Abstract:
This is a convex relaxation of the mathematical theory of linear matrix
inequalities and bilinear matrix inequalities, which are used in process control. It is
demonstrated that many convex inequalities found in process control applications are
LMIs. Proofs are provided to acquaint the reader with LMI and BMI mathematics.
Applications of LMIs and BMIs in process control include control structure selection,
robust controller analysis and design, and efficient experiment design. Review of LMI and
BMI problem-solving software.
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