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Author: Hyung Sik Shin
Publisher: Stanford University
ISBN:
Category :
Languages : en
Pages : 85
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Book Description
Decentralized control has been one of the important problems in systems and control engineering. Computing an optimal decentralized controller for general linear systems, however, is known to be a very challenging task. In particular, designing an optimal decentralized controller in the standard framework of a linear system with quadratic cost and Gaussian noise is well known to be extremely hard even in very simple and small sized problems. Because of this fact, previous work has focused on characterizing several different classes of problems for which an optimal decentralized controller may be efficiently computed. The set of quadratically invariant problems is one of the largest known class of such problems. This dissertation provides a novel, general, and powerful framework for addressing decentralized control by introducing the idea of using rational elimination theory of algebraic geometry. We show that, in certain cases, this approach reduces the set of closed-loop maps of decentralized control to the solution set of a collection of linear equations. We show how to use these linear equations to find an optimal decentralized controller. We also prove that if a system is quadratically invariant then under an appropriate technical condition the resulting elimination set is affine. We further illustrate that our approach can be well applied to a strictly larger class of decentralized control problem than the quadratically invariant one by presenting a simple example: the example shows that there are problems which are not quadratically invariant but for which the resulting elimination description is affine.
Author: Hyung Sik Shin
Publisher: Stanford University
ISBN:
Category :
Languages : en
Pages : 85
Get Book Here
Book Description
Decentralized control has been one of the important problems in systems and control engineering. Computing an optimal decentralized controller for general linear systems, however, is known to be a very challenging task. In particular, designing an optimal decentralized controller in the standard framework of a linear system with quadratic cost and Gaussian noise is well known to be extremely hard even in very simple and small sized problems. Because of this fact, previous work has focused on characterizing several different classes of problems for which an optimal decentralized controller may be efficiently computed. The set of quadratically invariant problems is one of the largest known class of such problems. This dissertation provides a novel, general, and powerful framework for addressing decentralized control by introducing the idea of using rational elimination theory of algebraic geometry. We show that, in certain cases, this approach reduces the set of closed-loop maps of decentralized control to the solution set of a collection of linear equations. We show how to use these linear equations to find an optimal decentralized controller. We also prove that if a system is quadratically invariant then under an appropriate technical condition the resulting elimination set is affine. We further illustrate that our approach can be well applied to a strictly larger class of decentralized control problem than the quadratically invariant one by presenting a simple example: the example shows that there are problems which are not quadratically invariant but for which the resulting elimination description is affine.
Author: Christiaan Heij
Publisher: Springer Nature
ISBN: 3030596540
Category : Science
Languages : en
Pages : 195
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Book Description
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation. This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link's book website.
Author: Jan H. van Schuppen
Publisher: Springer
ISBN: 3319104071
Category : Technology & Engineering
Languages : en
Pages : 393
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Book Description
This book describes how control of distributed systems can be advanced by an integration of control, communication, and computation. The global control objectives are met by judicious combinations of local and nonlocal observations taking advantage of various forms of communication exchanges between distributed controllers. Control architectures are considered according to increasing degrees of cooperation of local controllers: fully distributed or decentralized control, control with communication between controllers, coordination control, and multilevel control. The book covers also topics bridging computer science, communication, and control, like communication for control of networks, average consensus for distributed systems, and modeling and verification of discrete and of hybrid systems. Examples and case studies are introduced in the first part of the text and developed throughout the book. They include: control of underwater vehicles, automated-guided vehicles on a container terminal, control of a printer as a complex machine, and control of an electric power system. The book is composed of short essays each within eight pages, including suggestions and references for further research and reading. By reading the essays collected in the book Coordination Control of Distributed Systems, graduate students and post-docs will be introduced to the research frontiers in control of decentralized and of distributed systems. Control theorists and practitioners with backgrounds in electrical, mechanical, civil and aerospace engineering will find in the book information and inspiration to transfer to their fields of interest the state-of-art in coordination control.
Author: Seibold, Zaezilia
Publisher: KIT Scientific Publishing
ISBN: 3731505673
Category : Technology (General)
Languages : en
Pages : 210
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Book Description
The fourth industrial revolution aims to transform production systems. In this work, Logical Time which is a control principle for distributed systems is transferred to material handling systems with decentralized control. The GridSorter, a modular sorter with grid-like structure, is chosen as showcase system. The system is proven to be deadlock-free and is robust against varying transport times. The time-window-based route reservation process is described as Iterative Deepening A*.
