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2 CHAPTER 1. INTRODUCTION
Notation Meaning
pdm Xmath parameter dependent matrix data object
Dynamic System Xmath dynamic system data object
Code examples and function names are set in typewriter font to distinguish them from
narrative text.
1.2 Manual Outline
Chapter 2 outlines the applicable robust control theory. Perturbation models and linear
fractional transformations form the basis of the modeling framework. The discussion is
aimed at an introductory level and not all of the subtleties are covered. The theory
continues with an overview of the H
∞
design technique. Again the reader is referred
elsewhere for detail of the theory. The robust control methodology covered here is based
on the analysis of systems with perturbations. This is covered in some detail as such an
understanding is required for effective use of this software. Repeated analysis can be
used to improve upon the synthesis; this takes us from the standard H
∞
design method
to the more sophisticated µ-synthesis techniques.
The translation between the theoretical concepts and the use of the software is made in
Chapter 3. The means of performing typical robust control calculations are discussed in
some detail. This chapter also serves to introduce the Xµ functions. The discussion is
extended to include some of the relevant Xmath functions. A prior reading of Chapter 2
is helpful for putting this material in context.
The best means of getting an idea of the use of the software is to study completed design
examples, given in Chapter 4. These currently includes a design study for an aerospace
application. Typical modeling, analysis, synthesis, and simulation studies are illustrated.
These studies can be used as initial templates for the user’s application.
Chapter 6 is a function reference guide containing a formal description of each function.
This is similar to that given via the on-line help capability. Functions are listed in
relevant groupings at the start of the chapter. This gives an overview of some of the
software capabilities.