Switched Positive Linear Systems
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Switched Positive Linear Systems
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Author : Franco Blanchini
language : en
Publisher:
Release Date : 2015
Switched Positive Linear Systems written by Franco Blanchini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Linear control systems categories.
Positive systems are an important class of systems that frequently arise in application areas, such as in the chemical process industry, electronic circuit design, communication networks, and biology. The study of the stability of such systems differs from standard systems in that the analysis focuses only on the trajectories generated under positivity constraints. Switched positive systems also arise in a variety of applications. Examples can be found in TCP congestion control, in processes described by non-homogeneous Markov chains, in image processing, in biochemical networks, and so on. In comparison to general switched systems, that have received a lot of attention in the past years, the theory for positive switched systems is still in its infancy. Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems. It provides a review of the results that have already been established in the literature. Other results, especially those related to norm computation and optimization, are new and are presented integrated with previous ones. Switched Positive Linear Systems provides a comprehensive and timely introduction to the study of such systems. Readers who are new to the topic will find everything required to understand such systems in a concise and accessible form.
Positive Systems
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Author : James Lam
language : en
Publisher: Springer
Release Date : 2019-01-12
Positive Systems written by James Lam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-12 with Technology & Engineering categories.
This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.
Event Triggered Control Of Switched Linear Systems
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Author : Jun Fu
language : en
Publisher: Springer Nature
Release Date : 2021-04-12
Event Triggered Control Of Switched Linear Systems written by Jun Fu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-12 with Technology & Engineering categories.
This book approaches its subject matter in a way that provides Lyapunov function analysis and event-triggered design methods for switched dynamic systems in terms of sampled-data control, hysteresis switching control, and fault-tolerant control. This book presents several novel design methods on event-triggered control of switched linear systems, in which the events inclusively consist of not only switching itself but events occurring as the switched systems evolve. The features of our approaches lie in threefold: i) In the framework of sampled-data control, a bond between the sampling period and the average dwell time of the asynchronous switched linear neutral systems is revealed, with which stabilization conditions are derived for periodic sampling and event-triggered sampling mechanisms, respectively. ii) New event-triggered control strategies are proposed for switched linear systems and switched delay systems including switched neutral systems. The Zeno phenomenon can be excluded easily since the constant threshold can guarantee the existence of minimum positive lower bound between two continuous sampling intervals. iii). Two new fault-tolerant control methods are presented for switched cascade systems, with structural uncertainties existing in both system matrices and input matrices of the linear subsystems, by using the average dwell-time techniques. The proposed control design works on both the switched systems with actuator faults and its nominal systems (i.e., without actuator faults) without necessarily changing any structures and/or parameters of the proposed controllers. This book presents several systematical analysis and design methods for event-triggered control of switched systems in terms of the Lyapunov-based stability. It is of great significance to theoretical research and practical applications for switched systems. The book provides a unified framework of sampled-data control, including periodic sampled-data control and event-triggered control, and fault-tolerant control of switched systems. It serves as a useful book for researchers and graduate students who are interested in knowing the state of the art of analysis and synthesis of switched systems. In addition, it is also a useful source of up-to-date design methods for researchers who study switched dynamic systems and graduate students of control theory and control engineering.
Positive Systems
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Author : Rafael Bru
language : en
Publisher: Springer
Release Date : 2009-09-30
Positive Systems written by Rafael Bru and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-30 with Technology & Engineering categories.
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.
Dynamics And Stability Of Continuous Time Switched Linear Systems
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Author : Yacine Chitour
language : en
Publisher: Springer Nature
Release Date : 2025-05-14
Dynamics And Stability Of Continuous Time Switched Linear Systems written by Yacine Chitour and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-14 with Mathematics categories.
