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Synchronization of Multi-Agent Systems in the Presence of Disturbances and Delays

Synchronization of Multi-Agent Systems in the Presence of Disturbances and Delays
Author: Ali Saberi
Publisher: Springer Nature
Total Pages: 673
Release: 2022-01-18
Genre: Science
ISBN: 3030881482

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This monograph explores the synchronization of large-scale, multi-agent dynamical systems in the presence of disturbances, delays, and time-varying networks. Drawing upon their extensive work in this area, the authors provide a thorough treatment of agents with higher-order dynamics, different classes of models for agents, and the underlying networks representing the agents’ actions. The high technical level of their presentation and their rigorous mathematical approach make this a timely and valuable resource that will fill a gap in the existing literature. Divided into two sections, the first part of the book focuses on state synchronization of homogeneous multi-agent systems. The authors consider state synchronization by determining control strategies for both continuous- and discrete-time systems that achieve state synchronization under both full- and partial-state coupling. The chapters that follow examine multi-agent systems with both linear and nonlinear time-varying agents, input-delays for continuous- and discrete-time systems, and communication delays for continuous-time systems. The second part of the book is dedicated to regulated output synchronization of heterogeneous multi-agent systems with linear and nonlinear agents. Both sections of the book include performance considerations in H2- and H-infinity norms in the presence of external disturbances. Research on synchronization of multi-agent systems has been growing in popularity and is highly interdisciplinary, with applications to automobile systems, aerospace systems, multiple-satellite GPS and high-resolution satellite imagery, aircraft formations, highway traffic platooning, industrial process control with multiple processes, and more. Synchronization of Multi-Agent Systems in the Presence of Disturbances and Delays will therefore be of interest to upper-level graduate students, researchers, and engineers in industry working on interconnected dynamical systems.


Cooperative Control of Multi-agent Systems

Cooperative Control of Multi-agent Systems
Author: Zhenwei Liu
Publisher: Springer Nature
Total Pages: 394
Release: 2022-11-22
Genre: Technology & Engineering
ISBN: 3031129547

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This monograph represents the outcome of research effort of the authors on scalable synchronization of large-scale multi-agent systems (MAS). Cooperative control of multi-agent systems has been growing in popularity and is highly interdisciplinary in recent years. The application of synchronization of MAS includes automobile systems, aerospace systems, multiple-satellite GPS, high-resolution satellite imagery, aircraft formations, highway traffic platooning, industrial process control with multiple processes, and more. Most of the proposed protocols in the literature for synchronization of MAS require some knowledge of the communication network such as bounds on the spectrum of the associated Laplacian matrix and the number of agents. These protocols suffer from scale fragility wherein stability properties are lost for large-scale networks or when the communication graph changes. In the past few years, the authors of this monograph have worked on developing scale-free protocol design for various cases of MAS problems. The key contribution of the monograph is to offer a scale-free design framework and provide scale-free protocols to achieve synchronization, delayed synchronization, and almost synchronization in the presence of input and communication delays, input saturation and external disturbances. The scale-free design framework solely is based on the knowledge of agent models and does not depend on information about the communication network such as the spectrum of the associated Laplacian matrix or size of the network. Drawing upon their extensive work in this area, the authors provide a thorough treatment of agents with higher-order dynamics, different classes of models for agents, and the underlying networks representing actions of the agents. The high technical level of their presentation and their rigorous mathematical approach make this monograph a timely and valuable resource that will fill a gap in the existing literature.


Distributed Attitude Consensus of Multiple Flexible Spacecraft

Distributed Attitude Consensus of Multiple Flexible Spacecraft
Author: Ti Chen
Publisher: Springer Nature
Total Pages: 218
Release: 2022-09-17
Genre: Technology & Engineering
ISBN: 9811942587

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This book mainly presents the authors' recent studies on the distributed attitude consensus of multiple flexible spacecraft. Modified Rodrigues parameters and rotation matrix are used to represent spacecraft attitude. Several distributed adaptive controllers are presented with theoretical analyses, numerical simulations and experimental verifications. The authors intend to provide a manual that allows researchers, engineers and students in the field of aerospace engineering and mechanics to learn a theoretical and practical approach to the design of attitude consensus algorithms.


An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem

An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem
Author: Rafael Martínez-Guerra
Publisher: Springer Nature
Total Pages: 222
Release: 2023-03-09
Genre: Science
ISBN: 3031226690

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This book addresses the problem of multi-agent systems, considering that it can be interpreted as a generalized multi-synchronization problem. From manufacturing tasks, through encryption and communication algorithms, to high-precision experiments, the simultaneous cooperation between multiple systems or agents is essential to successfully carrying out different modern activities, both in academy and industry. For example, the coordination of multiple assembler robots in manufacturing lines. These agents need to synchronize. The first two chapters of the book describe the synchronization of dynamical systems, paying special attention to the synchronization of non-identical systems. Following, the third chapter presents an interesting application of the synchronization phenomenon for state estimation. Subsequently, the authors fully address the multi-agent problem interpreted as multi-synchronization. The final chapters introduce the reader to a more complex problem, the synchronization of systems governed by partial differential equations, both of integer and fractional order. The book aimed at graduates, postgraduate students and researchers closely related to the area of automatic control. Previous knowledge of linear algebra, classical and fractional calculus is requested, as well as some fundamental notions of graph theory.


Synchronization and Control of Multiagent Systems

Synchronization and Control of Multiagent Systems
Author: Dong Sun
Publisher: CRC Press
Total Pages: 200
Release: 2018-10-09
Genre: Computers
ISBN: 9781439820483

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Multiple intelligent agent systems are commonly used in research requiring complex behavior. Synchronization control provides an advantage in solving the problem of multi-agent coordination. This book focuses on the use of synchronization control to coordinate the group behavior of multiple agents. The author includes numerous real-world applicatio


Nonnegative Matrices and Applications

Nonnegative Matrices and Applications
Author: R. B. Bapat
Publisher: Cambridge University Press
Total Pages: 351
Release: 1997-03-28
Genre: Mathematics
ISBN: 0521571677

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This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.


