Predictor Feedback For Delay Systems Implementations And Approximations

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Predictor Feedback for Delay Systems: Implementations and Approximations

Author : Iasson Karafyllis
Publisher : Birkhäuser
ISBN 13 : 3319423789
Total Pages : 309 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Predictor Feedback for Delay Systems: Implementations and Approximations by : Iasson Karafyllis

Download or read book Predictor Feedback for Delay Systems: Implementations and Approximations written by Iasson Karafyllis and published by Birkhäuser. This book was released on 2017-03-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph bridges the gap between the nonlinear predictor as a concept and as a practical tool, presenting a complete theory of the application of predictor feedback to time-invariant, uncertain systems with constant input delays and/or measurement delays. It supplies several methods for generating the necessary real-time solutions to the systems’ nonlinear differential equations, which the authors refer to as approximate predictors. Predictor feedback for linear time-invariant (LTI) systems is presented in Part I to provide a solid foundation on the necessary concepts, as LTI systems pose fewer technical difficulties than nonlinear systems. Part II extends all of the concepts to nonlinear time-invariant systems. Finally, Part III explores extensions of predictor feedback to systems described by integral delay equations and to discrete-time systems. The book’s core is the design of control and observer algorithms with which global stabilization, guaranteed in the previous literature with idealized (but non-implementable) predictors, is preserved with approximate predictors developed in the book. An applications-driven engineer will find a large number of explicit formulae, which are given throughout the book to assist in the application of the theory to a variety of control problems. A mathematician will find sophisticated new proof techniques, which are developed for the purpose of providing global stability guarantees for the nonlinear infinite-dimensional delay system under feedback laws employing practically implementable approximate predictors. Researchers working on global stabilization problems for time-delay systems will find this monograph to be a helpful summary of the state of the art, while graduate students in the broad field of systems and control will advance their skills in nonlinear control design and the analysis of nonlinear delay systems.

Control Strategy for Time-Delay Systems

Author : Mohammad-Hassan Khooban
Publisher : Academic Press
ISBN 13 : 0128206144
Total Pages : 438 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Control Strategy for Time-Delay Systems by : Mohammad-Hassan Khooban

Download or read book Control Strategy for Time-Delay Systems written by Mohammad-Hassan Khooban and published by Academic Press. This book was released on 2020-11-21 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Strategy for Time-Delay Systems Part I: Concepts and Theories covers all the important features of real-world practical applications which will be valuable to practicing engineers and specialists, especially given that delays are present in 99% of industrial processes. The book presents the views of the editors on promising research directions and future industrial applications in this area. Although the fundamentals of time-delay systems are discussed, the book focuses on the advanced modeling and control of such systems and will provide the analysis and test (or simulation) results of nearly every technique described. For this purpose, highly complex models are introduced to ?describe the mentioned new applications, which are characterized by ?time-varying delays with intermittent and stochastic nature, several types of nonlinearities, and the presence ?of different time-scales. Researchers, practitioners, and PhD students will gain insights into the prevailing trends in design and operation of real-time control systems, reviewing the shortcomings and future developments concerning practical system issues, such as standardization, protection, and design. Presents an overview of the most recent trends for time-delay systems Covers the important features of the real-world practical applications that can be valuable to practicing engineers and specialists Provides analysis and simulations results of the techniques described in the book

Delay-Adaptive Linear Control

Author : Yang Zhu
Publisher : Princeton University Press
ISBN 13 : 0691202540
Total Pages : 354 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Delay-Adaptive Linear Control by : Yang Zhu

Download or read book Delay-Adaptive Linear Control written by Yang Zhu and published by Princeton University Press. This book was released on 2020-04-28 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic predictor feedback for single-input systems -- Basic idea of adaptive control for single-input systems -- Single-input systems with full relative degree -- Single-input systems with arbitrary relative degree -- Exact predictor feedback for multi-input systems -- Full-state feedback of uncertain multi-input systems -- Output feedback of uncertain multi-input systems -- Output feedback of systems with uncertain delays, parameters and ODE state -- Predictor feedback for uncertainty-free systems -- Predictor feedback of uncertain single-input systems -- Predictor feedback of uncertain multi-input systems.