Author: Rolf Johansson
Publisher: Springer Science & Business Media
ISBN: 144712264X
Category : Technology & Engineering
Languages : en
Pages : 438
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Book Description
Distributed Decision Making and Control is a mathematical treatment of relevant problems in distributed control, decision and multiagent systems, The research reported was prompted by the recent rapid development in large-scale networked and embedded systems and communications. One of the main reasons for the growing complexity in such systems is the dynamics introduced by computation and communication delays. Reliability, predictability, and efficient utilization of processing power and network resources are central issues and the new theory and design methods presented here are needed to analyze and optimize the complex interactions that arise between controllers, plants and networks. The text also helps to meet requirements arising from industrial practice for a more systematic approach to the design of distributed control structures and corresponding information interfaces Theory for coordination of many different control units is closely related to economics and game theory network uses being dictated by congestion-based pricing of a given pathway. The text extends existing methods which represent pricing mechanisms as Lagrange multipliers to distributed optimization in a dynamic setting. In Distributed Decision Making and Control, the main theme is distributed decision making and control with contributions to a general theory and methodology for control of complex engineering systems in engineering, economics and logistics. This includes scalable methods and tools for modeling, analysis and control synthesis, as well as reliable implementations using networked embedded systems. Academic researchers and graduate students in control science, system theory, and mathematical economics and logistics will find mcu to interest them in this collection, first presented orally by the contributors during a sequence of workshops organized in Spring 2010 by the Lund Center for Control of Complex Engineering Systems, a Linnaeus Center at Lund University, Sweden.>
Author: Alberto Bemporad
Publisher: Springer
ISBN: 3540714936
Category : Computers
Languages : en
Pages : 812
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Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, held in Pisa, Italy in April 2007. Among the topics addressed are models of heterogeneous systems, computability and complexity issues, real-time computing and control, embedded and resource-aware control, control and estimation over wireless networks, and programming languages support and implementation.
Author: Frans A. Oliehoek
Publisher: Springer
ISBN: 3319289292
Category : Computers
Languages : en
Pages : 146
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Book Description
This book introduces multiagent planning under uncertainty as formalized by decentralized partially observable Markov decision processes (Dec-POMDPs). The intended audience is researchers and graduate students working in the fields of artificial intelligence related to sequential decision making: reinforcement learning, decision-theoretic planning for single agents, classical multiagent planning, decentralized control, and operations research.
Author: Weijia Jia
Publisher: Springer Science & Business Media
ISBN: 0387238409
Category : Computers
Languages : en
Pages : 531
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Book Description
Both authors have taught the course of “Distributed Systems” for many years in the respective schools. During the teaching, we feel strongly that “Distributed systems” have evolved from traditional “LAN” based distributed systems towards “Internet based” systems. Although there exist many excellent textbooks on this topic, because of the fast development of distributed systems and network programming/protocols, we have difficulty in finding an appropriate textbook for the course of “distributed systems” with orientation to the requirement of the undergraduate level study for today’s distributed technology. Specifically, from - to-date concepts, algorithms, and models to implementations for both distributed system designs and application programming. Thus the philosophy behind this book is to integrate the concepts, algorithm designs and implementations of distributed systems based on network programming. After using several materials of other textbooks and research books, we found that many texts treat the distributed systems with separation of concepts, algorithm design and network programming and it is very difficult for students to map the concepts of distributed systems to the algorithm design, prototyping and implementations. This book intends to enable readers, especially postgraduates and senior undergraduate level, to study up-to-date concepts, algorithms and network programming skills for building modern distributed systems. It enables students not only to master the concepts of distributed network system but also to readily use the material introduced into implementation practices.
Author: Dragoslav D. Siljak
Publisher: Courier Corporation
ISBN: 0486294374
Category : Technology & Engineering
Languages : en
Pages : 546
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Book Description
Starting with a graph-theoretic framework for structural modeling of complex systems, this text presents results related to robust stabilization via decentralized state feedback. Subsequent chapters explore optimization, output feedback, the manipulative power of graphs, overlapping decompositions and the underlying inclusion principle, and reliability design. An appendix provides efficient graph algorithms. 1991 edition.
Author: Jan Lunze
Publisher: Springer Science & Business Media
ISBN: 3319011316
Category : Technology & Engineering
Languages : en
Pages : 405
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Book Description
The book gives an introduction to networked control systems and describes new modeling paradigms, analysis methods for event-driven, digitally networked systems, and design methods for distributed estimation and control. Networked model predictive control is developed as a means to tolerate time delays and packet loss brought about by the communication network. In event-based control the traditional periodic sampling is replaced by state-dependent triggering schemes. Novel methods for multi-agent systems ensure complete or clustered synchrony of agents with identical or with individual dynamics. The book includes numerous references to the most recent literature. Many methods are illustrated by numerical examples or experimental results.
