Linear Time Varying Approximations To Nonlinear Dynamical Systems

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Linear Time Varying Approximations To Nonlinear Dynamical Systems
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Author : Maria Tomas-Rodriguez
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-04
Linear Time Varying Approximations To Nonlinear Dynamical Systems written by Maria Tomas-Rodriguez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.
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
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Author : Jan H. Richter
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-16
Reconfigurable Control Of Nonlinear Dynamical Systems written by Jan H. Richter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-16 with Technology & Engineering categories.
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.
Mathematical Methods For Robust And Nonlinear Control
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Author : Matthew C. Turner
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-23
Mathematical Methods For Robust And Nonlinear Control written by Matthew C. Turner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-23 with Technology & Engineering categories.
The underlying theory on which much modern robust and nonlinear control is based can be difficult to grasp. This volume is a collection of lecture notes presented by experts in advanced control engineering. The book is designed to provide a better grounding in the theory underlying several important areas of control. It is hoped the book will help the reader to apply otherwise abstruse ideas of nonlinear control in a variety of real systems.
Functional Observers For Dynamical Systems
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Author : Hieu Trinh
language : en
Publisher: Springer
Release Date : 2011-10-22
Functional Observers For Dynamical Systems written by Hieu Trinh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-22 with Technology & Engineering categories.
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.
Flight Dynamics And Control Of Aero And Space Vehicles
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Author : Rama K. Yedavalli
language : en
Publisher: John Wiley & Sons
Release Date : 2020-02-25
Flight Dynamics And Control Of Aero And Space Vehicles written by Rama K. Yedavalli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-25 with Technology & Engineering categories.
Flight Vehicle Dynamics and Control Rama K. Yedavalli, The Ohio State University, USA A comprehensive textbook which presents flight vehicle dynamics and control in a unified framework Flight Vehicle Dynamics and Control presents the dynamics and control of various flight vehicles, including aircraft, spacecraft, helicopter, missiles, etc, in a unified framework. It covers the fundamental topics in the dynamics and control of these flight vehicles, highlighting shared points as well as differences in dynamics and control issues, making use of the ‘systems level’ viewpoint. The book begins with the derivation of the equations of motion for a general rigid body and then delineates the differences between the dynamics of various flight vehicles in a fundamental way. It then focuses on the dynamic equations with application to these various flight vehicles, concentrating more on aircraft and spacecraft cases. Then the control systems analysis and design is carried out both from transfer function, classical control, as well as modern, state space control points of view. Illustrative examples of application to atmospheric and space vehicles are presented, emphasizing the ‘systems level’ viewpoint of control design. Key features: Provides a comprehensive treatment of dynamics and control of various flight vehicles in a single volume. Contains worked out examples (including MATLAB examples) and end of chapter homework problems. Suitable as a single textbook for a sequence of undergraduate courses on flight vehicle dynamics and control. Accompanied by a website that includes additional problems and a solutions manual. The book is essential reading for undergraduate students in mechanical and aerospace engineering, engineers working on flight vehicle control, and researchers from other engineering backgrounds working on related topics.
Numerical Analysis 1999
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Author : G.A. Watson
language : en
Publisher: CRC Press
Release Date : 2000-03-27
Numerical Analysis 1999 written by G.A. Watson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-27 with Mathematics categories.
Of considerable importance to numerical analysts, this text contains the proceedings of the 18th Dundee Biennial Conference on Numerical Analysis, featuring eminent analysts and current topics. The papers cover everything from partial differential equations to linear algebra and approximation theory and contain contributions from the leading experts in the field. The applications range from image processing and molecular dynamics to superconductivity. If you rely on numerical methods, Numerical Analysis 1999 will serve as an essential guide to the direction of current research.
Measurement Of Time Varying And Nonlinear Dynamic Characteristics Of Human Pilots
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Author : Jerome I. Elkind
language : en
Publisher:
Release Date : 1962
Measurement Of Time Varying And Nonlinear Dynamic Characteristics Of Human Pilots written by Jerome I. Elkind and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Human engineering categories.
A model matching or mimicking technique for measurement of linear time-varying dynamic systems and nonlinear dynamic systems is presented. The model used is composed of filters whose impulse responses are orthonormal. The filters were connected in parallel and their outputs weighted and added together. The weights are determined so that the mean-square difference between the output of the model and the output of the system is minimum. A model composed of a few filters can approximate with small error a large variety of systems, provided the impulse responses of the filters used in the model resemble the impulse response of the system. The use of orthogonalized exponential filters for measuring systems whose poles are real is discussed. The model weights are shown to be coefficients of regression of the system output on the filter outputs. When the residual error, the part of the system output that cannot be accounted for by the model, has a normal disribution, the weights also have a normal distribution. Relations for estimating the length of samples of the system input and output signals required to determine the weights with given confidence limits are derived. Time-varying systems are measured by determining successively the model weights from short samples of the input and output signals. Nonlinear systems are measured by combining the modeling technique with a piecewise linearization technique in which system input space is partitioned into regions and model weigts are determined for each region.
Nature Inspired Optimizers
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Author : Seyedali Mirjalili
language : en
Publisher: Springer
Release Date : 2019-02-01
Nature Inspired Optimizers written by Seyedali Mirjalili and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Computers categories.
This book covers the conventional and most recent theories and applications in the area of evolutionary algorithms, swarm intelligence, and meta-heuristics. Each chapter offers a comprehensive description of a specific algorithm, from the mathematical model to its practical application. Different kind of optimization problems are solved in this book, including those related to path planning, image processing, hand gesture detection, among others. All in all, the book offers a tutorial on how to design, adapt, and evaluate evolutionary algorithms. Source codes for most of the proposed techniques have been included as supplementary materials on a dedicated webpage.
Averaging Methods In Nonlinear Dynamical Systems
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Author : Jan A. Sanders
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-18
Averaging Methods In Nonlinear Dynamical Systems written by Jan A. Sanders and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-18 with Mathematics categories.
Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added. Review of First Edition "One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews
Asd Technical Report
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Author : United States. Air Force. Systems Command. Aeronautical Systems Division
language : en
Publisher:
Release Date : 1961
Asd Technical Report written by United States. Air Force. Systems Command. Aeronautical Systems Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Aeronautics categories.