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1 | (16) |
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1.1 Background on Cyber-physical Systems and Distributed Parameter Systems |
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1 | (6) |
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1.1.1 Cyber-physical Systems |
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1 | (6) |
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1.1.2 Distributed Parameter Systems |
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7 | (1) |
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1.2 Motivations for Monograph Research and Application Scenarios |
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7 | (6) |
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1.2.1 Optimal Measurements in DPS |
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8 | (1) |
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1.2.2 Scenarios for Optimal Operations of a Mobile Actuator/Sensor Network |
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9 | (3) |
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1.2.3 Fractional-Order Cyber-physical Systems (FOCPS) |
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12 | (1) |
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1.3 Summary of Monograph Contributions |
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13 | (1) |
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14 | (3) |
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2 Distributed Parameter Systems: Controllability, Observability, and Identification |
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17 | (14) |
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2.1 Mathematical Description |
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17 | (4) |
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17 | (1) |
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2.1.2 Actuator Definition |
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18 | (1) |
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19 | (2) |
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2.2 Regional Controllability |
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21 | (1) |
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2.3 Regional Observability |
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22 | (2) |
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2.4 Parameter Identification and Optimal Experiment Design |
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24 | (5) |
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24 | (1) |
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2.4.2 Parameter Identification |
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25 | (1) |
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2.4.3 Sensor Location Problem |
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25 | (1) |
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2.4.4 Sensor Clustering Phenomenon |
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26 | (1) |
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2.4.5 Dependence of the Solution on Initial Parameter Estimates |
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27 | (2) |
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29 | (2) |
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3 Optimal Heterogeneous Mobile Sensing for Parameter Estimation of Distributed Parameter Systems |
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31 | (20) |
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31 | (1) |
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3.2 Optimal Sensor Location Problem |
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32 | (3) |
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35 | (2) |
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35 | (1) |
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3.3.2 Pathwise State Constraints |
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35 | (1) |
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3.3.3 Parameterization of Vehicle Controls |
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36 | (1) |
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3.4 Characterization of Optimal Solutions |
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37 | (3) |
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3.5 Optimal Control Formulation of the Search for the Candidate Support Point |
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40 | (1) |
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41 | (2) |
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3.7 Optimal Measurement Problem in the Average Sense |
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43 | (6) |
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3.7.1 A Limitation of the Design of Optimal Sensing Policies for Parameter Estimation |
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43 | (2) |
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45 | (1) |
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3.7.3 An Illustrative Example |
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46 | (3) |
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49 | (2) |
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4 Optimal Mobile Remote Sensing Policies |
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51 | (12) |
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51 | (3) |
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51 | (1) |
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4.1.2 Problem Formulation for PDE Parameter Estimation |
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52 | (2) |
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4.2 Optimal Measurement Problem |
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54 | (2) |
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4.2.1 Mobile Sensor Model |
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54 | (2) |
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56 | (1) |
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4.3 Optimal Control Formulation |
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56 | (2) |
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4.4 An Illustrative Example |
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58 | (1) |
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59 | (4) |
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5 Online Optimal Mobile Sensing Policies: Finite-Horizon Control Framework |
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63 | (16) |
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63 | (1) |
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5.2 Optimal Mobile Sensing Policy: Finite-Horizon Closed-Loop Solution |
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64 | (7) |
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5.2.1 A DPS and Its Mobile Sensors |
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64 | (1) |
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5.2.2 Interlaced Optimal Trajectory Planning |
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65 | (2) |
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5.2.3 Illustrative Simulations |
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67 | (1) |
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5.2.4 A Second Illustrative Example |
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67 | (4) |
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5.3 Communication Topology in Online Optimal Sensing Policy for Parameter Estimation of Distributed Parameter Systems |
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71 | (4) |
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5.3.1 The Interlaced Scheme with Communication Topology |
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71 | (1) |
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5.3.2 An Illustrative Example |
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72 | (3) |
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5.4 Convergence of the Interlaced Scheme |
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75 | (2) |
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77 | (2) |
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6 Optimal Mobile Actuation/Sensing Policies for Parameter Estimation of Distributed Parameter Systems |
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79 | (18) |
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79 | (2) |
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6.1.1 Problem Formulation for PDE Parameter Estimation |
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80 | (1) |
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6.2 Optimal Actuation Problem |
