Developments in control theory towards glocal control [festschrift, published on the occasion of the 60th birthday of Shinji Hara ; articles by the invited speakers for the Symposium 'Developments in Control Theory towards Glocal Control', held in honor o

A collection of research articles dedicated to the 60th birthday of Prof. Shinji Hara of the University of Tokyo, highlighting papers on control theory and its applications. - suitable for researchers, PhD students and experienced engineers working in the field of control engineering. Developments in Control Theory Towards Glocal Control......Page 4 Contents......Page 8 Preface......Page 14 Selected Publications of Shinji Hara......Page 18 List of Contributors......Page 24 Part I: Robust and Optimal Control......Page 26 1.2 Linear networks......Page 28 1.3 Controller design for an unknown system......Page 30 References......Page 31 2.1 Introduction......Page 32 2.2 Problem statement......Page 33 2.3 Weak separation principle and quantized state estimation......Page 34 2.4 Quantized LQG control for a scalar system......Page 36 References......Page 39 3.1 Introduction......Page 42 3.2 Problem statement......Page 43 3.3 Preliminaries......Page 45 3.4.1 Analysis......Page 46 3.4.2 Design......Page 47 3.5 Numerical example......Page 48 Acknowledgment......Page 49 References......Page 50 4.1 Introduction......Page 52 4.2 Problem statement......Page 53 4.3 Main results......Page 56 4.4 Numerical example......Page 57 References......Page 60 5.1 Introduction......Page 62 5.2 Preliminaries and problem formulation......Page 64 5.3 Stabilizability......Page 66 5.4 Optimal tracking performance......Page 68 References......Page 71 6.2 Problem setup......Page 74 6.3.2 Stability analysis......Page 76 6.4 Numerical example......Page 78 References......Page 79 Part II: Mathematical System and Control Theory......Page 80 7.1 Introduction......Page 82 7.2 The variation of information metric......Page 83 7.3 MMI as an optimization problem......Page 85 7.4 A greedy algorithm for MMI in the n×m case......Page 86 7.5 All optimal reduced-order approximations are aggregations......Page 87 7.6 Finding an optimal aggregation: a reformulation......Page 88 References......Page 89 8.1 Introduction......Page 92 8.2.1 Coprimeness......Page 93 8.3 On compact sets in the graph topology......Page 95 8.3.1 MIMO case......Page 98 8.4.1 Approximation in sampled-data systems......Page 99 References......Page 101 9.2 Frequency domain system identification......Page 104 9.3.1 Subspace identification......Page 107 9.3.2 Matrix pencil approach......Page 108 9.3.2.1 Zero initial conditions......Page 110 9.3.2.2 Example......Page 111 References......Page 112 10.1 Introduction......Page 114 10.2 Data-based PWA map......Page 116 10.3 Problem description......Page 117 10.4.1 Measure of model complexity......Page 118 10.4.2 Reduction to optimization problem......Page 119 10.5 Experiment with a DC motor system......Page 120 References......Page 123 11.1 Introduction......Page 124 11.2 Background on the inerter......Page 125 11.3 Two-axle railway vehicles models and track inputs......Page 126 11.5 Performance benefits of minimizing the vertical body acceleration J1......Page 127 Acknowledgment......Page 131 References......Page 132 12.1 Introduction......Page 134 12.2 Formulation......Page 135 12.3 Main result......Page 139 12.4 Numerical example......Page 140 12.5 Conclusion......Page 141 References......Page 142 Part III: Networked Dynamical Systems and Glocal Control......Page 144 13.1 Introduction......Page 146 13.2.1 Notation......Page 147 13.2.2 Shape control......Page 148 13.2.3 Flocking behavior......Page 149 13.3.1 Undirected consensus graph......Page 150 13.3.3 Directed consensus graph......Page 151 13.5 Conclusions......Page 153 References......Page 155 14.1.1 Pervasive networked sensing......Page 156 14.1.3 Summary of results......Page 157 14.2.1 System setup......Page 158 14.2.2 Battery modeling......Page 159 14.2.5 Energy state estimation and certainty equivalence......Page 160 14.3 Main results: no random failures......Page 161 14.4 Main results: random failures......Page 163 References......Page 169 15.1 Introduction......Page 172 15.2 The PageRank problem......Page 173 15.3 Distributed algorithm under Markovian communication......Page 174 15.4 Convergence properties of the distributed algorithm......Page 177 References......Page 180 16.1 Introduction......Page 182 16.2 Problem formulation......Page 184 16.3 Preliminary on H2 optimal control......Page 187 16.4 Main result......Page 190 16.5 An illustrative example......Page 193 References......Page 194 17.1 Introduction......Page 198 17.2.1 Problem formulation......Page 199 17.2.2 Cluster reducibility......Page 201 17.2.3 Numerical examples......Page 203 17.3 Toward hierarchical distributed observer......Page 205 References......Page 206 18.1 Introduction......Page 208 18.2.1 Problem statement......Page 209 18.2.2 Multivariable harmonic balance......Page 211 18.3.1 The MHB condition......Page 212 18.3.2 Stability analysis and existence of oscillations......Page 214 References......Page 216 In Memory of Hisaya Fujioka......Page 218 Index......Page 220

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.

Drawing upon a collection of research articles from celebrated authors in the field of control theory and its applications, this Festschrift honours the work of Professor Shinji Hara, and lays a solid foundation towards the 'glocal control' theory This book is a comprehensive collection of the latest in control theories that lay a solid foundation for the establishment of glocal control theory for the coming decades.