Set Theoretic Methods In Control
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Set Theoretic Methods In Control
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Author : Franco Blanchini
language : en
Publisher: Birkhäuser
Release Date : 2015-07-02
Set Theoretic Methods In Control written by Franco Blanchini and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-02 with Science categories.
The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." - B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." - Octavian Pastravanu, Zentralblatt MATH
Set Theoretic Methods In Control
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Author : Franco Blanchini
language : en
Publisher: Birkhäuser
Release Date : 2008-11-01
Set Theoretic Methods In Control written by Franco Blanchini and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Technology & Engineering categories.
This self-contained monograph describes basic set-theoretic methods for control. It provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary.
Dependable Control Of Uncertain Linear Systems Based On Set Theoretic Methods
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Author : Plinio de Léon Cantón
language : en
Publisher:
Release Date : 2009
Dependable Control Of Uncertain Linear Systems Based On Set Theoretic Methods written by Plinio de Léon Cantón and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Fault Tolerant Control Based On Set Theoretic Methods
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Author : Florin Stoican
language : en
Publisher:
Release Date : 2011
Fault Tolerant Control Based On Set Theoretic Methods written by Florin Stoican and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
The scope of the thesis is the analysis and design of fault tolerant control (FTC) schemes through the use of set-theoretic methods. In the framework of multisensor schemes, the faults appearance and the modalities to accurately detect them are investigated as well as the design of control laws which assure the closed-loop stability. By using invariant/contractive sets to describe the residual signals, a fault detection and isolation (FDI) mechanism with reduced computational demands is implemented based on set-separation. A dual mechanism, implemented by a recovery block, which certificates previously fault-affected sensors is also studied. From a broader theoretical perspective, we point to the conditions which allow the inclusion of {FDI} objectives in the control law design. This leads to static feedback gains synthesis by means of numerically attractive optimization problems. Depending on the parameters selected for tuning, is shown that the FTC design can be completed by a reference governor or a predictive control scheme which adapts the state trajectory and the feedback control action in order to assure {FDI}. When necessary, the specific issues originated by the use of set-theoretic methods are detailed and various improvements are proposed towards: invariant set construction, mixed integer programming (MIP), stability for switched systems (dwell-time notions).
Set Theoretic Methods For The Social Sciences
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Author : Carsten Q. Schneider
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-30
Set Theoretic Methods For The Social Sciences written by Carsten Q. Schneider and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-30 with Political Science categories.
Qualitative Comparative Analysis (QCA) and other set-theoretic methods distinguish themselves from other approaches to the study of social phenomena by using sets and the search for set relations. In virtually all social science fields, statements about social phenomena can be framed in terms of set relations, and using set-theoretic methods to investigate these statements is therefore highly valuable. This book guides readers through the basic principles of set theory and then on to the applied practices of QCA. It provides a thorough understanding of basic and advanced issues in set-theoretic methods together with tricks of the trade, software handling and exercises. Most arguments are introduced using examples from existing research. The use of QCA is increasing rapidly and the application of set-theory is both fruitful and still widely misunderstood in current empirical comparative social research. This book provides the comprehensive guide to these methods for researchers across the social sciences.
Set Theoretic Approaches To The Aperiodic Control Of Linear Systems
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Author : Florian D. Brunner
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2017-12-07
Set Theoretic Approaches To The Aperiodic Control Of Linear Systems written by Florian D. Brunner and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-07 with Technology & Engineering categories.
In this thesis, we employ set-theoretic properties of additively disturbed linear discrete-time systems to develop stabilizing aperiodically updated control laws for plants controlled over communication networks. In particular, we design event-triggered and self-triggered controllers with a priori guarantees on closed-loop characteristics such as stability, asymptotic bound, and average communication rate. Different models for the disturbances are taken into account, namely arbitrary disturbances of which only a bound in the form of a compact set is known and stochastic disturbances with known probability distribution. For setups with hard constraints on the states and inputs, we propose aperiodic schemes based on robust model predictive control methods. Both the full information (state-feedback) case, as well as the limited information (output-feedback) case are investigated. It is demonstrated that the proposed controllers achieve a considerable reduction in the required network usage with only moderate or non-existing deterioration of the closed-loop properties guaranteed by comparable controllers that transmit information at every point in time.
Descriptive Set Theoretic Methods In Automata Theory
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Author : Michał Skrzypczak
language : en
Publisher: Springer
Release Date : 2016-08-05
Descriptive Set Theoretic Methods In Automata Theory written by Michał Skrzypczak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-05 with Mathematics categories.
