This is a tutorial on the mathematical theory and process control applications of linear matrix
inequalities (LMIs) and bilinear matrix inequalities (BMIs). Many convex inequalities
common in process control applications are shown to be LMIs. Proofs are included to
familiarize the reader with the mathematics of LMIs and BMIs. LMIs and BMIs are applied to
several important process control applications including control structure selection, robust
controller analysis and design, and optimal design of experiments. Software for solving LMI …