Introduction to Time-Delay Systems

Introduction to Time-Delay Systems
Author: Emilia Fridman
Publisher: Springer
Total Pages: 381
Release: 2014-09-02
Genre: Science
ISBN: 3319093932

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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.


Performance and controller design for the synchronization of multi-agent systems

Performance and controller design for the synchronization of multi-agent systems
Author: Andrej Mosebach
Publisher: Logos Verlag Berlin GmbH
Total Pages: 176
Release: 2017
Genre: Technology & Engineering
ISBN: 3832546235

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The analysis and design of control strategies for the synchronization of subsystems that are coupled over communication networks is the topic of this thesis. Typically, synchronization problems deal with the asymptotic behavior of networked multi-agent systems, where it is required that the states of the subsystems follow a common trajectory as the time approaches infinity. In contrast, this thesis focuses on strategies that do not only fulfill the requirement on asymptotic synchronization but also requirements on the transient behavior of networked multi-agent systems. Motivated by a growing number of applications where subsystems exchange their information by means of modern communication systems, the limits on the achievable performance of synchronization are studied for large teams of autonomous subsystems. In particular, control strategies that do not require any centralized coordination of the subsystems are developed.


Scale-Free Cooperative Control of Multi-Agent Systems

Scale-Free Cooperative Control of Multi-Agent Systems
Author: Donya Nojavanzadeh
Publisher:
Total Pages: 536
Release: 2021
Genre: Multiagent systems
ISBN:

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The synchronization problem of multi-agent systems (MAS) has become a hot topic among researchers in recent years. Cooperative control of MAS is used in practical applications such as robot networks, autonomous vehicles, distributed sensor networks, swarming, flocking, and others. The objective of synchronization is to secure an asymptotic agreement on a common state or output trajectory by local interaction among agents.Two classes of multi-agent systems have been identified: homogeneous (i.e. agents are identical) and heterogeneous (i.e. agents are non-identical). State synchronization inherently requires homogeneous MAS. On the other hand, for a heterogeneous MAS generically, it is more reasonable to consider output synchronization since the dimensions of states and their physical interpretation may be different. In heterogeneous MAS, if the agents have absolute measurements of their own dynamics in addition to relative information from the network, they are said to be introspective, otherwise, they are called non-introspective.In practical applications, the network dynamics are not perfect and may be subject to input delays, communication delays, input saturation, and external disturbances. In this dissertation, synchronization, delayed, and almost synchronization of homogeneous and heterogeneous MAS have been studied in various circumstances. An innovative contribution of this dissertation is designing scale-free protocols to obviate the requirement for the knowledge of the communication networks. This feature allows the protocols to effectively work for any MAS regardless of the size of the network and the knowledge of the communication graph such as bounds on the spectrum of the associated Laplacian matrix and the number of agents.


Cooperative Control of Multi-agent Systems Stability, Optimality and Robustness

Cooperative Control of Multi-agent Systems Stability, Optimality and Robustness
Author: Kristian Hengster Movric
Publisher:
Total Pages:
Release: 2013
Genre: Electrical engineering
ISBN:

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In this work design methods are given for distributed synchronization control of multi-agent systems on directed communication graphs. Conditions are derived based on the relation of the graph eigenvalues to a region in a complex plane that depends on the single-agent system and the solution of the local Riccati equation. The synchronizing region concept is used. Cooperative observer design, guaranteeing convergence of the local estimates to their true values, is also proposed. The notion of convergence region for distributed observers is introduced. A duality principle is shown to hold for distributed observers and controllers on balanced graph topologies. Application of cooperative observers is made to the distributed synchronization problem. Three dynamic regulator architectures are proposed for cooperative synchronization.In the second part this work brings together stability and optimality theory to design distributed cooperative control protocols, which guarantee consensus and are globally optimal with respect to a structured performance criterion. Here an inverse optimality approach is used together with partial stability to consider cooperative consensus and synchronization algorithms. A new class of digraphs is defined admitting a distributed solution to the global optimal control problem.The third part of this work investigates cooperative control performance under disturbances, and distributed static output-feedback control. Control design for the state consensus in presence of disturbances is investigated. Derived results are also applicable to multi-agent systems with heterogeneous agents. If, on the other hand, one constrains the control to be of the static output-feedback form, one needs to redefine the synchronizing region as the output-feedback synchronizing region.Contributions to Discrete-time Multi-agent Consensus ProblemThe main contribution to the discrete-time multi-agent consensus problem is the proposed design method based on local Riccati feedback gains, guaranteeing cooperative stability and convergence to consensus.Contributions to Globally Optimal Distributed Control ProblemThe globally optimal distributed synchronization control protocols are investigated. The main contribution is in merging the notions of inverse optimality and partial stability to guarantee robust stabilization to the noncompact consensus manifold. Furthermore, second contribution is the introduction of the class of digraphs that gives a distributed solution to a structured global optimal control problem.Contributions to Cooperative Robustness of Multi-agent SystemsThe robustness properties of asymptotic and exponential stability are applied in the context of cooperative stability for consensus. The results are based on Lyapunov functions for noncompact manifolds, and the pertinent stability and robustness properties are further elaborated. Distributed and local observers are utilized for disturbance compensation. Contributions to Distributed Output-feedback for State SynchronizationAn application of the cooperative stability analysis, via synchronizing region, to the distributed output-feedback is presented. It is shown that the guaranteed synchronizing region for output-feedback can be both bounded and unbounded.