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Title
Two-dimensional systems [electronic resource] : from introduction to state of the art / Ebdellah Benzaouia, Abdelaziz Hmamed, Fernando Tadeo.
ISBN
9783319201160 (electronic book)
3319201166 (electronic book)
9783319201153
3319201158
Published
Cham ; s New York : Springer International Publishing, [2016]
Copyright
©2016
Language
English
Description
1 online resource (xxxi, 295 pages).
Item Number
10.1007/978-3-319-20116-0 doi
Call Number
QA402
Dewey Decimal Classification
003
Summary
A solution permitting the stabilization of 2-dimensional (2-D) continuous-time saturated system under state feedback control is presented in this book. The problems of delay and saturation are treated at the same time. The authors obtain novel results on continuous 2-D systems using the unidirectional Lyapunov function. The control synthesis and the saturation and delay conditions are presented as linear matrix inequalities. Illustrative examples are worked through to show the effectiveness of the approach and many comparisons are made with existing results. The second half of the book moves on to consider robust stabilization and filtering of 2-D systems with particular consideration being given to 2-D fuzzy systems. Solutions for the filter-design problems are demonstrated by computer simulation. The text builds up to the development of state feedback control for 2-D Takagi-Sugeno systems with stochastic perturbation. Conservatism is reduced by using slack matrices and the coupling between the Lyapunov matrix and the system matrices is broken by using basis-dependent Lyapunov functions. Mean-square asymptotic stability and prescribed H-infinity performance are guaranteed. Two-Dimensional Systems emphasizes practical approaches to control and filter design under constraints that appear in real problems and uses off-the-shelf software to achieve its results. Researchers interested in control and filter design for multidimensional systems, especially multi-dimensional fuzzy systems, will find this book a useful resource as will graduate students specializing in dynamical sytems.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (viewed October 23, 2015).
Series
Studies in systems, decision and control ; Volume 28. 2198-4182
Available in Other Form
Print version: 9783319201153
Introduction and book preview
1. Introduction to Two Dimensional Systems
2. Stabilization of Saturated Systems
3. Stabilization of Continuous 2-D Delayed Systems
4. Delay-dependent Stabilization of 2-D Delayed Systems with Saturating Control
5. Robust stabilization of 2-D Uncertain Systems
6. Positive Stabilization of 2-D Systems
7. Stabilization of 2-D Takagi-Sugeno Systems with Attenuation of Stochastic Perturbations
8. Robust 2-D H? Filtering
9. Robust H? Filtering for 2-D Delayed Systems
10. Robust H? Filtering of 2-D T-S Fuzzy Systems.