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81 | (4) |
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6.2.1 Mobile Actuator Model |
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81 | (1) |
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82 | (1) |
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6.2.3 An Illustrative Example |
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83 | (2) |
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6.3 Optimal Measurement/Actuation Problem |
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85 | (9) |
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6.3.1 Mobile Sensor/Actuator Model |
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85 | (6) |
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91 | (1) |
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6.3.3 An Illustrative Example |
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92 | (2) |
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94 | (3) |
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7 Optimal Mobile Sensing with Fractional Sensor Dynamics |
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97 | (20) |
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97 | (1) |
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7.2 Fractional Optimal Control Problem Formulation |
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98 | (1) |
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7.3 Oustaloup Recursive Approximation of the Fractional Derivative Operator |
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99 | (2) |
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7.4 Fractional Optimal Control Problem Reformulation. I |
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101 | (1) |
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7.5 Impulse-Response-Based Linear Approximation of Fractional Transfer Functions |
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102 | (3) |
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7.5.1 Approximation Method |
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102 | (2) |
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7.5.2 Suboptimal Approximation of the Fractional Integrator |
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104 | (1) |
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7.6 Fractional Optimal Control Problem Reformulation. II |
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105 | (2) |
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7.7 Illustrative Examples |
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107 | (3) |
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7.7.1 A Linear Time-Invariant Problem |
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107 | (1) |
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7.7.2 A Linear Time-Variant Problem |
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108 | (2) |
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7.8 Optimal Mobile Sensing Policies with Fractional Sensor Dynamics |
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110 | (5) |
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110 | (1) |
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7.8.2 Optimal Measurement Problem |
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111 | (1) |
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7.8.3 Optimal Control Problem Reformulation |
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112 | (1) |
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7.8.4 An Illustrative Example |
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113 | (2) |
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115 | (2) |
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8 Optimal Mobile Remote Sensing Policy for Downscaling and Assimilation Problems |
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117 | (18) |
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8.1 Background on Downscaling and Data Assimilation |
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117 | (7) |
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117 | (3) |
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120 | (4) |
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8.2 Downscaling and Assimilation Problems for Surface Soil Moisture |
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124 | (4) |
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124 | (1) |
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8.2.2 Kaheil and McKee's Algorithm |
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124 | (4) |
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8.3 Introduction of UAV-Based Remote Sensors |
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128 | (1) |
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8.4 Optimal Trajectories for Data Assimilation |
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128 | (3) |
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8.4.1 Description of the Problem |
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128 | (2) |
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8.4.2 Problem Formulation |
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130 | (1) |
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8.4.3 Numerical Method to Find the Solution |
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130 | (1) |
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8.5 An Illustrative Example |
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131 | (2) |
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8.5.1 System's Description |
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131 | (1) |
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131 | (2) |
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133 | (2) |
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9 Conclusions and Future Work |
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135 | (4) |
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135 | (1) |
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9.2 Future Research Directions |
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136 | (3) |
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9.2.1 Communication Topology Influence on Regional Controllability and Observability for DPS |
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137 | (1) |
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9.2.2 Directed Communication Topologies |
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137 | (1) |
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9.2.3 Regional Identifiability of a DPS |
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137 | (2) |
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139 | (4) |
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139 | (1) |
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A.2 Special Notation in Chap. 2 |
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140 | (1) |
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A.3 Special Notation in Chap. 3 |
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140 | (1) |
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A.4 Special Notation in Chap. 4 |
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140 | (1) |
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A.5 Special Notation in Chap. 6 |
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140 | (1) |
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A.6 Special Notation in Chap. 7 |
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141 | (2) |
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Appendix B RIOTS Tutorial |
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143 | (4) |
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143 | (1) |
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144 | (1) |
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B.3 Class of Optimal Control Problems Solvable by RIOTS_95 |
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145 | (2) |
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Appendix C Implementations |
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147 | (14) |
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C.1 Remote Sensors Trajectory Optimization |
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147 | (5) |
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C.2 Online Scheme for Trajectory Optimization |
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152 | (5) |
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C.3 Fractional-Order Trajectory Optimization |
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157 | (4) |
References |
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161 | (8) |
Index |
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169 | |