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S-Variable Approach to LMI-Based Robust Control (Hardcover, 2015 ed.)
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S-Variable Approach to LMI-Based Robust Control (Hardcover, 2015 ed.)
Series: Communications and Control Engineering
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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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