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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Advances in Linear Matrix Inequality Methods in Control (Paperback)
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Advances in Linear Matrix Inequality Methods in Control (Paperback)
Series: Advances in Design and Control, No. 2
Expected to ship within 12 - 17 working days
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Linear matrix inequalities (LMIs) have recently emerged as useful
tools for solving a number of control problems. This book provides
an up-to-date account of the LMI method and covers topics such as
recent LMI algorithms, analysis and synthesis issues, nonconvex
problems, and applications. It also emphasizes applications of the
method to areas other than control. The basic idea of the LMI
method in control is to approximate a given control problem via an
optimization problem with linear objective and so-called LMI
constraints. The LMI method leads to an efficient numerical
solution and is particularly suited to problems with uncertain data
and multiple (possibly conflicting) specifications. Since the early
1990s, with the development of interior-point methods for solving
LMI problems, the LMI approach has gained increased interest. One
advantage of this technique is its ability to treat large classes
of control problems via efficient numerical tools. This approach is
widely applicable, not only in control but also in other areas
where uncertainty arises. LMI techniques provide a common language
for many engineering problems. Notions now popular in control, such
as uncertainty and robustness, are being used in other areas
through the use of LMIs. This technique is particularly attractive
for industrial applications. It is well suited for the development
of CAD tools that help engineers solve analysis and synthesis
problems.
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