Systems & Control: Foundations & Applications

Stochastic Networked Control Systems

Stabilization and Optimization under Information Constraints

Authors: Yüksel, Serdar, Başar, Tamer

  • The first book that covers information structures, stabilization and performance analysis in networked control systems
  • Reports original research results, including the concept of random-time stochastic drift and recent developments in optimal quantizer design for centralized and decentralized systems
  • Provides fresh approaches to optimization of observation channels, and develops new notions of information structures
  • Figures, tables, references, glossary, and indexes enhance the presentation and accessibility of content
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Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-7085-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-7084-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9282-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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About this book

Networked control systems are increasingly ubiquitous today, with applications ranging from vehicle communication and adaptive power grids to space exploration and economics. The optimal design of such systems presents major challenges, requiring tools from various disciplines within applied mathematics such as decentralized control, stochastic control, information theory, and quantization.

 

A thorough, self-contained book, Stochastic Networked Control Systems: Stabilization and Optimization under Information Constraints aims to connect these diverse disciplines with precision and rigor, while conveying design guidelines to controller architects. Unique in the literature, it lays a comprehensive theoretical foundation for the study of networked control systems, and introduces an array of concrete tools for work in the field.  Salient features included:

 

·         Characterization, comparison and optimal design of information structures in static and dynamic teams. Operational, structural and topological properties of information structures in optimal decision making, with a systematic program for generating optimal encoding and control policies. The notion of signaling, and its utilization in stabilization and optimization of decentralized control systems.

 

·         Presentation of mathematical methods for stochastic stability of networked control systems using random-time, state-dependent drift conditions and martingale methods.

 

·         Characterization and study of information channels leading to various forms of stochastic stability such as stationarity, ergodicity, and quadratic stability; and connections with information and quantization theories. Analysis of various classes of centralized and decentralized control systems.

 

·         Jointly optimal design of encoding and control policies over various information channels and under general optimization criteria, including a detailed coverage of linear-quadratic-Gaussian models.

 

·         Decentralized agreement and dynamic optimization under information constraints.

 

This monograph is geared toward a broad audience of academic and industrial researchers interested in control theory, information theory, optimization, economics, and applied mathematics. It could likewise serve as a supplemental graduate text. The reader is expected to have some familiarity with linear systems, stochastic processes, and Markov chains, but the necessary background can also be acquired in part through the four appendices included at the end.

 

·         Characterization, comparison and optimal design of information structures in static and dynamic teams. Operational, structural and topological properties of information structures in optimal decision making, with a systematic program for generating optimal encoding and control policies. The notion of signaling, and its utilization in stabilization and optimization of decentralized control systems.

 

·         Presentation of mathematical methods for stochastic stability of networked control systems using random-time, state-dependent drift conditions and martingale methods.

 

·         Characterization and study of information channels leading to various forms of stochastic stability such as stationarity, ergodicity, and quadratic stability; and connections with information and quantization theories. Analysis of various classes of centralized and decentralized control systems.

 

·         Jointly optimal design of encoding and control policies over various information channels and under general optimization criteria, including a detailed coverage of linear-quadratic-Gaussian models.

 

·         Decentralized agreement and dynamic optimization under information constraints.

 

This monograph is geared toward a broad audience of academic and industrial researchers interested in control theory, information theory, optimization, economics, and applied mathematics. It could likewise serve as a supplemental graduate text. The reader is expected to have some familiarity with linear systems, stochastic processes, and Markov chains, but the necessary background can also be acquired in part through the four appendices included at the end.

Reviews

From the reviews:

“Explains the mathematics useful for the description of those systems, when imbedded in a mathematical framework of discrete time, and elements which take their values either in discrete or in Euclidean spaces … . The reviewer sees two uses for the book. It could be a valuable information source for someone interested in an overall picture of the subject … . other use would be for a reading course by a courageous student willing to reconstruct part of the material.” (A. F. Gualtierotti, Mathematical Reviews, March, 2014)

Table of contents (12 chapters)

  • Introduction

    Yüksel, Serdar (et al.)

    Pages 1-8

  • Networked Control Systems as Stochastic Team Decision Problems: A General Introduction

    Yüksel, Serdar (et al.)

    Pages 11-75

  • Characterization and Comparison of Information Structures

    Yüksel, Serdar (et al.)

    Pages 77-117

  • Topological Properties of Information Structures: Comparison, Convergence, and Optimization

    Yüksel, Serdar (et al.)

    Pages 119-151

  • Coding for Control and Connections with Information Theory

    Yüksel, Serdar (et al.)

    Pages 155-177

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-7085-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-7084-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9282-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Networked Control Systems
Book Subtitle
Stabilization and Optimization under Information Constraints
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7085-4
DOI
10.1007/978-1-4614-7085-4
Hardcover ISBN
978-1-4614-7084-7
Softcover ISBN
978-1-4899-9282-6
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XVIII, 482
Topics