Advances in Linear Matrix Inequality Methods in Control

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Society for Industrial and Applied Mathematics, 2000 - Mathematics - 372 pages
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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.

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About the author (2000)

Laurent El Ghaoui is a Professor in the Department of Electrical Engineering and Computer Science, the Department of Industrial Engineering and Operations Research, and the Berkeley Center for New Media, at the University of California, Berkeley.

Silviu-Iulian Niculescu is senior researcher at CNRS at the Laboratory of Signals and Systems (L2S), CNRS-Supelec, Gif-sur-Yvette, France. In 2006 he joined the L2S, which he has headed since January 2010. He is the coauthor of more than 400 book chapters, journal papers, and communications in international conferences, has coauthored five books, and is coeditor of six multiauthor volumes.

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