图书信息:

书  名:Analysis and Design of Networked Control Systems
作  者:Keyou You, Nan Xiao and Lihua Xie
出 版 社:Springer-Verlag, London
出版日期:2015
语  种:英文
I S B N:9781447166146
页  数:321

内容简介:   

  This monograph focuses on characterizing the stability and performance consequences of inserting limited-capacity communication networks within a control loop. The text shows how integration of the ideas of control and estimation with those of communication and information theory can be used to provide important insights concerning several fundamental problems such as: minimum data rate for stabilization of linear systems over noisy channels; minimum network requirement for stabilization of linear systems over fading channels; and stability of Kalman filtering with intermittent observations.

  A fundamental link is revealed between the topological entropy of linear dynamical systems and the capacities of communication channels. The design of a logarithmic quantizer for the stabilization of linear systems under various network environments is also extensively discussed and solutions to many problems of Kalman filtering with intermittent observations are demonstrated.

  Analysis and Design of Networked Control Systems will interest control theorists and engineers working with networked systems and may also be used as a resource for graduate students with backgrounds in applied mathematics, communications or control who are studying such systems.

英文目录:
Preface
1 Overview of Networked Control Systems
  1.1 Introduction and Motivation
    1.1.1 Components of NCS
    1.1.2 Brief History of NCS
    1.1.3 Challenges in NCS
  1.2 Preview of the Book
  References
2 Entropies and Capacities in Networked Control Systems
  2.1 Entropies
    2.1.1 Entropy in Information Theory
    2.1.2 Topological Entropy in Feedback Theory
  2.2 Channel Capacities
    2.2.1 Noiseless Channels
    2.2.2 Noisy Channels
  2.3 Control Over Communication Networks
    2.3.1 Quantized Control Over Noiseless Networks
    2.3.2 Quantized Control Over Noisy Networks
  2.4 Estimation Over Communication Networks
    2.4.1 Quantized Estimation Over Noiseless Networks
    2.4.2 Data-Driven Communication for Estimation
    2.4.3 Estimation Over Noisy Networks
  2.5 Open Problems
  References
3 Data Rate Theorem for Stabilization Over Noiseless Channels
  3.1 Problem Statement
  3.2 Classical Approach for Quantized Control
  3.3 Data Rate Theorem for Stabilization
    3.3.1 Proof of Necessity
    3.3.2 Proof of Sufficiency
  3.4 Summary
  References
4 Data Rate Theorem for Stabilization Over Erasure Channels
  4.1 Problem Formulation
  4.2 Single Input Case
    4.2.1 Proof of Necessity
    4.2.2 Proof of Sufficiency
  4.3 Multiple Input Case
  4.4 Summary
  References
5 Data Rate Theorem for Stabilization Over Gilbert-Elliott Channels
  5.1 Problem Formulation
  5.2 Preliminaries
    5.2.1 Random Down Sampling
    5.2.2 Statistical Properties of Sojourn Times
  5.3 Scalar Systems
    5.3.1 Noise Free Systems with Bounded Initial Support
    5.3.2 Proof of Necessity
    5.3.3 Proof of Sufficiency
  5.4 General Stochastic Scalar Systems
    5.4.1 Proof of Necessity
    5.4.2 Proof of Sufficiency
  5.5 Vector Systems
    5.5.1 Real Jordan Form
    5.5.2 Necessity
    5.5.3 Sufficiency
    5.5.4 An Example
  5.6 Summary
  References
6 Stabilization of Linear Systems Over Fading Channels
  6.1 Problem Formulation
  6.2 State Feedback Case
    6.2.1 Parallel Transmission Strategy
    6.2.2 Serial Transmission Strategy
  6.3 Output Feedback Case
    6.3.1 SISO Plants
    6.3.2 Triangularly Decoupled Plants
  6.4 Extension and Application
    6.4.1 Stabilization Over Output Fading Channels
    6.4.2 Stabilization of a Finite Platoon
