Page 8 - Distributed model predictive control for plant-wide systems

vi Contents

2.2.3 Optimization 22
2.2.4 Feedback Correction 23
2.2.5 DMC with Constraint 24
2.3 Predictive Control with the State Space Model 26
2.3.1 System Model 27
2.3.2 Performance Index 28
2.3.3 Prediction 28
2.3.4 Closed-Loop Solution 30
2.3.5 State Space MPC with Constraint 31
2.4 Dual Mode Predictive Control 33
2.4.1 Invariant Region 33
2.4.2 MPC Formulation 34
2.4.3 Algorithms 35
2.4.4 Feasibility and Stability 36
2.5 Conclusion 37
3 Control Structure of Distributed MPC 39
3.1 Introduction 39
3.2 Centralized MPC 40
3.3 Single-Layer Distributed MPC 41
3.4 Hierarchical Distributed MPC 42
3.5 Example of the Hierarchical DMPC Structure 43
3.6 Conclusion 45
4 Structure Model and System Decomposition 47
4.1 Introduction 47
4.2 System Mathematic Model 48
4.3 Structure Model and Structure Controllability 50
4.3.1 Structure Model 50
4.3.2 Function of the Structure Model in System Decomposition 51
4.3.3 Input–Output Accessibility 53
4.3.4 General Rank of the Structure Matrix 56
4.3.5 Structure Controllability 56
4.4 Related Gain Array Decomposition 58
4.4.1 RGA Definition 59
4.4.2 RGA Interpretation 60
4.4.3 Pairing Rules 61
4.5 Conclusion 63

Part II UNCONSTRAINED DISTRIBUTED PREDICTIVE CONTROL

5 Local Cost Optimization-based Distributed Model Predictive Control 67
5.1 Introduction 67
5.2 Local Cost Optimization-based Distributed Predictive Control 68
5.2.1 Problem Description 68
5.2.2 DMPC Formulation 69