I=
Pakistan Research Repository Home
 

Title of Thesis

Multiobjective Optimization Control Synthesis for MIMO Systems

Author(s)

Jawed Akhtar Bhutto

Institute/University/Department Details
Department of Electrical Engineering / National University of Science & Technology, Rawalpindi
Session
2009
Subject
Electrical Engineering
Number of Pages
210
Keywords (Extracted from title, table of contents and abstract of thesis)
Multiobjective, Optimization, Control, Synthesis, MIMO, Systems, semidefinite, problems, Numerical, methodology

Abstract
This dissertation presents a methodology to address the problem of composite measure for multiobjective optimal performance of multi-input multi-output (MIMO) systems. This technique solves the 1 l norm, H2 norm, H norm and time domain characteristic constraints problems of MIMO systems simultaneously. We will show here that resulted problem always admits an optimal solution or a suboptimal solution with performance arbitrarily close to the optimal cost. This can be obtained by constructing two sequences of finite dimensional semidefinite problems (SDP), whose objective values converge to the optimum from below and above. On the application of this synthesis technique, different types of multiple-input and multiple-output problems can be solved and we can get desired optimal multiobjective performance of conflicting nature. Numerical examples are presented to illustrate the effectiveness of proposed methodology.

Download Full Thesis
1,011 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 CONTENTS

 

vi
201 KB
2

1

SYSTEM FRAMEWORK THEORY

1.1 Introduction

1.2 Goals of Controller Design
1.3 Linear Fractional Transformation Framework
1.4 Transfer Matrix Representation
1.5 Some Standard Framework
1.6 State Space Formulation
1.7 Parameterization of Controller Paradigm
1.8 The modified Controller Paradigm
1.9 Summary

1
329 KB
3 2 NORMS OF SIGNALS AND SYSTEMS

2.1 Introduction

2.2 Definition of Norm
2.3 Common Norm of Vector Signals

2.4 Norms of Systems

2.5 Norms of LTI Systems

2.6 Summary

22
368 KB
4 3 THEORY OF SEMI DEFINITENESS AND CONVEX OPTIMIZATION

3.1 Introduction

3.2 Research in Semi Definiteness and Convex Optimization

3.3 Design Specifications as Sets
3.4 Convexity
3.5 Definition of Convex Functions
3.6 Operations that Preserve Convexity
3.7 Basic Terminology for Optimization Problems
3.8 Expressing Problems in Standard Form
3.9 Optimization Problems
3.10 Semidefinite Programming
3.11 Vector Optimization
3.12 Certificate of Sub-optimality and Stopping Criteria
3.13 Summary

37
423 KB
5 4 MULTIOBJECTIVE CONTROL SYNTHESIS SETUP

4.1 Introduction

4.2 Plant Description
4.3 Discretization and Minimal Realization
4.4 Youla Parameterization
4.5 Performance Calculations
4.6 Summary

78
419 KB
6 5 MULTIOBJECTIVE OPTIMIZATION PROBLEM (MOP) CONTROL SYNTHESIS

5.1 Introduction

5.2 Multiobjective Problem Setup
5.3 Problem Solution
5.4 Numerical Realization on Matlab
5.5 How to use Synthesis Code
5.6 Example
5.7 Summary

102
422 KB
7 6 SATELLITE LAUNCHING VEHICLE: AN APPLICATION

6.1 Introduction

6.2 A Multiobjective Optimal Control Synthesis for Launching Vehicle
6.3 Model of the Launcher and Desired Objectives
6.4 Structure of Closed Loop System
6.5 Mixed objective and Performance Specifications
6.6 Result
6.7 Summary

127
331 KB
8 7 CONCLUSIONS 141
277 KB
9 8 REFERENCES & APPENDICES

148


265 KB