Linear switched systems are a fascinating field of research, with many theoretical questions arising from applications which require sophisticated mathematical tools for their resolution. This monograph presents a unified theoretical approach for the analysis of stability of continuous-time linear switched systems, organizing and optimizing results scattered throughout literature. Emphasis is placed on the development of a rigorous and complete mathematical theory. In addition to fundamental tools such as common Lyapunov functions, converse Lyapunov theorems, and maximal Lyapunov exponents, the concept of Barabanov norm is also discussed. While this is now well understood from a theoretical point of view, it has not received much attention in more application-focused settings, likely because this fundamental object was developed in the context of arbitrary switches but has no immediate equivalent for classes of switching signals subject to various constraints (dwell time, persistent excitation, etc.). One of the aims of this text is to bridge this gap as far as possible by explaining how the main features of Barabanov norms can be generalized for classes of constrained switchings. Throughout the text, the authors maintain a general point of view, rather than treating classes of switching signals separately, by developing an axiomatic approach and identifying structural properties of these classes that allow crucial aspects of the Barabanov norm to be extended. This monograph will be a valuable resource for mathematicians and control engineers interested in continuous-time switched linear systems, as well as a definitive reference for more experienced researchers.
Control Synthesis Of Switched Systems
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Author : Xudong Zhao
language : en
Publisher: Springer
Release Date : 2016-11-04
Control Synthesis Of Switched Systems written by Xudong Zhao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-04 with Technology & Engineering categories.
This book offers its readers a detailed overview of the synthesis of switched systems, with a focus on switching stabilization and intelligent control. The problems investigated are not only previously unsolved theoretically but also of practical importance in many applications: voltage conversion, naval piloting and navigation and robotics, for example. The book considers general switched-system models and provides more efficient design methods to bring together theory and application more closely than was possible using classical methods. It also discusses several different classes of switched systems. For general switched linear systems and switched nonlinear systems comprising unstable subsystems, it introduces novel ideas such as invariant subspace theory and the time-scheduled Lyapunov function method of designing switching signals to stabilize the underlying systems. For some typical switched nonlinear systems affected by various complex dynamics, the book proposes novel design approaches based on intelligent control concepts. It is a useful source of up-to-date design methods and algorithms for researchers studying switched systems and graduate students of control theory and engineering. In addition, it is a valuable reference resource for practising engineers working in switched-system control design. Readers should have a basic knowledge of linear, nonlinear and switched systems.
Positive Systems
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Author : Filippo Cacace
language : en
Publisher: Springer
Release Date : 2017-04-01
Positive Systems written by Filippo Cacace and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-01 with Technology & Engineering categories.
This book presents high-quality original contributions on positive systems, including topics such as: monotone dynamical systems in mathematical biology and game theory; mathematical developments for networked systems in biology, chemistry and the social sciences; linear and nonlinear positive operators; dynamical analysis, observation and control of positive distributed parameter systems; stochastic realization theory; biological systems with positive variables and positive controls; iterated function systems; nonnegative dynamic processes; and dimensioning problems for collaborative systems. The book comprises a selection of the best papers presented at the POSTA 2016, the 5th International Symposium on Positive Systems, which was held in Rome, Italy, in September 2016. This conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems.
Analysis And Synthesis Of Dynamic Systems With Positive Characteristics
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Author : Jun Shen
language : en
Publisher: Springer
Release Date : 2017-03-27
Analysis And Synthesis Of Dynamic Systems With Positive Characteristics written by Jun Shen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Technology & Engineering categories.
This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.
Switching And Learning In Feedback Systems
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Author : Roderick Murray-Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-31
Switching And Learning In Feedback Systems written by Roderick Murray-Smith 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 2005-01-31 with Computers categories.
This book presents the outcome of the European Summer School on Multi-agent Control, held in Maynooth, Ireland in September 2003. The past decade witnessed remarkable progress in the area of dynamic systems with the emergence of a number of powerful methods for both modeling and controlling uncertain dynamic systems. The first two parts of this book present tutorial lectures by leading researchers in the area introducing the reader to recent achievements on switching and control and on Gaussian processes. The third part is devoted to the presentation of original research contributions in the area; among the topics addressed are car control, bounding algorithms, networked control systems, the theory of linear systems, Bayesian modeling, and surveying multiagent systems.
Saturated Switching Systems
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Author : Abdellah Benzaouia
language : en
Publisher: Springer
Release Date : 2012-03-28
Saturated Switching Systems written by Abdellah Benzaouia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-28 with Technology & Engineering categories.
Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.