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A game theoretic approach for multi-robot coordination to guarantee security in critical scenarios, from theory to real applications

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Academic year: 2021

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Contents

List of Figures x

Abstract 1

Acknowledgements 5

1 Introduction 7

1.1 The Asymmetric Threat Protection Problem . . . 7

1.2 The Robotic Approach . . . 9

1.3 Thesis Main Contributions . . . 11

1.3.1 Academy and Industry Collaboration . . . 12

1.4 Application Scenarios . . . 14

1.4.1 Military Scenario . . . 15

1.4.2 Civilian Scenario . . . 18

1.5 Collateral Research Topics . . . 21

1.5.1 Team Coordination Protocols for Environment Re-construction . . . 21

1.5.2 Distributed Indoor Navigation System for Multi– rotors Platforms . . . 24

1.5.3 Multi–object Handling for Robotic Manufacturing . 27 1.6 Thesis Organization . . . 28

2 Problem Formulation 31 2.1 Introduction . . . 31

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CONTENTS CONTENTS

2.2 Formalization framework . . . 32

3 Distributed Cooperative Control 39 3.1 Introduction . . . 39

3.1.1 The Proposed Approach . . . 41

3.2 Search and Secure: State–of–the–art . . . 44

3.3 Cooperative Control Problem as Potential Game . . . 48

3.3.1 Potential Game . . . 49

3.4 Asymmetric Threats as a Strategic Game . . . 50

3.4.1 Constrained Potential Games . . . 50

3.4.2 Coverage Problem as Constrained Potential Game . 52 4 Game Theoretic Learning Algorithms 55 4.1 State–of–the–art Learning Algorithms . . . 56

4.1.1 The Structure of Learning Algorithm . . . 59

4.1.2 DISL Algorithm . . . 60

4.1.3 PIPIP Algorithm . . . 61

4.2 Homogeneous Algorithms . . . 64

4.2.1 Distributed Learning . . . 64

4.2.2 Applicability to the Intruder Tracking Problem . . . 68

4.3 Trajectory Algorithms . . . 69

4.3.1 Trajectory Algorithm: T–DISL . . . 71

4.3.2 Convergence Results . . . 73

4.3.3 Applicability to the Asymmetric Threat Problem . . 76

5 Serious Game Framework 77 5.1 NoStop Introduction . . . 77

5.2 System Requirements . . . 79

5.3 Software Architecture . . . 80

5.3.1 Coordination Protocol Architecture . . . 83

5.4 Hardware integration . . . 84

5.5 NoStop Evaluation and Validation . . . 85

5.5.1 Actions Selection Set . . . 86

5.5.2 Validation of Homogeneous Algorithm in Static En-vironments . . . 86

5.5.3 Simulations in Dynamic Environments . . . 90 5.5.4 Simulations of T –Algorithms in Static Environments 95

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CONTENTS CONTENTS

5.5.5 Learning Algorithms in Dynamic Environments . . . 97

5.5.6 Team Sizing Tool . . . 103

5.6 Algorithms Performance Comparison . . . 103

5.7 Simulation Results Evaluation . . . 111

6 Real Robot Experiments 113 6.1 Distributed Collision Avoidance . . . 118

6.1.1 Introduction . . . 118

6.1.2 Problem Description . . . 120

6.1.3 The Multi–Robot Path Planning Approach . . . 123

6.1.4 Algorithm Properties . . . 131

6.1.5 Experiments and Results . . . 132

6.1.6 Conclusions . . . 134

6.2 Experimental Results . . . 136

6.2.1 Setup . . . 137

6.2.2 Results . . . 139

6.2.3 Conclusions . . . 146

7 Coordination protocol extension 147 7.1 Introduction . . . 147

7.2 Environmental Design . . . 148

7.3 Sensor Modelling . . . 151

7.4 Definition of New Utility Function . . . 156

7.5 Simulation Results . . . 160

7.5.1 Setup . . . 162

8 From Detection to Reaction 167 8.1 Introduction . . . 167

8.2 Problem Formulation . . . 169

8.2.1 Game Theoretic Framework . . . 171

8.3 Intruder Tracking and Herding Problem . . . 173

8.3.1 Virtual Barrier Construction and Orientation . . . . 174

8.3.2 Coordination Protocol . . . 176

8.3.3 Intruder Objectives Identification . . . 177

8.4 Simulation Results . . . 179

8.5 Conclusions . . . 183 v

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CONTENTS CONTENTS 9 Conclusions and Future Works 185

9.1 Conclusions . . . 185

9.2 Future Works . . . 187

9.2.1 Applications to Real Scenarios . . . 187

9.2.2 Other Ways to Go . . . 187

Appendix 189

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