Differential Linear Matrix Inequalities : In Sampled-Data Systems Filtering and Control
2023 ed.
by
Roland Pach
Book Details
Format
Paperback / Softback
ISBN-10
3031297563
ISBN-13
9783031297564
Edition
2023 ed.
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 22nd, 2024
Print length
254 Pages
Product Classification:
Maths for engineersMechanical engineeringAutomatic control engineering
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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 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.
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