoscale Systems

Evangelos Eleftheriou,S.O. Reza Moheimani
Control Technologies for Emerging Micro and Nanoscale Systems Book PDF

Author : Evangelos Eleftheriou,S.O. Reza Moheimani
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 55,8 Mb
Release : 2011-07-15
Category : Technology & Engineering
ISBN : 9783642221729

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Control Technologies for Emerging Micro and Nanoscale Systems by Evangelos Eleftheriou,S.O. Reza Moheimani Pdf

This book comprises a selection of the presentations made at the “Workshop on Dynamics and Control of Micro and Nanoscale Systems” held at IBM Research – Zurich, Switzerland, on the 10th and 11th of December 2009. The aim of the workshop was to bring together some of the leading researchers in the field of dynamics and control of micro- and nanoscale systems. It proved an excellent forum for discussing new ideas and approaches.