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Über dieses Buch

Robust Modal Control covers most classical multivariable modal control design techniques that were shown to be effective in practice, and in addition proposes several new tools. The proposed new tools include: minimum energy eigenvector selection, low order observer-based control design, conversion to observer-based controllers, a new multimodel design technique, and modal analysis. The text is accompanied by a CD-ROM containing MATLAB® software for the implementation of the proposed techniques. The software is in use in aeronautical industry and has proven to be effective and functional.
For more detail, please visit the author's webpage at http://www.cert.fr/dcsd/idco/perso/Magni/booksandtb.html

Inhaltsverzeichnis

Frontmatter

Introduction

Abstract
Robust control theory has received much attention in the past decades. The most popular approaches are based on frequency domain analysis and design. Early work in this field can be found in [Rosenbrok, 1974], or [Horowitz, 1991]. The most representative modern frequency domain techniques are Loop Transfer Recovery [Doyle and Stein, 1979, Ma­ciejowski, 1989],H-synthesis [Doyle et al., 1989, McFarlane and Glover, 1990], µ-synthesis [Zhou and Doyle, 1999] and their LMI-based (Linear Matrix Inequality) extensions. Unfortunately, these techniques are not very efficient for problems with respect to real pa­rameter variations. Alternative techniques which are involving robustness more appropriate for dealing with real uncertainties have also been considered, for exam­ple: quadratic stability [Garcia et al., 1997, Khargonekar et al., 1990], adaptation of µ-synthesis [Young, 1996] value set and parameter space techniques [Barmish, 1994, Ackermann, 1993] and so on. But for various reasons (such as: conservatism — special requirements relative to the de­pendency on uncertainties — limitations on the number of uncertainties — very large controller orders) these techniques do not really solve the general problem. As we shall see in this book, multi-model control design based on modal approaches, despite some more or less heuristic features, is very efficient, especially in the case of real uncertainties.
Jean-François Magni

Outline

Abstract
This chapter gives an overview of basic theory for eigenstructure assignment. Proofs are not given.
Jean-François Magni

Chapter 1. Modal Control: A Tutorial

Without Abstract
Jean-François Magni

Chapter 2. Some Control Design Problems

Abstract
This section summarizes recommendations and gives some general guidelines for modal control design. It is also useful for diagnosis in case of problems.
Jean-François Magni

Chapter 3. Toolbox Reference

Without Abstract
Jean-François Magni

Chapter 4. Appendix 1: Proofs of the Results Stated in the First Chapter

Abstract
It is assumed in this book that, any time non-real eigenvalues and eigenvectors are assigned, the corresponding complex conjugate eigenval­ues and eigenvectors are also assigned. It is also assumed that assigned eigenvalues are never repeated.
Jean-François Magni

Chapter 5. Appendix 2: Additional Topics

Abstract
The following models are considered for demonstration
  • simplified lateral model of a flexible aircraft.
  • A bank of longitudinal and lateral linearized models of the RCAM (Research Civil Aircraft Model, [Magni et al., 1997b]).
Jean-François Magni

Conclusion

Abstract
A selection of modal control design techniques were presented including some original contributions ,as eigenvector selection, observer design and dynamic feedforward design.
Jean-François Magni

Backmatter

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