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1 | (14) |
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1 | (5) |
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1.1.1 Sewer Networks as Complex Systems |
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2 | (2) |
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1.1.2 Model Predictive Control |
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4 | (2) |
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1.1.3 Fault-tolerant Control |
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6 | (1) |
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1.2 Main Objectives of the Book |
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6 | (1) |
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7 | (8) |
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Part I Background and Case Study Modelling |
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15 | (26) |
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2.1 Sewer Networks: Definitions and Real-time Control |
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15 | (11) |
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2.1.1 Description and Main Concepts |
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15 | (7) |
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2.1.2 RTC of Sewage Systems |
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22 | (4) |
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2.2 MPC and Hybrid Systems |
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26 | (6) |
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2.2.1 MPC Strategy Description |
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26 | (3) |
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29 | (1) |
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2.2.3 MPC Problem and Hybrid Systems |
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30 | (2) |
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2.3 Fault-tolerance Mechanisms |
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32 | (8) |
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2.3.1 Fault Tolerance by Adapting the Control Strategy |
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33 | (5) |
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2.3.2 Fault Tolerance by Repositioning Sensors and / or Actuators |
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38 | (2) |
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40 | (1) |
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3 Principles of the Mathematical Modelling of Sewer Networks |
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41 | (20) |
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3.1 Fundamentals of the Mathematical Model |
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41 | (5) |
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3.1.1 Virtual and Real Tanks |
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43 | (1) |
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44 | (1) |
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3.1.3 Weirs (Nodes) and Sewage Pipes |
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45 | (1) |
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3.2 Calibration of Model Parameters |
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46 | (2) |
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3.3 Description of the Case Study |
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48 | (8) |
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3.3.1 Barcelona's Sewer Network |
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48 | (2) |
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3.3.2 Barcelona Test Catchment |
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50 | (5) |
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55 | (1) |
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56 | (5) |
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Part II Model Predictive Control of Sewer Networks |
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4 Formulating the Model Predictive Control Problem |
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61 | (18) |
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4.1 General Considerations |
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61 | (2) |
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4.2 Control Problem Formulation |
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63 | (3) |
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64 | (1) |
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4.2.2 Cost Function Formulation |
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64 | (2) |
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4.2.3 Control Problem Constraints |
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66 | (1) |
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4.3 Multi-Objective Optimisation |
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66 | (3) |
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4.4 Closed-loop System Configuration |
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69 | (4) |
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69 | (1) |
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4.4.2 Simulation of Scenarios |
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70 | (2) |
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4.4.3 Criteria for Comparison |
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72 | (1) |
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4.5 Discussion of the Results |
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73 | (4) |
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77 | (2) |
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5 MPC Problem Formulation and Hybrid Systems |
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79 | (26) |
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5.1 Hybrid Modelling Methodology |
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80 | (15) |
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80 | (2) |
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5.1.2 Real Tanks with Input Gates (RTIG) |
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82 | (5) |
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5.1.3 Redirection Gates (RG) |
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87 | (4) |
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91 | (1) |
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5.1.5 The Entire MLD Catchment Model |
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92 | (3) |
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5.2 Predictive Control Strategy |
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95 | (2) |
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95 | (1) |
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95 | (1) |
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5.2.3 Problem Constraints |
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96 | (1) |
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96 | (1) |
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5.3 Simulation and Results |
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97 | (5) |
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97 | (1) |
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5.3.2 MLD Model Descriptions and Controller Set-up |
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98 | (3) |
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5.3.3 Performance Improvement |
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101 | (1) |
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102 | (3) |
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6 Suboptimal Hybrid Model Predictive Control |
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105 | (34) |
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105 | (4) |
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109 | (3) |
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6.2.1 Phase Transitions in MIP Problems |
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109 | (2) |
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6.2.2 Strategies to Deal with the Complexity of HMPC |
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111 | (1) |
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6.3 HMPC Incorporating Mode Sequence Constraints |
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112 | (8) |
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6.3.1 Description of the Approach |
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112 | (5) |
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117 | (3) |
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6.4 Suboptimal HMPC Strategy for Sewer Networks |
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120 | (5) |
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6.4.1 Suboptimal Strategy Set-up |
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120 | (1) |
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6.4.2 Simulation of Scenarios |
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121 | (1) |
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122 | (3) |
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6.5 Suboptimal MPC Approach Based on Piecewise Linear Functions |
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125 | (9) |
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6.5.1 PWLF Modelling Approach |
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127 | (3) |
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6.5.2 Simulations and Results |
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130 | (4) |
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134 | (5) |
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Part III Fault-tolerance Capabilities of Model Predictive Control |
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7 Model Predictive Control and Fault Tolerance |
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139 | (28) |
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139 | (2) |
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7.2 Fault-tolerant Control and Hybrid Systems |
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141 | (2) |
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7.3 Fault-tolerance Capabilities of MPC |
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143 | (2) |
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7.3.1 Implicit Capabilities |
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143 | (2) |
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7.3.2 Explicit Capabilities |
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145 | (1) |
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7.4 Including Fault Tolerance in HMPC |
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145 | (8) |
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7.4.1 Implicit Fault-tolerant HMPC |
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146 | (3) |
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7.4.2 Explicit Fault-tolerant HMPC |
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149 | (1) |
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7.4.3 An Illustrative Example |
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150 | (3) |
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7.5 Some FTHMPC Implementation Schemes |
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153 | (2) |
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7.6 Fault-tolerant HMPC of Sewer Networks |
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155 | (9) |
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155 | (2) |
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7.6.2 Linear Plant Models and Actuator Faults |
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157 | (1) |
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7.6.3 Hybrid Modelling and Actuator Faults |
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157 | (3) |
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7.6.4 Implementation and Results |
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160 | (4) |
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164 | (3) |
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8 Fault-tolerance Evaluation of Actuator Fault Configurations |
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167 | (28) |
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167 | (1) |
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8.2 Preliminary Definitions |
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168 | (2) |
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8.3 Admissibility Evaluation Approaches |
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170 | (12) |
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8.3.1 Admissibility Evaluation Using Constraint Satisfaction |
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170 | (5) |
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8.3.2 Admissibility Evaluation Using Set Computation |
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175 | (7) |
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8.4 Actuator Fault Tolerance Evaluation in Sewer Networks |
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182 | (5) |
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182 | (3) |
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8.4.2 Control Objectives and Admissibility Criterion |
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185 | (1) |
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186 | (1) |
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187 | (8) |
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Part IV Concluding Remarks |
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195 | (6) |
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195 | (3) |
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9.2 Possible Directions for Future Research |
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198 | (3) |
References |
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201 | (12) |
Index |
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213 | |