1Research Scholar, Department of Mathematics, OM Sterling Global University, Hisar, Haryana, India
2Professor, Department of Mathematics, OM Sterling Global University, Hisar, Haryana, India
*Email id: taanishsiwach@gmail.com
Online published on 15 September, 2023.
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.
Convex Relaxation, Quadratic, Bilinear matrix
