
Distributed Model Predictive Control for Plant-Wide Systems
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Persons
SHAOYUAN LI Shanghai Jiao Tong University, China
YI ZHENG Shanghai Jiao Tong University, China
Content
- Cover
- Title Page
- Copyright
- Contents
- Preface
- About the Authors
- Acknowledgement
- List of Figures
- List of Tables
- Chapter 1 Introduction
- 1.1 Plant-Wide System
- 1.2 Control System Structure of the Plant-Wide System
- 1.2.1 Centralized Control
- 1.2.2 Decentralized Control and Hierarchical Coordinated Decentralized Control
- 1.2.3 Distributed Control
- 1.3 Predictive Control
- 1.3.1 What is Predictive Control
- 1.3.2 Advantage of Predictive Control
- 1.4 Distributed Predictive Control
- 1.4.1 Why Distributed Predictive Control
- 1.4.2 What is Distributed Predictive Control
- 1.4.3 Advantage of Distributed Predictive Control
- 1.4.4 Classification of DMPC
- 1.5 About this Book
- Part I Foundation
- Chapter 2 Model Predictive Control
- 2.1 Introduction
- 2.2 Dynamic Matrix Control
- 2.2.1 Step Response Model
- 2.2.2 Prediction
- 2.2.3 Optimization
- 2.2.4 Feedback Correction
- 2.2.5 DMC with Constraint
- 2.3 Predictive Control with the State Space Model
- 2.3.1 System Model
- 2.3.2 Performance Index
- 2.3.3 Prediction
- 2.3.4 Closed-Loop Solution
- 2.3.5 State Space MPC with Constraint
- 2.4 Dual Mode Predictive Control
- 2.4.1 Invariant Region
- 2.4.2 MPC Formulation
- 2.4.3 Algorithms
- 2.4.4 Feasibility and Stability
- 2.5 Conclusion
- Chapter 3 Control Structure of Distributed MPC
- 3.1 Introduction
- 3.2 Centralized MPC
- 3.3 Single-Layer Distributed MPC
- 3.4 Hierarchical Distributed MPC
- 3.5 Example of the Hierarchical DMPC Structure
- 3.6 Conclusion
- Chapter 4 Structure Model and System Decomposition
- 4.1 Introduction
- 4.2 System Mathematic Model
- 4.3 Structure Model and Structure Controllability
- 4.3.1 Structure Model
- 4.3.2 Function of the Structure Model in System Decomposition
- 4.3.3 Input-Output Accessibility
- 4.3.4 General Rank of the Structure Matrix
- 4.3.5 Structure Controllability
- 4.4 Related Gain Array Decomposition
- 4.4.1 RGA Definition
- 4.4.2 RGA Interpretation
- 4.4.3 Pairing Rules
- 4.5 Conclusion
- Part II Unconstrained Distributed Predictive Control
- Chapter 5 Local Cost Optimization-based Distributed Model Predictive Control
- 5.1 Introduction
- 5.2 Local Cost Optimization-based Distributed Predictive Contro
- 5.2.1 Problem Description
- 5.2.2 DMPC Formulation
- 5.2.3 Closed-loop Solution
- 5.2.4 Stability Analysis
- 5.2.5 Simulation Results
- 5.3 Distributed MPC Strategy Based on Nash Optimality
- 5.3.1 Formulation
- 5.3.2 Algorithm
- 5.3.3 Computational Convergence for Linear Systems
- 5.3.4 Nominal Stability of Distributed Model Predictive Control System
- 5.3.5 Performance Analysis with Single-step Horizon Control Under Communication Failure
- 5.3.6 Simulation Results
- 5.4 Conclusion
- Appendix
- Appendix A. QP problem transformation
- Appendix B. Proof of Theorem 5.1
- Chapter 6 Cooperative Distributed Predictive Control
- 6.1 Introduction
- 6.2 Noniterative Cooperative DMPC
- 6.2.1 System Description
- 6.2.2 Formulation
- 6.2.3 Closed-Form Solution
- 6.2.4 Stability and Performance Analysis
- 6.2.5 Example
- 6.3 Distributed Predictive Control based on Pareto Optimality
- 6.3.1 Formulation
- 6.3.2 Algorithm
- 6.3.3 The DMPC Algorithm Based on Plant-Wide Optimality
- 6.3.4 The Convergence Analysis of the Algorithm
- 6.4 Simulation
- 6.5 Conclusions
- Chapter 7 Networked Distributed Predictive Control with Information Structure Constraints
- 7.1 Introduction
- 7.2 Noniterative Networked DMPC
- 7.2.1 Problem Description
- 7.2.2 DMPC Formulation
- 7.2.3 Closed-Form Solution
- 7.2.4 Stability Analysis
- 7.2.5 Analysis of Performance
