Page 9 - Distributed model predictive control for plant-wide systems

Contents vii

5.2.3 Closed-loop Solution 72
5.2.4 Stability Analysis 79
5.2.5 Simulation Results 79
5.3 Distributed MPC Strategy Based on Nash Optimality 82
5.3.1 Formulation 83
5.3.2 Algorithm 86
5.3.3 Computational Convergence for Linear Systems 86
5.3.4 Nominal Stability of Distributed Model Predictive Control System 88
5.3.5 Performance Analysis with Single-step Horizon Control Under
Communication Failure 89
5.3.6 Simulation Results 94
5.4 Conclusion 99
Appendix 99
Appendix A. QP problem transformation 99
Appendix B. Proof of Theorem 5.1 100
6 Cooperative Distributed Predictive Control 103
6.1 Introduction 103
6.2 Noniterative Cooperative DMPC 104
6.2.1 System Description 104
6.2.2 Formulation 104
6.2.3 Closed-Form Solution 107
6.2.4 Stability and Performance Analysis 109
6.2.5 Example 113
6.3 Distributed Predictive Control based on Pareto Optimality 114
6.3.1 Formulation 118
6.3.2 Algorithm 119
6.3.3 The DMPC Algorithm Based on Plant-Wide Optimality 119
6.3.4 The Convergence Analysis of the Algorithm 121
6.4 Simulation 121
6.5 Conclusions 123

7 Networked Distributed Predictive Control with Information
Structure Constraints 125
7.1 Introduction 125
7.2 Noniterative Networked DMPC 126
7.2.1 Problem Description 126
7.2.2 DMPC Formulation 127
7.2.3 Closed-Form Solution 132
7.2.4 Stability Analysis 135
7.2.5 Analysis of Performance 135
7.2.6 Numerical Validation 137
7.3 Networked DMPC with Iterative Algorithm 144
7.3.1 Problem Description 144
7.3.2 DMPC Formulation 145
7.3.3 Networked MPC Algorithm 147
7.3.4 Convergence and Optimality Analysis for Networked 150