Nonlinear control and filtering for stochastic networked systems

243 Pages·2019·9.967 MB·English

by  Bo, Yuming, Ma, Lifeng, Wang, Zidong

Nonlinear Control and
Filtering for Stochastic
Networked Systems

Nonlinear Control and
Filtering for Stochastic
Networked Systems
Lifeng Ma
Zidong Wang
Yuming Bo
Published in 2019 by CRC Press
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This book is dedicated to the Dream Dynasty,
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handling both stochasticity and nonlinearity through
filtering noises as well as controlling complexities in a
networked way ......

Contents
Preface xi
Acknowledgements xiii
Symbols xv
1 Introduction 1
1.1 Nonlinear Stochastic Networked Systems . . . . . . . . . . . 1
1.2 Sliding Mode Control . . . . . . . . . . . . . . . . . . . . . . 3
1.3 Distributed Filtering . . . . . . . . . . . . . . . . . . . . . . 4
1.4 Cyber Attacks . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.5 Network-Induced Randomly Occurring Phenomena . . . . . 7
1.6 Nonlinear Stochastic Multi-Agent Systems . . . . . . . . . . 9
1.7 Consensus of Nonlinear Multi-Agent Systems with Stochastic
Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.8 Consensus with Stochastic Topologies . . . . . . . . . . . . . 19
1.9 Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2 Robust Sliding Mode Control for Nonlinear Stochastic
∞
H
Systems with Multiple Data Packet Losses 25
2.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 26
2.2 Design of Sliding Model Controllers . . . . . . . . . . . . . . 28
2.3 An Illustrative Example . . . . . . . . . . . . . . . . . . . . . 41
2.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
3 SlidingModeControlforAClassofNonlinearDiscrete-Time
Networked Systems with Multiple Stochastic Communica-
tion Delays 47
3.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 48
3.2 Design of SMC . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3.3 Sliding Mode Controller . . . . . . . . . . . . . . . . . . . . . 56
3.4 An Illustrative Example . . . . . . . . . . . . . . . . . . . . . 58
3.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
4 SlidingModeControlfor NonlinearNetworked Systems with
Stochastic Communication Delays 67
4.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 68
vii
viii Contents
4.2 Design of SMC . . . . . . . . . . . . . . . . . . . . . . . . . . 69
4.3 Sliding Mode Controller . . . . . . . . . . . . . . . . . . . . . 77
4.4 An Illustrative Example . . . . . . . . . . . . . . . . . . . . . 80
4.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
5 Reliable Control for A Class of Nonlinear Time-Varying
∞
H
Stochastic Systems with Randomly Occurring Sensor Fail-
ures 87
5.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 88
5.2 Performance . . . . . . . . . . . . . . . . . . . . . . . . . 92
∞
H
5.3 Controller Design . . . . . . . . . . . . . . . . . . . . . . . . 95
5.4 Numerical Example . . . . . . . . . . . . . . . . . . . . . . . 99
5.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
6 Event-Triggered Mean Square Consensus Control for Time-
Varying Stochastic Multi-Agent System with Sensor Satura-
tions 101
6.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 102
6.2 Main Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
6.3 Illustrative Example . . . . . . . . . . . . . . . . . . . . . . . 114
6.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
7 Mean-Square ConsensusControlforAClassofNonlinear
∞
H
Time-Varying Stochastic Multi-Agent Systems: The Finite-
Horizon Case 121
7.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 122
7.2 Main Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
7.3 Illustrative Example . . . . . . . . . . . . . . . . . . . . . . . 139
7.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142
8 Consensus Control for Nonlinear Multi-Agent Systems Sub-
ject to Deception Attacks 143
8.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 144
8.2 Main Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
8.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
9 Distributed Event-Based Set-Membership Filtering for A
ClassofNonlinearSystemswithSensorSaturationsoverSen-
sor Networks 155
9.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 157
9.2 Distributed Event-BasedSet-Membership Filter Design . . . 160
9.3 An Illustrative Example . . . . . . . . . . . . . . . . . . . . . 171
9.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
Contents ix
10 Variance-Constrained Distributed Filtering for Time-varying
Systems with Multiplicative Noises and Deception Attacks
over Sensor Networks 179
10.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . 180
10.2 Distributed Filter Design . . . . . . . . . . . . . . . . . . . . 186
10.3 Numerical Example . . . . . . . . . . . . . . . . . . . . . . . 192
10.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197
11 Conclusions and Future Topics 199
Bibliography 201
Index 225