TABLE OF CONTENTS

p5

Title page

p1

Acknowledgements

p2

Abstract

p3

Table of Contents

p5

1.Introduction

1-1

1.1 Literature Review

1-1

1.2 Objectives and Scope of Study

1-3

2.Mathematical Basis of Optimal Control

2-1

2.1 Formulation of Optimal Control Problem

2-1

2.2 Solution of Optimal Control Problem

2-3

3.Development of New Optimal Control Method for a SDOF System

3-1

3.1 Formulation of New Optimal Control Problem

3-1

3.2 Undamped SDOF System

3-2

3.3 Damped SDOF System

3-9

4.Application of the New Optimal Control Method to a SDOF System Controlled by a First-order Time-lag Actuator

4-1

4.1 Formulation and Derivation

4-1

4.2 A SDOF System-Actuator Interaction Analysis

4-4

4.3 Numerical Examples

4-9

5.Application to a 2-DOF System Controlled by two First-order Time-lag Actuators

5-1

5.1 Formulation and Derivation

5-1

5.2 Numerical Examples

5-3

6.Application to an Active Mass Damper System

6-1

6.1 General

6-1

6.2 Formulation and Derivation

6-1

6.3 Numerical Examples

6-3

7.Effect of Total Time Delay to the Performance of the New Optimal Control Method

7-1

7.1 General

7-1

7.2 Development of Algorithm for Time Delay

7-1

7.3 Numerical Examples

7-3

8.Experimental Set-up

8-1

8.1 General

8-1

8.2 Structural Model:Design and Realization

8-1

8.3 Shaking Table

8-2

8.4 Sensors

8-2

8.5 Actuator:DC Linear Induction Motor

8-4

8.6 A/D and D/A Converters/8-5

9 Active Vibration Control Experiments

9-1

9.1 Natural Frequency and Damping Ratio Identification

9-1

9.2 Active Free-Vibration Control

9-1

9.3 Active Forced-Vibration Control

9-2

9.4 Discussion on Experimental Results of Active Free-Vibration Control Tests

9-3

10.Conclusions and Suggestions for Further Study

10-1

Appendix

A-1

References

R-1

Tables

T-1

Figures

F-1