Differential linear matrix inequalities : in sampled-data systems filtering and control / Jos ̌C. Geromel.

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Differential linear matrix inequalities : in sampled-data systems filtering and control / Jos ̌C. Geromel.

9783031297540 (electronic bk.)
3031297547 (electronic bk.)
9783031297533
3031297539

Cham : Springer, 2023.

English

1 online resource (xiii, 254 pages) : illustrations (some color)

10.1007/978-3-031-29754-0 doi

QA402.3

515/.642

This book is entirely devoted to sampled-data control systems analysis and design from a new point of view, which has at its core a mathematical tool named Differential Linear Matrix Inequality - DLMI, a natural generalization of Linear Matrix Inequality - LMI, that had an important and deep impact on systems and control theory almost thirty years ago. It lasts until now. It is shown that the DLMI is well adapted to deal with the important class of sampled-data control systems in both theoretical and numerical contexts. All design conditions are expressed by convex programming problems, including when robustness against parameter uncertainty is assessed and imposed through state feedback control. Special attention is given to filter, dynamic output feedback and model predictive control design, as well as nonlinear systems of Lur'e class and Markov jump linear systems. The subject is treated with mathematical rigor, at the same time, trying to keep the reading agreeable and fruitful for colleagues and graduate students. To this respect, the book contains together with the theoretical developments, many solved illustrative examples and the formulation of some open problems that could be faced and hopefully solved by interested readers. Describes a new mathematical tool named differential linear matrix inequality (DLMI) and its applications; Presents and discusses a numerical determination of a solution whenever it exists; Includes coverage of control and filtering design problems involving sampled-data systems.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed June 27, 2023).

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