About Book

For a manufacturing system, the robustness is defined as its aptitude to preserve its specified properties against foreseen or unforeseen disturbances. The determination of the robustness provides a decision criterion for the calculation of a new control if the margin of passive robustness is violated. Quality control methods ensure that product characteristics are close to target values, with deviations inside maximum tolerances. Such deviations arise from variations in the manufacturing process and from the sensitivity of the product's design to such variations. Robust quality control methods act on the design of products to make them less sensitive to the manufacturing process. They reduce deviations from target values to a minimum and ensure that quality is maintained, even when manufacturing variations are substantial and unpredictable. This book aims to cover a comprehensive study of the recent advances and applications of robust control and manufacturing. It deals with robust vibration control, flexible control system, bilinear systems, robust decoupling estimator and adaptive controller. It also explores robust motion tracking, adaptive robust control, robust guidance scheme and robust control strategies. The aim of this book is to provide the readers with the topics which are crucial and of utmost importance. While understanding the long-term perspectives of the topics, the book makes an effort in highlighting their impact as a modern tool for the growth of the discipline. It will serve as a valuable source of reference for those interested in this field.

Preface............................................................................................................v

Chapter 1 Adaptive Gain Robust Control Strategies for Uncertain Dynamical Systems..........................................................................................................1

Abstract...................................................................................................1

1. Introduction............................................................................................1

2. Synthesis of centralized adaptive gain robust controllers............6

3. Synthesis of decentralized adaptive gain robust controllers......18

4. Conclusions and future works.........................................................30

Acknowledgements.............................................................................32

Chapter 2 Adaptive Robust Guidance Scheme Based on the Sliding Mode Control in an Aircraft Pursuit-Evasion Problem...............................37

Abstract.................................................................................................37

1. Introduction..........................................................................................38

2. Pursuit-evasion game.........................................................................41

3. Guidance scheme design...................................................................43

4. Simulations...........................................................................................46

5. Conclusions..........................................................................................53

Acknowledgements.............................................................................53

Chapter 3 Adaptive Robust Control of Biomass Fuel Co-Combustion Process.........................................................................................................56

Abstract.................................................................................................56

1. Introduction..........................................................................................56

2. Process models and uncertainties....................................................58

3. Robust control of biomass fuel co-combustion.............................62

4. Flame images-based biomass-coal combustion

characterisation....................................................................................64

5. Robust adaptive control of co-combustion process, using optical

signals....................................................................................................69

6. Conclusion............................................................................................74

Chapter 4 A Robust Motion Tracking Control of Piezo-Positioning Mechanism

with Hysteresis Estimation.....................................................................80

1. Introduction..........................................................................................80

2. Model of piezo-positioning mechanism with hysteresis ...........82

3. Lugre hysteresis model for piezo-positioning system ...............83

4. Design controller ................................................................................84

5. Stability analysis ................................................................................86

6. Simulation results ..............................................................................87

7. Conclusion ...........................................................................................94

Chapter 5 A Robust State Feedback Adaptive Controller with Improved

Transient Tracking Error Bounds for Plants with Unknown

Varying Control Gain..............................................................................97

1. Introduction..........................................................................................97

2. Problem statement............................................................................101

3. Control goal ......................................................................................102

4. State transformation based on the state backstepping ............102

5. Control and update laws.................................................................104

6. Boundedness analysis .....................................................................108

7. Convergence analysis.......................................................................111

8. Simulation example..........................................................................112

9. Acknowledgements...........................................................................115

Chapter 6 A Robust Decoupling Estimator to Identify Electrical Parameters

for Three-Phase Permanent Magnet Synchronous Motors .........120

1. Introduction........................................................................................120

2. Model and behavior of a synchronous motor............................122

3. Structure of the decoupling dynamic estimator.........................124

4. Simulation results..............................................................................130

5. Conclusions and future work.........................................................133

Chapter 7 A Sum of Squares Optimization Approach to Robust Control of Bilinear Systems......................................................................................136

1. Introduction........................................................................................136

2. Problem statement............................................................................138

3. Sum of squares..................................................................................145

4. Proposed method..............................................................................147

5. Numerical example...........................................................................150

6. Conclusions........................................................................................153

Chapter 8 A Robust and Flexible Control System to Reduce Environmental Effects of Thermal Power Plants .......................................................154

1. Introduction........................................................................................154

2. Proposed plant control system for reducing environmental

effects .................................................................................................157

3. Adaptive radius adjustment method ...........................................164

4. Automatic reward adjustment method.........................................172

5. Conclusions........................................................................................180

6. Appendix A. Conventional radius adjustment method ...........181

Chapter 9 A Decentralized and Spatial Approach to the Robust Vibration Control of Structures..............................................................................184

1. Introduction........................................................................................184

2. Mechanical structures modeling....................................................187

3. Structural and control models - plate vibration.........................191

4. H∞ control formulation....................................................................194

5. Spatial H∞ control ...........................................................................195

6. Decentralized H∞ control................................................................199

7. Simulated results...............................................................................200

8. Concluding remarks.........................................................................207

Citation......................................................................................................211

Index...........................................................................................................213

About Author

Daniela Roa holds Ph.D. in Production Management from University College, Canberra. She is an expert in modelling and optimization of manufacturing systems, supply chain, lean and agile manufacturing, design of robust production control strategies and quality management system. She serves as an Associate Professor at Community College, Hastings. Roa has written & contributed dozens of articles and research papers on manufacturing process control, supply chain management and logistics systems. She consistently shares her knowledge with the student fraternity by organizing lectures and conferences around the globe.