Towards Integrating Control and Information Theories: From Information-Theoretic Measures to Control Performance LimitationsSpringer, 2016年11月11日 - 190 頁 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. |
內容
1 | |
2 Information Measures and Spectral Analysis | 15 |
3 Control Performance Measures | 39 |
4 Channel Blurredness | 49 |
5 BodeType Integrals | 66 |
6 Bounds on Power Gain | 99 |
7 MIMO Systems | 112 |
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ACGN addition asymptotic power asymptotically stationary process AWGN channel Bode integral Bode-type integrals bounds on power causal system channel blurredness channel capacity channel with noise closed-loop system communication channels Consider the system continuous-time Control and Information covariance matrix decoder denote disturbance attenuation disturbance dk dl dl entropy rate equality holds fading channels feedback control system finite entropy fire-quenching fºr frequency Furthermore Gaussianity-whiteness h x0 IEEE Trans information theory information-theoretic initial state x0 Jim E Jºe Kalman filter Lemma Let the assumptions lim sup linear lower bound LTI system MIMO mutual information negentropy rate networked feedback systems non-LTI plants nonlinear performance limitations power constraint power gain power signals power spectrum Proof random vector sensitivity function SISO ſº spectral flatness stable LTI system stochastic process Suppose system depicted transfer function ul ul white Gaussian π π