Multivariable control system design based on relative interaction energy

Abstract

Table of Contents ii Summary iv List of Figures vi List of Tables viii Chapter 1 1 Introduction 1 1.1. Motivations 1 1.2. Objectives 2 1.3. Major contributions of the thesis 2 1.4. Organization of the thesis 3 Chapter 2 Literature Review 2.1. Introduction 5 2.2. Preliminaries 2.3. Interaction analysis and loop pairing 2.3.1. RGA based loop paring 12 2.3.2. RIA based loop paring 2.3.3. Dynamic RGA (DRGA) based loop paring 2.3.4. GRDG based loop paring 2.3.5. SSV based loop paring 2.4. Multi-loop controller design 2.4.1. Detuning methods 2.4.2. Sequential loop closing methods 2.4.3. Independent design methods 2.4.4. Simultaneous equation solving methods 2.5. Decoupling controller design 2.5.1. Ideal/dynamic decoupling methods 2.5.2. Static decoupling methods 39 2.5.3. Partial/block decoupling methods References 43 Chapter 3 49 Interaction Analysis and Loop Pairing for Multivariate Processes 49 3.1. Introduction 49 3.2. Preliminaries 51 3.3. A modified loop pairing rule 52 3.4. Case studies 58 3.5. Conclusions 61 References 61 Chapter 4 63 Decentralized Control System Design 63