Active Control of Flexible Structures: From Modeling to Implementation / Edition 1 available in Hardcover
Active Control of Flexible Structures: From Modeling to Implementation / Edition 1
- ISBN-10:
- 1849962804
- ISBN-13:
- 9781849962803
- Pub. Date:
- 08/02/2010
- Publisher:
- Springer London
- ISBN-10:
- 1849962804
- ISBN-13:
- 9781849962803
- Pub. Date:
- 08/02/2010
- Publisher:
- Springer London
Active Control of Flexible Structures: From Modeling to Implementation / Edition 1
Hardcover
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$109.99Overview
Product Details
ISBN-13: | 9781849962803 |
---|---|
Publisher: | Springer London |
Publication date: | 08/02/2010 |
Series: | Advances in Industrial Control |
Edition description: | 2010 |
Pages: | 197 |
Product dimensions: | 6.30(w) x 9.20(h) x 0.70(d) |
About the Author
Table of Contents
1 Introduction 1
2 Modelling of Flexible Structures 7
2.1 Introduction 7
2.2 Preliminary Definitions 8
2.3 The Boundary Value Problem 9
2.3.1 Uniform String 13
2.3.2 Uniform Cantilever Beam 15
2.4 Approximate Finite-dimensional Models 17
2.4.1 Damped Elastic Structures 20
2.4.2 Finite-dimensional Systems 22
2.5 Conclusions 27
References 27
3 Identification of Flexible Structures 29
3.1 Introduction 29
3.2 Basics of Subspace-based Identification 31
3.2.1 Time Domain Approach 32
3.2.2 Frequency Domain Approach 34
3.3 Identification Problem for a Flexible Structure 38
3.4 Identification Procedure 40
3.4.1 First Stage 40
3.4.2 Second Stage 41
3.4.3 Identification Procedure with Non-colocated Measurements 45
3.5 Application to Experimental Modal Analysis 46
3.6 Illustrative Examples 48
3 6.1 Identification of a Model for Control 48
3.6.2 Identification for Experimental Modal Analysis 51
3.7 Conclusions 53
References 53
4 Modal Feedback Control of Flexible Structures 55
4.1 Introduction 55
4.2 Spillover Problem 58
4.3 Internal Model Control 61
4.3.1 Basic Approach 62
4.3.2 Adaptive Approach 63
4.4 Modal Control 67
4.4.1 Case Study: State Feedback 72
4.4.2 State Observer 74
4.5 Conclusions 76
References 77
5 Optimal Feedback Control of Flexible Structures 79
5.1 Introduction 79
5.2 Control Model 81
5.3 Choice of the Disturbance Matrix 84
5.4 Bandpass Controllers 84
5.5 H∞ Controller Design 86
5.6 H2 Controller Design 91
5.7 Numerical Example 92
5.8 Further Considerations on the H2 Controller 94
5.9 Optimal Scaling Matrix Selection 98
5.9.1 Formulation of the Optimsation Problem 98
5.9.2 Scaling Matrix Selection Example 101
5.10 Seleclion of Individual Modes 104
5.10.1 Mode Selection and Non-colocated Feedback Example 108
5.10.2 Computing the Gramians 113
5.11 Conclusions 120
References 121
6 Implementation Issues 123
6.1 Introduction 123
6.2 Conventional Actuators 124
6.3 Smart Material-based Devices 126
6.3.1 Piezoelectric Ceramics 127
6.3.2 Magnetostrictive Materials 128
6.4 Effects of Hysteresis 129
6.4.1 Hysteresis Modelling 130
6.4.2 Hysteresis Compensation: Methodology 132
6.4.3 Hysteresis Compensation: Experimental Results 133
6.5 A Smart Auxiliary Mass Damper 134
6.5.1 Actuator Description and Modelling 136
6.5.2 The Optical Sensor 139
6.5.3 The Control System 141
6.5.4 Experimental Results of Actuator Control 143
6.6 Self-sensing Control 144
6.7 The dSPACE Platform for Rapid Control Prototyping 146
6.7.1 Processor Boards 147
6.7.2 I/O Boards 148
6.7.3 Software Development Environment 148
6.8 Conclusions 149
References 150
7 Experimental Results 153
7.1 Introduction 153
7.2 Identification of the Dynamic Model of the Panel 155
7.3 Active Control of Vibrations with Piezo Actuators 163
7.3.1 Analytically Designed Controllers 166
7.3.2 Numerically Designed Controller Using LMI 168
7.4 Active Vibration Control with a Smart Auxiliary Mass Damper 176
7.5 Conclusions 180
References 181
8 Conclusions and Future Developments 183
8.1 Conclusions 183
8.2 Future Developments 185
Appendix Dynamic Model of the Aeronautical Panel 187
Index 195