EAN: 9781447166054

S-VARIABLE APPROACH TO LMI-BASED ROBUST CONTROL...

This book shows how the use of S-variables (SVs) in enhancing the range of problems that can be
addressed with the already-versatile linear matrix inequality (LMI) approach to control can  in
many cases  be put on a more unified  methodical footing. Beginning with the fundamentals of
the SV approach  the text shows how the basic idea can be used for each problem (and when it
should not be employed at all). The specific adaptations of the method necessitated by each
problem are also detailed. The problems dealt with in the book have the common traits that:
analytic closed-form solutions are not available  and LMIs can be applied to produce numerical
solutions with a certain amount of conservatism. Typical examples are robustness analysis of
linear systems affected by parametric uncertainties and the synthesis of a linear controller
satisfying multiple  often conflicting  design specifications. For problems in which LMI
methods produce conservative results  the SV approach is shown to achieve greater accuracy.The
authors emphasize the simplicity and easy comprehensibility of the SV approach and show how it
can be implemented in programs without difficulty so that its power becomes readily apparent.
The S-variable Approach to LMI-based Robust Control is a useful reference for academic control
researchers  applied mathematicians and graduate students interested in LMI methods and convex
optimization and will also be of considerable assistance to practising control engineers faced
with problems of conservatism in their systems and controllers.

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