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E-raamat: Towards Integrating Control and Information Theories: From Information-Theoretic Measures to Control Performance Limitations

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This book investigates the performance limitation issues in networked feedback systems. The fact that networked feedback systems consist of control and communication devices and systems calls for the integration of control theory and information theory. The primary contributions of this book lie in two aspects: the newly-proposed information-theoretic measures and the newly-discovered control performance limitations. We first propose a number of information notions to facilitate the analysis. Using those notions, classes of performance limitations of networked feedback systems, as well as state estimation systems, are then investigated. In general, the book presents a unique, cohesive treatment of performance limitation issues of networked feedback systems via an information-theoretic approach. This book is believed to be the first to treat the aforementioned subjects systematically and in a unified manner, offering a unique perspective differing from existing books.
1 Introduction
1(14)
1.1 A Word on Control versus Communication
1(1)
1.2 Interplay of Feedback Theory and Information Theory
2(4)
1.3 Performance Limitations of Feedback Control
6(5)
1.4 Performance Limitations in Networked Feedback Systems
11(2)
1.5 Organization
13(2)
2 Information Measures and Spectral Analysis
15(24)
2.1 Basic Information Concepts
16(3)
2.2 Spectral Analysis
19(4)
2.3 Channel Capacity
23(6)
2.4 Negentropy and Negentropy Rate
29(4)
2.5 Gaussianity-Whiteness
33(6)
3 Control Performance Measures
39(10)
3.1 The H∞ Norm
39(2)
3.2 Power Gain
41(8)
4 Channel Blurredness
49(18)
4.1 Definition
50(1)
4.2 AWGN Channel
51(8)
4.3 ACGN Channel
59(3)
4.4 Fading Channel
62(5)
5 Bode-Type Integrals
67(32)
5.1 Bode Integral Relations and Bode-Type Integral Inequalities
68(5)
5.2 Disturbance Attenuation at Plant Input
73(10)
5.3 Disturbance Attenuation at Plant Output
83(6)
5.4 Non-LTI Plants
89(3)
5.5 The "Water-Bed Effect"
92(4)
5.6 An Illustrative Example
96(3)
6 Bounds on Power Gain
99(14)
6.1 Power Reduction at Plant Input
99(7)
6.2 Power Reduction at Plant Output
106(2)
6.3 Non-LTI Plants
108(2)
6.4 An Illustrative Example
110(3)
7 MIMO Systems
113(28)
7.1 Bode Integral Relations and Bode-Type Integral Inequalities
113(3)
7.2 Disturbance Attenuation at Plant Input
116(9)
7.3 Disturbance Attenuation for Non-LTI Plants
125(4)
7.4 Power Reduction at Plant Input
129(6)
7.5 Power Reduction for Non-LTI Plants
135(2)
7.6 An Illustrative Example
137(4)
8 Bounds on Estimation Error
141(14)
8.1 Bounds on Variance Minimization
141(12)
8.2 Worst-Case Estimation
153(2)
9 Continuous-Time Systems
155(24)
9.1 Definitions and Preliminaries
155(5)
9.2 Disturbance Attenuation and Power Reduction
160(9)
9.3 Non-LTI Plants
169(10)
Glossary 179(2)
References 181(8)
Index 189
Song Fang received the B.S. degree in automation from Shandong University, Jinan, China, in 2008, the M.S. degree in control theory and control engineering from Shanghai Jiao Tong University, Shanghai, China, in 2011, and the Ph.D. degree in electronic engineering from City University of Hong Kong, Hong Kong, China, in 2015.

He visited the Tokyo Institute of Technology, Yokohama, Japan, as a visiting student researcher from January to April, 2013. His main research interests are in the integration of control theory and information theory, as well as in the inherent limits of the feedback mechanism, control and estimation systems, and signal processing.

 

Jie Chen is a Chair Professor in the Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China. He received the B.S. degree in aerospace engineering from Northwestern Polytechnic University, Xian, China in 1982, the M.S.E. degree in electrical engineering, theM.A. degree in mathematics, and the Ph.D. degree in electrical engineering, all from The University of Michigan, Ann Arbor, Michigan, in 1985, 1987, and 1990, respectively.

Prior to joining City University, he was with School of Aerospace Engineering and School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, Georgia from 1990 to 1993, and with University of California, Riverside, California from 1994 to 2014, where he was a Professor and served as Professor and Chair for the Department of Electrical Engineering from 2001 to 2006. His main research interests are in the areas of linear multivariable systems theory, system identification, robust control, optimization, time-delay systems, networked control, and multi-agent systems.  He is the author of two books, respectively, (with G. Gu) Control-Oriented System Identification: An H-infinity Approach (Wiley-Interscience, 2000), and (with K. Gu and V.L. Kharitonov) Stability of Time-Delay Systems(Birkhauser, 2003).



An elected Fellow of IEEE, Fellow of AAAS, Fellow of IFAC and a Yangtze Scholar/Chair Professor of China, Dr. Chen was a recipient of 1996 US National Science Foundation CAREER Award, 2004 SICE International Award, and 2006 Natural Science Foundation of China Outstanding Overseas Young Scholar Award. He served on a number of journal editorial boards, as an Associate Editor and a Guest Editor for the IEEE Transactions on Automatic Control, a Guest Editor for IEEE Control Systems Magazine, an Associate Editor for Automatica, and the founding Editor-in-Chief for Journal of Control Science and Engineering. He is currently an IEEE Control Systems Society (CSS) Distinguished Lecturer and serves as an Associate Editor for SIAM Journal on Control and Optimization. He was a member on IEEE CSS Board of Governors in 2014 and has served as IEEE CSS Chapter Activities Chair since 2015.

 

Hideaki Ishii received the M.Eng. degree in applied systems science from Kyoto University, Kyoto, Japan, in 1998, and the Ph.D. degree in electrical and computer engineering from the University of Toronto, Toronto, ON, Canada, in 2002.

He was a Postdoctoral Research Associate with the Coordinated Science Laboratory at the University of Illinois at Urbana-Champaign, Urbana, IL, USA, from 2001 to 2004, and a Research Associate with the Department of Information Physics and Computing, The University of Tokyo, Tokyo, Japan, from 2004 to 2007. Currently, he is an Associate Professor in the Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan. His research interests are in networked control systems, multiagent systems, hybrid systems, cyber security of power systems, and probabilistic algorithms.



Dr. Ishii has served as an Associate Editor for the IEEE Transactions on Control of Network Systems and Automatica and previously for the IEEE Transactions on Automatic Control. He is the Chair of the IFAC Technical Committee on Networked Systems. He received the IEEE Control Systems Magazine Outstanding Paper Award in 2015.