内容简介:
Glocal control, a term coined by Professor Shinji Hara at The University of Tokyo, represents a new framework for studying behaviour of complex dynamical systems from a feedback control perspective. A large number of dynamical components can be interconnected and interact with each other to form an integrated system with certain functionalities. Such complex systems are found in nature and have been created by man, including gene regulatory networks, neuronal circuits for memory, decision making, and motor control, bird flocking, global climate dynamics, central processing units for computers, electrical power grids, the World Wide Web, and financial markets. A common feature of these systems is that a global property or function emerges as a result of local, distributed, dynamical interactions of components. The objective of 'glocal' (global+local) control is to understand the mechanisms underlying this feature, analyze existing complex systems, and to design and create innovative systems with new functionalities. This book is dedicated to Professor Shinji Hara on the occasion of his 60th birthday, collecting the latest results by leading experts in control theories to lay a solid foundation towards the establishment of glocal control theory in the coming decades.
英文目录:
Preface
Selected Publications of Shinji Hara
List of Contributors
PART I Robust and Optimal Control
1 Measurement-based control design for unknown systems
Abstract
1.1 Introduction
1.2 Linear networks
1.3 Controller design for an unknown system
1.4 Concluding remarks
Acknowledgment
References
2 Quantized linear quadratic Gaussian control for scalar systems
Abstract
2.1 Introduction
2.2 Problem statement
2.3 Weak separation principle and quantized state estimation
2.4 Quantized LQG control for a scalar system
2.5 Conclusion
References
3 Robust H∞ filter design for nonuniformly sampled systems
Abstract
3.1 Introduction
3.2 Problem statement
3.3 Preliminaries
3.4 Main results
3.4.1 Analysis
3.4.2 Design
3.5 Numerical example
3.6 Concluding remarks
Acknowledgment
References
4 Analysis of frequency response across switching
Abstract
4.1 Introduction
4.2 Problem statement
4.3 Main results
4.4 Numerical example
References
5 Optimal tracking and power allocation over AWN feedback channels
Abstract
5.1 Introduction
5.2 Preliminaries and problem formulation
5.3 Stabilizability
5.4 Optimal tracking performance
5.5 Conclusion
Acknowledgments
References
6 Stability analysis for a class of Hamiltonian systems with digital control
Abstract
6.1 Introduction
6.2 Problem setup
6.3 Main results
6.3.1 Robustness analysis approach
6.3.2 Stability analysis
6.4 Numerical example
6.5 Conclusion
References
PART II Mathematical System and Control Theory
7 Maximizing mutual information between random variables and applications to order reduction of stochastic processes
Abstract
7.1 Introduction
7.2 The variation of information metric
7.3 MMI as an optimization problem
7.4 A greedy algorithm for MMI in the nm case
7.5 All optimal reduced-order approximations are aggregations
7.6 Finding an optimal aggregation: a reformulation
7.7 Conclusions
Acknowledgment
References
8 On compact sets in the graph topology
Abstract
8.1 Introduction
8.2 Preliminaries
8.2.1 Coprimeness
8.2.2 The graph topology
8.3 On compact sets in the graph topology
8.3.1 MIMO case
8.4 Application to approximate system design
8.4.1 Approximation in sampled-data systems
8.4.2 General approximation results
References
9 Matrix pencils in time and frequency domain system identification
Abstract
9.1 Introduction
9.2 Frequency domain system identification
9.3 Time domain system identification
9.3.1 Subspace identification
9.3.2 Matrix pencil approach
9.3.2.1 Zero initial conditions
9.3.2.2 Example
9.4 Conclusion
Reference
10 Identification of nonparametric piecewise affine models via data compression
Abstract
10.1 Introduction
10.2 Data-based PWA map
10.3 Problem description
10.4 Identification based on data compression
10.4.1 Measure of model complexity
10.4.2 Reduction to optimization problem
10.5 Experiment with a DC motor system
10.6 Conclusion
References
11 Performance benefits in two-axle railway vehicle suspensions employing inerters
Abstract
11.1 Introduction
11.2 Background on the inerter
11.3 Two-axle railway vehicles models and track inputs
11.4 Candidate suspension structures
11.5 Performance benefits of minimizing the vertical body acceleration J1
11.6 Concluding remarks
Acknowledgment
References
12 Stabilization of quantum spin systems via continuous feedback control
Abstract
12.1 Introduction
12.2 Formulation
12.3 Main result
12.4 Numerical example
12.5 Conclusion
References
PART III Networked Dynamical Systems and Glocal Control 119
13 Combining distance-based formation shape control with formation translation
Abstract
13.1 Introduction
13.2 Review of background theory
13.2.1 Notation
13.2.2 Shape control
13.2.3 Flocking behavior
13.3 Combining shape control and flocking
13.3.1 Undirected consensus graph
13.3.2 Undirected consensus graph except for introduction of leader
13.3.3 Directed consensus graph
13.4 Simulations
13.5 Conclusions
Acknowledgments
References
14 Energy management in wireless sensor networks
Abstract
14.1 Introduction
14.1.1 Pervasive networked sensing
14.1.2 Energy management
14.1.3 Summary of results
14.2 Problem formulation
14.2.1 System setup
14.2.2 Battery modeling
14.2.3 Task abstraction
14.2.4 System lifetime
14.2.5 Energy state estimation and certainty equivalence
14.3 Main results: no random failures
14.4 Main results: random failures
14.5 Conclusions and future work
References
15 Distributed randomized PageRank algorithms over unreliable channels
Abstract
15.1 Introduction
15.2 The PageRank problem
15.3 Distributed algorithm under Markovian communication
15.4 Convergence properties of the distributed algorithm
15.5 Conclusion
Acknowledgments
References
16 Stabilization of multi-input networked control systems over additive white Gaussian noise channels
Abstract
16.1 Introduction
16.2 Problem formulation
16.3 Preliminary on optimal control
16.4 Main result
16.5 An illustrative example
16.6 Conclusion
Acknowledgments
References
17 Clustering of large-scale dynamical networks for glocal control
Abstract
17.1 Introduction
17.2 Network clustering for hierarchical modeling
17.2.1 Problem formulation
17.2.2 Cluster reducibility
17.2.3 Numerical examples
17.3 Toward hierarchical distributed observer
17.4 Concluding remarks
References
18 Glocal control for natural oscillations
Abstract
18.1 Introduction
18.2 Problem formulation and approach
18.2.1 Problem statement
18.2.2 Multivariable harmonic balance
18.3 Natural entrainment analysis
18.3.1 The MHB condition
18.3.2 Stability analysis and existence of oscillations
18.4 Conclusion
Acknowledgment
References
In Memory of Hisaya Fujioka
Index