Input-to-State Stability for PDEs

Author : Iasson Karafyllis
Publisher : Springer
ISBN 13 : 3319910116
Total Pages : 296 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Input-to-State Stability for PDEs by : Iasson Karafyllis

Download or read book Input-to-State Stability for PDEs written by Iasson Karafyllis and published by Springer. This book was released on 2018-06-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: PDEs (of either class) with static maps; PDEs (again, of either class) with ODEs; PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and feedback loops of PDEs of different classes (parabolic with hyperbolic). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including—for PDEs that include non-local terms—backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others.

Truncated Predictor Feedback for Time-Delay Systems

Author : Bin Zhou
Publisher : Springer
ISBN 13 : 9783662514610
Total Pages : 0 pages
Book Rating : 4.5/5 (146 download)

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Book Synopsis Truncated Predictor Feedback for Time-Delay Systems by : Bin Zhou

Download or read book Truncated Predictor Feedback for Time-Delay Systems written by Bin Zhou and published by Springer. This book was released on 2016-09-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic approach to the design of predictor based controllers for (time-varying) linear systems with either (time-varying) input or state delays. Differently from those traditional predictor based controllers, which are infinite-dimensional static feedback laws and may cause difficulties in their practical implementation, this book develops a truncated predictor feedback (TPF) which involves only finite dimensional static state feedback. Features and topics: A novel approach referred to as truncated predictor feedback for the stabilization of (time-varying) time-delay systems in both the continuous-time setting and the discrete-time setting is built systematically Semi-global and global stabilization problems of linear time-delay systems subject to either magnitude saturation or energy constraints are solved in a systematic manner Both stabilization of a single system and consensus of a group of systems (multi-agent systems) are treated in a unified manner by applying the truncated predictor feedback and predictor feedback The properties of the solutions to a class of parametric (differential and difference) Lyapunov matrix equations are presented in detail Detailed numerical examples and applications to the spacecraft rendezvous and formation flying problems are provided to demonstrate the usefulness of the presented theoretical results This book can be a useful resource for the researchers, engineers, and graduate students in the fields of control, applied mathematics, mechanical engineering, electrical engineering, and aerospace engineering.

Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay

Author : Yusheng Wei
Publisher : Springer Nature
ISBN 13 : 3030534294
Total Pages : 349 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay by : Yusheng Wei

Download or read book Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay written by Yusheng Wei and published by Springer Nature. This book was released on 2020-10-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first of its kind to present innovative research results on truncated predictor feedback (TPF) designs for general linear systems with input delay. Beginning with a brief review of time delay systems, the first half of the book focuses on TPF with a constant feedback parameter. Both state feedback and output feedback are considered. It is established that TPF achieves stabilization in the presence of an arbitrarily large bounded delay if the open loop system is not exponentially unstable. Examples are presented to illustrate that TPF may fail to stabilize an exponentially unstable system when the delay is sufficiently large. Bounds on the delay are then established under which stabilization can be achieved. The second half of the book explores variations of the TPF laws designed with a non-constant feedback parameter to accommodate unknown delays and improve closed-loop performance. The authors employ a step-by-step approach to presenting the ultimate result on a completely delay-independent feedback law. Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay will appeal to control engineers, control theorists, and graduate students studying control systems. This volume will also be a valuable resource for engineers and applied mathematicians interested in dynamic systems with time delays.

Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay

Author : Yusheng Wei
Publisher : Birkhäuser
ISBN 13 : 9783030534288
Total Pages : 344 pages
Book Rating : 4.5/5 (342 download)

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Book Synopsis Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay by : Yusheng Wei

Download or read book Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay written by Yusheng Wei and published by Birkhäuser. This book was released on 2021-01-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first of its kind to present innovative research results on truncated predictor feedback (TPF) designs for general linear systems with input delay. Beginning with a brief review of time delay systems, the first half of the book focuses on TPF with a constant feedback parameter. Both state feedback and output feedback are considered. It is established that TPF achieves stabilization in the presence of an arbitrarily large bounded delay if the open loop system is not exponentially unstable. Examples are presented to illustrate that TPF may fail to stabilize an exponentially unstable system when the delay is sufficiently large. Bounds on the delay are then established under which stabilization can be achieved. The second half of the book explores variations of the TPF laws designed with a non-constant feedback parameter to accommodate unknown delays and improve closed-loop performance. The authors employ a step-by-step approach to presenting the ultimate result on a completely delay-independent feedback law. Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay will appeal to control engineers, control theorists, and graduate students studying control systems. This volume will also be a valuable resource for engineers and applied mathematicians interested in dynamic systems with time delays.

Delay Compensation for Nonlinear, Adaptive, and PDE Systems

Author : Miroslav Krstic
Publisher : Springer Science & Business Media
ISBN 13 : 0817648771
Total Pages : 458 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Delay Compensation for Nonlinear, Adaptive, and PDE Systems by : Miroslav Krstic

Download or read book Delay Compensation for Nonlinear, Adaptive, and PDE Systems written by Miroslav Krstic and published by Springer Science & Business Media. This book was released on 2010-01-23 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. It is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Replete with examples, Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference guide for graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.

Recent Results on Nonlinear Delay Control Systems

Author : Iasson Karafyllis
Publisher : Springer
ISBN 13 : 331918072X
Total Pages : 406 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Recent Results on Nonlinear Delay Control Systems by : Iasson Karafyllis

Download or read book Recent Results on Nonlinear Delay Control Systems written by Iasson Karafyllis and published by Springer. This book was released on 2015-07-15 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects recent advances in nonlinear delay systems, with an emphasis on constructive generalized Lyapunov and predictive approaches that certify stability properties. The book is written by experts in the field and includes two chapters by Miroslav Krstic, to whom this volume is dedicated. This volume is suitable for all researchers in mathematics and engineering who deal with nonlinear delay control problems and students who would like to understand the current state of the art in the control of nonlinear delay systems.

Extremum Seeking Through Delays and PDEs

Author : Tiago Roux Oliveira
Publisher : SIAM
ISBN 13 : 1611977355
Total Pages : 461 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Extremum Seeking Through Delays and PDEs by : Tiago Roux Oliveira

Download or read book Extremum Seeking Through Delays and PDEs written by Tiago Roux Oliveira and published by SIAM. This book was released on 2022-12-05 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. Readers will find numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed, extensions from single-player optimization to noncooperative games, under delays and PDEs, are provided, the delays and PDEs are compensated in the control designs using the PDE backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory, and accessible and powerful tools for analysis. This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.

Truncated Predictor Feedback for Time-Delay Systems

Author : Bin Zhou
Publisher : Springer
ISBN 13 : 3642542069
Total Pages : 494 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Truncated Predictor Feedback for Time-Delay Systems by : Bin Zhou

Download or read book Truncated Predictor Feedback for Time-Delay Systems written by Bin Zhou and published by Springer. This book was released on 2014-05-29 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic approach to the design of predictor based controllers for (time-varying) linear systems with either (time-varying) input or state delays. Differently from those traditional predictor based controllers, which are infinite-dimensional static feedback laws and may cause difficulties in their practical implementation, this book develops a truncated predictor feedback (TPF) which involves only finite dimensional static state feedback. Features and topics: A novel approach referred to as truncated predictor feedback for the stabilization of (time-varying) time-delay systems in both the continuous-time setting and the discrete-time setting is built systematically Semi-global and global stabilization problems of linear time-delay systems subject to either magnitude saturation or energy constraints are solved in a systematic manner Both stabilization of a single system and consensus of a group of systems (multi-agent systems) are treated in a unified manner by applying the truncated predictor feedback and predictor feedback The properties of the solutions to a class of parametric (differential and difference) Lyapunov matrix equations are presented in detail Detailed numerical examples and applications to the spacecraft rendezvous and formation flying problems are provided to demonstrate the usefulness of the presented theoretical results This book can be a useful resource for the researchers, engineers, and graduate students in the fields of control, applied mathematics, mechanical engineering, electrical engineering, and aerospace engineering.