- 7.2.6 Numerical Validation
- 7.3 Networked DMPC with Iterative Algorithm
- 7.3.1 Problem Description
- 7.3.2 DMPC Formulation
- 7.3.3 Networked MPC Algorithm
- 7.3.4 Convergence and Optimality Analysis for Networked
- 7.3.5 Nominal Stability Analysis for Distributed Control Systems
- 7.3.6 Simulation Study
- 7.4 Conclusion
- Appendix
- Appendix A. Proof of Lemma 7.1
- Appendix B. Proof of Lemma 7.2
- Appendix C. Proof of Lemma 7.3
- Appendix D. Proof of Theorem 7.1
- Appendix E. Proof of Theorem 7.2
- Appendix F. Derivation of the QP problem (7.52)
- Part III Constraint Distributed Predictive Control
- Chapter 8 Local Cost Optimization Based Distributed Predictive Control with Constraints
- 8.1 Introduction
- 8.2 Problem Description
- 8.3 Stabilizing Dual Mode Noncooperative DMPC with Input Constraints
- 8.3.1 Formulation
- 8.3.2 Algorithm Design for Resolving Each Subsystem-based Predictive Control
- 8.4 Analysis
- 8.4.1 Recursive Feasibility of Each Subsystem-based Predictive Control
- 8.4.2 Stability Analysis of Entire Closed-loop System
- 8.5 Example
- 8.5.1 The System
- 8.5.2 Performance Comparison with the Centralized MPC
- 8.6 Conclusion
- Chapter 9 Cooperative Distributed Predictive Control with Constraints
- 9.1 Introduction
- 9.2 System Description
- 9.3 Stabilizing Cooperative DMPC with Input Constraints
- 9.3.1 Formulation
- 9.3.2 Constraint C-DMPC Algorithm
- 9.4 Analysis
- 9.4.1 Feasibility
- 9.4.2 Stability
- 9.5 Simulation
- 9.6 Conclusion
- Chapter 10 Networked Distributed Predictive Control with Inputs and Information Structure Constraints
- 10.1 Introduction
- 10.2 Problem Description
- 10.3 Constrained N-DMPC
- 10.3.1 Formulation
- 10.3.2 Algorithm Design for Resolving Each Subsystem-based Predictive Control
- 10.4 Analysis
- 10.4.1 Feasibility
- 10.4.2 Stability
- 10.5 Formulations Under Other Coordination Strategies
- 10.5.1 Local Cost Optimization Based DMPC
- 10.5.2 Cooperative DMPC
- 10.6 Simulation Results
- 10.6.1 The System
- 10.6.2 Performance of Closed-loop System under the N-DMPC
- 10.6.3 Performance Comparison with the Centralized MPC and the Local Cost Optimization based MPC
- 10.7 Conclusions
- Part IV Application
- Chapter 11 Hot-Rolled Strip Laminar Cooling Process with Distributed Predictive Control
- 11.1 Introduction
- 11.2 Laminar Cooling of Hot-rolled Strip
- 11.2.1 Description
- 11.2.2 Thermodynamic Model
- 11.2.3 Problem Statement
- 11.3 Control Strategy of HSLC
- 11.3.1 State Space Model of Subsystems
- 11.3.2 Design of Extended Kalman Filter
- 11.3.3 Predictor
- 11.3.4 Local MPC Formulation
- 11.3.5 Iterative Algorithm
- 11.4 Numerical Experiment
- 11.4.1 Validation of Designed Model
- 11.4.2 Convergence of EKF
- 11.4.3 Performance of DMPC Comparing with Centralized MPC
- 11.4.4 Advantages of the Proposed DMPC Framework Comparing with the Existing Method
- 11.5 Experimental Results
- 11.6 Conclusion
- Chapter 12 High-Speed Train Control with Distributed Predictive Control
- 12.1 Introduction
- 12.2 System Description
- 12.3 N-DMPC for High-Speed Trains
- 12.3.1 Three Types of Force
- 12.3.2 The Force Analysis of EMUs
- 12.3.3 Model of CRH2
- 12.3.4 Performance Index
- 12.3.5 Optimization Problem
- 12.4 Simulation Results
- 12.4.1 Parameters of CRH2
- 12.4.2 Simulation Matrix
- 12.4.3 Results and Some Comments
- 12.5 Conclusion
- Chapter 13 Operation Optimization of Multitype Cooling Source System Based on DMPC
- 13.1 Introduction
- 13.2 Structure of Joint Cooling System
- 13.3 Control Strategy of Joint Cooling System
- 13.3.1 Economic Optimization Strategy
- 13.3.2 Design of Distributed Model Predictive Control in Multitype Cold Source System
- 13.4 Results and Analysis of Simulation
- 13.5 Conclusion
- References
- Index
- EULA
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