Overview
- Results can be applied to practical problems using readily available linear-matrix-inequality toolboxes
- Enriches understanding of new work in multidimensional systems theory
- Worked examples in each chapter validate the methods described
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 28)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
Abdelaziz Hmamed was born in Sefrou, Morocco, in 1951. He received his Doctorate of State degree in Electrical Engineering from the Faculty of Sciences, Rabat, Morocco, in 1985. Since 1986, he has been with the Department of Physics, Faculty of Sciences, Dhar El Mehraz at Fes, where he is currently a Full Professor. His research interests are delay systems, stability theory, systems with constraints, 2-d systems and applications.
Fernando Tadeo is Professor of the School of Engineering at the University of Valladolid. He graduated from the same university, in Physics in 1992, and in Electronic Engineering in 1994. After completing an M.Sc. in Control Engineering in the University of Bradford, U.K., he went back to Valladolid, where he got his Ph.D. degree. His main interest area is Feedback Systems with Constraints, in particular Positive Systems, collaborating with teams in Morocco, Tunisia, France and Germany. This research is focused on applications in Process Control (Desalination and Electrolyzation Processes) and Renewable Energies (Wind, Solar and Salinity Gradient).
Bibliographic Information
Book Title: Two-Dimensional Systems
Book Subtitle: From Introduction to State of the Art
Authors: Abdellah Benzaouia, Abdelaziz Hmamed, Fernando Tadeo
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-20116-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2016
Hardcover ISBN: 978-3-319-20115-3Published: 29 October 2015
Softcover ISBN: 978-3-319-36915-0Published: 23 August 2016
eBook ISBN: 978-3-319-20116-0Published: 16 October 2015
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XXXI, 295
Topics: Control and Systems Theory, Computational Intelligence, Artificial Intelligence, Signal, Image and Speech Processing