Stability, Control, and Computation for Time-Delay Systems

Author : Wim Michiels
Publisher : SIAM
ISBN 13 : 1611973627
Total Pages : 443 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Stability, Control, and Computation for Time-Delay Systems by : Wim Michiels

Download or read book Stability, Control, and Computation for Time-Delay Systems written by Wim Michiels and published by SIAM. This book was released on 2014-12-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.? In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.?

Applications of Time Delay Systems

Author : John Chiasson
Publisher : Springer
ISBN 13 : 3540495568
Total Pages : 355 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Applications of Time Delay Systems by : John Chiasson

Download or read book Applications of Time Delay Systems written by John Chiasson and published by Springer. This book was released on 2007-04-16 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an update of the latest research in control of time delay systems and applications by world leading experts. It will appeal to engineers, researchers and students in Control.

Theory And Practice Of Control And Systems - Proceedings Of The 6th Ieee Mediterranean Conference

Author : Antonio Tornambe
Publisher : World Scientific
ISBN 13 : 9814632465
Total Pages : 863 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Theory And Practice Of Control And Systems - Proceedings Of The 6th Ieee Mediterranean Conference by : Antonio Tornambe

Download or read book Theory And Practice Of Control And Systems - Proceedings Of The 6th Ieee Mediterranean Conference written by Antonio Tornambe and published by World Scientific. This book was released on 1999-01-04 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers together all the lectures presented at the 6th IEEE Mediterranean Conference. It focuses on the mathematical aspects in the theory and practice of control and systems, including stability and stabilizability, robust control, adaptive control, robotics and manufacturing; these topics are under intense investigation and development in the engineering and mathematics communities. The volume should have immediate appeal for a large group of engineers and mathematicians who are interested in very abstract as well as very concrete aspects of control and system theory.

Introduction to Time-Delay Systems

Author : Emilia Fridman
Publisher : Springer
ISBN 13 : 3319093932
Total Pages : 381 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Time-Delay Systems by : Emilia Fridman

Download or read book Introduction to Time-Delay Systems written by Emilia Fridman and published by Springer. This book was released on 2014-09-02 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course ”Introduction to time-delay systems” for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.

Approximation of feedback controls for delay systems using legendre polynomials

Author : Franz Kappel
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (459 download)

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Book Synopsis Approximation of feedback controls for delay systems using legendre polynomials by : Franz Kappel

Download or read book Approximation of feedback controls for delay systems using legendre polynomials written by Franz Kappel and published by . This book was released on 1984 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Low Gain Feedback

Author : Zongli Lin
Publisher : Springer
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Low Gain Feedback by : Zongli Lin

Download or read book Low Gain Feedback written by Zongli Lin and published by Springer. This book was released on 1999 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified and unique presentation of low gain and high gain design methodologies. In particular the development of low gain feedback design methodology is discussed. The development of both low and high gain feedback enhances the industrial relevance of modern control theory, by providing solutions to a wide range of problems that are of paramount practical importance. This detailed monograph provides the reader with a comprehensive insight into these problems: research results are examined and solutions to the problems are considered. Compared to that of high gain feedback, the power and significance of low gain feedback is not as widely recognized. The purpose of this monograph is to present some recent developments in low gain feedback, and its applications. Several low gain techniques are examined, including the control of linear systems with saturating actuators, semi-global stabilization of minimum phase input-output linearizable systems and H2 suboptimal control.