Overview

The loop-shaping approach consists of obtaining a specification in relation to the open loop of the control from specifications regarding various closed loop transfers, because it is easier to work on a single transfer (in addition to the open loop) than on a multitude of transfers (various loopings such as set point/error, disturbance/error, disturbance/control, etc.). The simplicity and flexibility of the approach make it very well adapted to the industrial context. This book presents the loop-shaping approach in its entirety, starting with the declension of high-level specifications into a loop-shaping specification. It then shows how it is possible to fully integrate this approach for the calculation of robust and efficient correctors with the help of existing techniques, which have already been industrially tried and tested, such as H-infinity synthesis. The concept of a gap metric (or distance between models) is also presented along with its connection with the prime factors of a set of systems shaping a ball of models, as well as its connections with robust synthesis by loop-shaping, in order to calculate efficient and robust correctors. As H-infinity loop-shaping is often demanding in terms of the order of correctors, the author also looks at loop-shaping synthesis under an ordering constraint. Two further promising lines of research are presented, one using stochastic optimization, and the other non-smooth optimization. Finally, the book introduces the concept of correction with two degrees of freedom via the formalism of prime factorization. Avenues for future work are also opened up by the author as he discusses the main drawbacks to loop-shaping synthesis, and how these issues can be solved using modern optimization techniques in an increasingly competitive industrial context, in accordance with ever more complex sets of functional specifications, associated with increasingly broad conditions of usage.

Full Product Details

Author:   Philippe Feyel (Sagem Défense Sécurité - SAFRAN, Paris, France)
Publisher:   ISTE Ltd and John Wiley & Sons Inc
Imprint:   ISTE Ltd and John Wiley & Sons Inc
Dimensions:   Width: 16.30cm , Height: 2.00cm , Length: 24.10cm
Weight:   0.562kg
ISBN:  

9781848214651

ISBN 10:   1848214650
Pages:   288
Publication Date:   14 May 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Introduction ix Chapter 1 The Loop-shaping Approach 1 1.1 Principle of the method 1 1.2 Generalized phase and gain margins 14 1.3 Limitations inherent to bandwidth 17 1.4 Examples 18 1.5 Conclusion 30 Chapter 2 Loop-shaping H∞ Synthesis 33 2.1 The formalism of coprime factorizations 33 2.2 Robustness of normalized coprime factor plant descriptions 42 2.3 Explicit solution of the problem of robust stabilization of coprime factor plant descriptions 54 2.4 Robustness and υ-gap 77 2.5 Loop-shaping synthesis approach 82 2.6 Discrete approach 120 Chapter 3 Two Degrees-of-Freedom Controllers 135 31 Principle 135 3.2 Two-step approach 143 3.3 One-step approach 156 3.4 Comparison of the two approaches 165 3.5 Example 166 3.6 Compensation for a measurable disturbance at the model’s output 174 Chapter 4 Extensions and Optimizations 187 4.1 Introduction 187 4.2 Fixed-order synthesis 188 4.4 Towards a new approach to loop-shaping fixed-order controller synthesis, etc 242                                APPENDICES 245 Appendix 1 247 Appendix 2 251 Bibliography 255 Index 259

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Author Information

Philippe Feyel is research and development engineer at Sagem Defense and Security, Paris, France.

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