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Table of Contents
Intro; Preface; Contents; List of Figures; 1 Introduction; 1.1 General; 1.2 Quadratic Constraintâ#x80;#x94;a Time-Domain Perspective; 1.2.1 Positive Supply Power; 1.2.2 Energy-Dissipative Motion; 1.2.3 Predictive PID Based on Energy-Dissipativity; 1.3 General Dissipativity Constraint; 1.3.1 System Model; 1.3.2 Supply Rates with Compound Vectors; 1.3.3 Stability; 1.3.4 Passivity and Small-Gain Theorems; 1.3.5 Nucleus Contributions; 2 Quadratic Constraint for Decentralised Model Predictive Control; 2.1 Control and System Models; 2.2 Asymptotic Attractivity Condition; 2.2.1 Quadratic Constraint
2.2.2 Attractivity Constraint and Its Qualification2.2.3 Attractivity Condition for Unconstrained Systems; 2.3 Decentralised Model Predictive Control and Quadratic Constraint; 2.3.1 Decentralised Model Predictive Control; 2.3.2 Centralised Moving Horizon State Estimation; 2.3.3 Attractivity Condition for Control-Constrained Systems; 2.4 Decentralised MPC with Quadratic Constraint Algorithm; 2.4.1 Procedure; 2.4.2 Determination of the QDC Coefficient Matrices; 2.5 Numerical Simulation; 2.5.1 Illustrative Example 1; 2.5.2 Illustrative Example 2; 2.5.3 Illustrative Example 3
2.6 Concluding Remarks3 Quadratic Constraint for Parallel Splitting Systems; 3.1 System and Control Model; 3.1.1 Serial Connection; 3.1.2 Parallelised Connection; 3.1.3 Global System; 3.2 Parallel Splitting System with a Matrix Annihilation; 3.2.1 Asymptotically Surely Positive Realness Constraint and Attractability Condition; 3.2.2 Decentralised MPC for Parallel Splitting Systems; 3.3 Parallelised Masking Dissipativity Criterion; 3.3.1 Subsystem Control Model; 3.3.2 Unit Control Model; 3.3.3 Global System Control Model; 3.3.4 Subsystem Stand-Alone Control Model
3.3.5 Dissipative and Attractive Conditions3.4 Numerical Examples; 3.4.1 Decentralised MPC Without Control Constraint; 3.4.2 Decentralised MPC with Control Constraint; 3.4.3 Decentralised MPC with Control Constraint and ASPRC; 3.5 Concluding Remarks; 4 Quadratic Constraint for Semi-automatic Control; 4.1 Semi-automatic Control; 4.2 Stabilising Agent Operation; 4.3 Constructive Procedure for Stabilising Agents; 4.3.1 Stabilising Agent Procedure; 4.3.2 Graphical Presentation; 4.4 Stabilising Agent with Output Tracking; 4.4.1 Steady-State-Independent Quadratic Constraint
4.4.2 Convergence Condition with Output Tracking4.4.3 Stabilising Agent with Output-Tracking Algorithm; 4.4.4 Control Algorithm; 4.5 Illustrative Examples; 4.5.1 Illustrative Example 1â#x80;#x94;Power Systems; 4.5.2 Illustrative Example 2â#x80;#x94;Network Process System; 4.6 Concluding Remarks; 5 Quadratic Constraint with Data Losses; 5.1 Introduction; 5.2 System and Networked Control Models; 5.2.1 System Model; 5.2.2 Deterministic Data-Lost Process; 5.3 Dissipative Condition for Networked Control Systems; 5.4 Stability Condition for Networked Control Systems
2.2.2 Attractivity Constraint and Its Qualification2.2.3 Attractivity Condition for Unconstrained Systems; 2.3 Decentralised Model Predictive Control and Quadratic Constraint; 2.3.1 Decentralised Model Predictive Control; 2.3.2 Centralised Moving Horizon State Estimation; 2.3.3 Attractivity Condition for Control-Constrained Systems; 2.4 Decentralised MPC with Quadratic Constraint Algorithm; 2.4.1 Procedure; 2.4.2 Determination of the QDC Coefficient Matrices; 2.5 Numerical Simulation; 2.5.1 Illustrative Example 1; 2.5.2 Illustrative Example 2; 2.5.3 Illustrative Example 3
2.6 Concluding Remarks3 Quadratic Constraint for Parallel Splitting Systems; 3.1 System and Control Model; 3.1.1 Serial Connection; 3.1.2 Parallelised Connection; 3.1.3 Global System; 3.2 Parallel Splitting System with a Matrix Annihilation; 3.2.1 Asymptotically Surely Positive Realness Constraint and Attractability Condition; 3.2.2 Decentralised MPC for Parallel Splitting Systems; 3.3 Parallelised Masking Dissipativity Criterion; 3.3.1 Subsystem Control Model; 3.3.2 Unit Control Model; 3.3.3 Global System Control Model; 3.3.4 Subsystem Stand-Alone Control Model
3.3.5 Dissipative and Attractive Conditions3.4 Numerical Examples; 3.4.1 Decentralised MPC Without Control Constraint; 3.4.2 Decentralised MPC with Control Constraint; 3.4.3 Decentralised MPC with Control Constraint and ASPRC; 3.5 Concluding Remarks; 4 Quadratic Constraint for Semi-automatic Control; 4.1 Semi-automatic Control; 4.2 Stabilising Agent Operation; 4.3 Constructive Procedure for Stabilising Agents; 4.3.1 Stabilising Agent Procedure; 4.3.2 Graphical Presentation; 4.4 Stabilising Agent with Output Tracking; 4.4.1 Steady-State-Independent Quadratic Constraint
4.4.2 Convergence Condition with Output Tracking4.4.3 Stabilising Agent with Output-Tracking Algorithm; 4.4.4 Control Algorithm; 4.5 Illustrative Examples; 4.5.1 Illustrative Example 1â#x80;#x94;Power Systems; 4.5.2 Illustrative Example 2â#x80;#x94;Network Process System; 4.6 Concluding Remarks; 5 Quadratic Constraint with Data Losses; 5.1 Introduction; 5.2 System and Networked Control Models; 5.2.1 System Model; 5.2.2 Deterministic Data-Lost Process; 5.3 Dissipative Condition for Networked Control Systems; 5.4 Stability Condition for Networked Control Systems