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Stochastic Networked Control Systems de Serdar Yüksel

Stochastic Networked Control Systems

Autor Serdar Yüksel, Tamer Ba¿ar
en Limba Engleză Hardback – 21 mai 2013

Evoluția sistemelor de control în rețea a transformat fundamental arhitecturile tehnologice moderne, de la rețele electrice adaptive la explorarea spațială, impunând o convergență fără precedent între teoria controlului și teoria informației. În Stochastic Networked Control Systems, Serdar Yüksel și Tamer Bașar răspund acestei complexități printr-o abordare matematică riguroasă, menită să ofere fundamentul teoretic pentru proiectarea sistemelor descentralizate. Notăm cu interes felul în care autorii reușesc să unifice domenii anterior divergente, transformând constrângerile de comunicare din obstacole în parametri variabili ai procesului de optimizare.

Descoperim aici o structură tripartită, concepută pentru o progresie logică de la teorie la aplicație. Prima parte analizează structurile de informație ca probleme de decizie în echipă, a doua se concentrează pe stabilitatea stochastică prin metode martingal și criterii de drift, iar cea de-a treia explorează designul politicilor optime sub constrângeri de canal. Comparabil cu Analysis and Design of Networked Control Systems în rigurozitate, volumul de față se distinge prin tratamentul aprofundat al semnalizării (signaling) și prin integrarea metodelor de cuantizare direct în bucla de control. Această lucrare extinde temele abordate de Yüksel în Finite Approximations in Discrete-Time Stochastic Control, trecând de la aproximările stochastice centralizate la dinamica complexă a sistemelor multi-agent distribuite.

Din punct de vedere al experienței de cercetare, lucrarea funcționează ca un manual avansat de referință. Deși nivelul matematic este ridicat, presupunând familiaritate cu lanțurile Markov, cele patru apendice incluse permit recalibrarea rapidă a cunoștințelor necesare. Ediția publicată de birkhäuser rămâne un pilon în literatura de specialitate prin claritatea cu care tratează modelele Linear-Quadratic-Gaussian și prin soluțiile propuse pentru acordul descentralizat în medii cu zgomot.

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Specificații

ISBN-13: 9781461470847
ISBN-10: 1461470846
Pagini: 500
Ilustrații: XVIII, 482 p.
Dimensiuni: 160 x 241 x 30 mm
Greutate: 0.91 kg
Ediția:2013
Editura: Springer
Locul publicării:New York, NY, United States

Public țintă

Research

De ce să citești această carte

Această monografie este esențială pentru cercetătorii care doresc să stăpânească intersecția dintre teoria controlului și comunicații. Cititorul câștigă acces la instrumente matematice avansate pentru stabilitatea stochastică și designul de controleri robuști sub constrângeri de lățime de bandă. Este o resursă de referință pentru optimizarea sistemelor complexe, oferind atât demonstrații riguroase, cât și linii directoare practice pentru arhitecții de sisteme descentralizate.

Descriere scurtă

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 informationstructures 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 likewiseserve 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.

Cuprins

Introduction.- Part I Information Structures in Networked Control.- Networked Control Systems as Stochastic Team Decision Problems: A General Introduction.- Characterization and Comparison of Information Structures.- Topological Properties of Information Structures: Comparison, Convergence and Optimization.- Part II Stabilization of Networked Control Systems.- Coding for Control and Connections with Information Theory.- Stochastic Stability and Drift Criteria for Markov Chains in Networked Control.- Stochastic Stabilization over Noiseless Channels.- Stochastic Stabilization over Noisy Channels.- Stabilization of Decentralized Systems over Communication Channels.- Part III Optimization in Networked Control: Design of Optimal Policies under Information Constraints.- Optimization of Real-Time Coding and Control Policies: Structural and Existence Results.- Optimal Coding and Control for Linear Gaussian Systems over Gaussian Channels under Quadratic Cost.- Agreement in Teams and the Dynamic Programming Approach under Information Constraints.- A Topological Notions and Optimization.- B Probability Theory and Stochastic Processes.- C Markov Chains, Martingales and Ergodic Processes.- D Markov Decision Theory and Optimality of Markov Policies.- References.- Index.

Recenzii

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)

Caracteristici

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 Includes supplementary material: sn.pub/extras