The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.
Set Theoretic Fault Tolerant Control In Multisensor Systems
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Author : Florin Stoican
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-24
Set Theoretic Fault Tolerant Control In Multisensor Systems written by Florin Stoican 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 2013-06-24 with Technology & Engineering categories.
Fault-tolerant control theory is a well-studied topic but the use of the sets in detection, isolation and/or reconfiguration is rather tangential. The authors of this book propose a systematic analysis of the set-theoretic elements and devise approaches which exploit advanced elements within the field. The main idea is to translate fault detection and isolation conditions into those conditions involving sets. Furthermore, these are to be computed efficiently using positive invariance and reachability notions. Constraints imposed by exact fault control are used to define feasible references (which impose persistent excitation and, thus, non-convex feasible sets). Particular attention is given to the reciprocal influences between fault detection and isolation on the one hand, and control reconfiguration on the other. Contents 1. State of the Art in Fault-tolerant Control 2. Fault Detection and Isolation in Multisensor Systems 3. Residual Generation and Reference Governor Design 4. Reconfiguration of the Control Mechanism for Fault-tolerant Control 5. Related Problems and Applications About the Authors Florin Stoican received a B.E. degree from the “Politehnica” University of Bucharest, Romania, in 2008 and his PhD from SUPELEC, France in 2011. He held an ERCIM Postdoctoral Fellowship with NTNU Trondheim, Norway, in 2012, and is currently Assistant Professor at “Politehnica” University of Bucharest. His main interest is the fault tolerant control of dynamical systems through the prism of set theoretic elements. His current work involves further results in set theory and constrained optimization problems. Sorin Olaru received an M.S. degree from the “Politehnica” University of Bucharest, Romania, and both his PhD and Habilitation from University Paris XI, France, being awarded the European Commission Archimedes Prize in 2002. Since 2001 he has held different positions at INRIA and SUPELEC in France and visiting appointments at the University of Newcastle, Australia and NTNU Trondheim, Norway. He is currently Professor at SUPELEC, a member of the INRIA Disco team and senior member of IEEE. His research interests include optimization-based control design and the set-theoretic characterization of constrained dynamical systems.
Computation Aware Algorithmic Design For Cyber Physical Systems
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Author : Maria Prandini
language : en
Publisher: Springer Nature
Release Date : 2023-12-16
Computation Aware Algorithmic Design For Cyber Physical Systems written by Maria Prandini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-16 with Science categories.
This contributed volume aims to build the foundation of a framework for computationally aware algorithmic design for cyber-physical systems (CPSs), focusing on approaches that take computation into account at the design stage to address their impact on performance and safety. It demonstrates how novel techniques may emerge from the combination of formal methods, model predictive control, distributed optimization, data-driven methods, reconfigurable/adaptive methods, and information-theoretic techniques. Chapters are written by both researchers and practitioners and cover such topics as analysis and design of uncertain CPSs, cooperative and non-cooperative paradigms for handling complexity in large scale CPSs, task-relevant environment abstractions for autonomous systems based on information theory, information flow in event-based stabilization of CPSs, set-valued model predictive control, and automated synthesis of certifiable controllers for CPSs. State-of-the-art applications and case studies are provided throughout with a special focus on intelligent transportation systems and autonomous vehicles. Graduate students and researchers with an interest in CPS verification and control will find this volume to be a valuable resource in their work. It will also appeal to researchers from disciplines other than control, such as computer science, operations research, applied mathematics, and robotics.
Large Scale Scientific Computing
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Author : Ivan Lirkov
language : en
Publisher: Springer Nature
Release Date : 2020-02-13
Large Scale Scientific Computing written by Ivan Lirkov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-13 with Computers categories.
This book constitutes revised papers from the 12th International Conference on Large-Scale Scientific Computing, LSSC 2019, held in Sozopol, Bulgaria, in June 2019. The 70 papers presented in this volume were carefully reviewed and selected from 81 submissions. The book also contains two invited talks. The papers were organized in topical sections named as follows: control and optimization of dynamical systems; meshfree and particle methods; fractional diffusion problems: numerical methods, algorithms and applications; pore scale flow and transport simulation; tensors based algorithms and structures in optimization and applications; HPC and big data: algorithms and applications; large-scale models: numerical methods, parallel computations and applications; monte carlo algorithms: innovative applications in conjunctions with other methods; application of metaheuristics to large-scale problems; large scale machine learning: multiscale algorithms and performance guarantees; and contributed papers.