  6.5 Channel Processing and Channel Feedback
  6.6 Power Constraint
    6.6.1 Feedback Stabilization
    6.6.2 Performance Design
    6.6.3 Numerical Example
  6.7 Summary
  References
7 Stabilization of Linear Systems via Infinite-Level Logarithmic Quantization
  7.1 State Feedback Case
    7.1.1 Logarithmic Quantization
    7.1.2 Sector Bound Approach
  7.2 Output Feedback Case
    7.2.1 Quantized Control
    7.2.2 Quantized Measurements
  7.3 Stabilization of MIMO Systems
    7.3.1 Quantized Control
    7.3.2 Quantized Measurements
  7.4 Quantized Quadratic Performance Control
  7.5 Quantized H1 Control
  7.6 Summary
  References
8 Stabilization of Linear Systems via Finite-Level Logarithmic Quantization
  8.1 Quadratic Stabilization via Finite-level Quantization
    8.1.1 Finite-level Quantizer
    8.1.2 Number of Quantization Levels
    8.1.3 Robustness Against Additive Noises
    8.1.4 Illustrative Examples
  8.2 Attainability of the Minimum Data Rate for Stabilization
    8.2.1 Problem Simplification
    8.2.2 Network Configuration
    8.2.3 Quantized Control Feedback
    8.2.4 Quantized State Feedback
  8.3 Summary
  References
9 Stabilization of Markov Jump Linear Systems via Logarithmic Quantization
  9.1 State Feedback Case
    9.1.1 Feedback Stabilization
    9.1.2 Special Schemes
    9.1.3 Mode Estimation
  9.2 Stabilization Over Lossy Channels
    9.2.1 Binary Dropouts Model
    9.2.2 Bounded Dropouts Model
    9.2.3 Extension to Output Feedback
  9.3 Summary
  References
10 Kalman Filtering with Quantized Innovations
  10.1 Problem Formulation
  10.2 Quantized Innovations Kalman Filter
    10.2.1 Multi-level Quantized Filtering
    10.2.2 Optimal Quantization Thresholds
    10.2.3 Convergence Analysis
  10.3 Robust Quantization
  10.4 A Numerical Example
  10.5 Summary
  References
11 LQG Control with Quantized Innovation Kalman Filter
  11.1 Problem Formulation
  11.2 Separation Principle
  11.3 State Estimator Design
  11.4 Controller Design
  11.5 An Illustrative Example
  11.6 Summary
  References
12 Kalman Filtering with Faded Measurements
  12.1 Problem Formulation
  12.2 Stability Analysis of Kalman Filter with Fading
    12.2.1 Preliminaries
    12.2.2 Mean Covariance Stability
  12.3 A Numerical Example
  12.4 Summary
  References
13 Kalman Filtering with Packet Losses
  13.1 Networked Estimation
    13.1.1 Intermittent Kalman Filter
    13.1.2 Stability Notions
  13.2 Equivalence of the Two Stability Notions
  13.3 Second-Order Systems
  13.4 Higher-Order Systems
    13.4.1 Non-degenerate Systems
  13.5 Illustrative Examples
  13.6 Proofs
    13.6.1 Proof of Theorem 13.3
    13.6.2 Proof of Theorem 13.4
    13.6.3 Proofs of Results in Sect. 13.4
  13.7 Summary
  References
14 Kalman Filtering with Scheduled Measurements
  14.1 Networked Estimation
    14.1.1 Scheduling Problems
  14.2 Controllable Scheduler
    14.2.1 An Approximate MMSE Estimator
    14.2.2 An Illustrative Example
    14.2.3 Stability Analysis
  14.3 Uncontrollable Scheduler
    14.3.1 Intermittent Kalman Filter
    14.3.2 Second-Order System
    14.3.3 Higher-Order System
  14.4 Summary
  References
15 Parameter Estimation with Scheduled Measurements
  15.1 Innovation Based Scheduler
  15.2 Maximum Likelihood Estimation
    15.2.1 ML Estimator
    15.2.2 Estimation Performance
    15.2.3 Optimal Scheduler
  15.3 Naive Estimation
  15.4 Iterative ML Estimation
    15.4.1 Adaptive Scheduler
  15.5 Proof of Theorem 15.1
  15.6 EM-Based Estimation
    15.6.1 Design of b yk
  15.7 Numerical Example
  15.8 Summary
  References
Appendix A: On Matrices
Index
A Background Materials
  A.1 Martingales
  A.2 Markov Chains
  A.3 Weak Convergence
  A.4 Miscellany
References
Index


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