Singular systems have been widely studied in the past two decades due to their extensive applications in modelling and control of electrical circuits, power systems, economics and other areas. Interest has grown recently in the stability analysis and control of singular systems with parameter uncertainties due to their frequent presence in dynamic systems, which is much more complicated than that of state-space systems because controllers must be designed so that the closed-loop system is not only robustly stable, but also regular and impulse-free (in the continuous case) or causal (in the discrete case), while the latter two issues do not arise in the state-space case. This monograph aims to present up-to-date research developments and references on robust control and filtering of uncertain singular systems in a unified matrix inequality setting. It provides a coherent approach to studying control and filtering problems as extensions of state-space systems without the commonly used slow-fast decomposition. It contains valuable reference material for researchers wishing to explore the area of singular systems, and its contents are also suitable for a one-semester graduate course.
Reviews / Votes
From the reviews:
"This monograph (xii+234 pages, 215 references, 10 chapters) presents up-to-date research developments and references on robust control and filtering of uncertain singular systems (SSs) in the framework of linear matrix inequality (LMI) techniques. . This is a clearly written book which contains many useful results in the area of robust control and filtering of continuous and discrete SSs. . The book will be useful for both researchers and graduate students in control theory." (M. M. Konstantinov, Mathematical Reviews, Issue 2007 c)
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Professional and scholarly
Research
Illustrations
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Height: 235 mm
Width: 155 mm
Thickness: 14 mm
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978-3-540-32797-4 (9783540327974)
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Schweitzer Classification
Dongsheng Du received the B.Sc. degree in applied mathematics, M.Sc. degree in control theory from Qufu Normal University, Qufu, China, in 2003 and 2006, and the Ph.D. in control theory and engineering from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2012.
From 2008 to 2013, he was a Lecturer with the School of Science, Huaihai Institute of Technology. From 2015, he was an Associate Professor with the Faculty of Automation, Huaiyin Institute of Technology. From November 2016 to November 2017, he was a Visiting Scholar with Centre de Recherche en Informatique, Signal et Automatique de Lille, Polytech'Lille, France. His current research interests include fault diagnosis, fault tolerant control and switched system. Currently, he has published more than 30 papers indexed by SCI and one book in Springer Verlag.
Shengyuan Xu received the B.Sc. degree from Hangzhou Normal University, China, in 1990, the M.Sc. degree from Qufu NormalUniversity, China, in 1996, and the Ph.D. degree from the Nanjing University of Science and Technology, China, 1999. From 1999 to 2000, he was a Research Associate with the Department of Mechanical Engineering, The University of Hong Kong, Hong Kong. From 2000 to 2001, he was a Postdoctoral Researcher with CESAME, University catholique de Louvain, Belgium. From 2001 to 2002, he was a Postdoctoral Researcher with the Department of Electrical and Computer Engineering, University of Alberta, Canada. Since 2002, he has been a Professor with the School of Automation, Nanjing University of Science and Technology. His current research interests include robust filtering and control, singular systems, time-delay systems, neural networks, multidimensional systems and nonlinear systems. He is a member of the Editorial Boards of the Transactions of the Institute of Measurement and Control and the Journal of the Franklin Institute. He was a recipient of the National Excellent Doctoral DissertationAward from the Ministry of Education of China in 2002. He received a grant from the National Science Foundation for Distinguished Young Scholars of China in 2006 and a Cheung Kong Professorship from the Ministry of Education of China in 2008.
Vincent Cocquempot was born in France, in 1966. He received the Ph.D. degree in automatic control from the Lille University of Sciences and Technologies, France, in 1993. He is currently a Professor in automatic control and computer science with the IUTA (Technological Institute), Lille University, and a Researcher with CRIStAL UMR CNRS 9189 (Research Center in Computer Science, Signal and Automatic Control of Lille), University of Lille, France. His research interests include robust on-line fault diagnosis for uncertain dynamical nonlinear systems, fault detection and isolation, and fault tolerant control for hybrid dynamical systems.
Introduction and Preview.- Stability.- Stabilization.- Robust Control.- H1 Control.- Guaranteed Cost Control.- Positive Real Control.- H1 Filtering.- Delay Systems.- Markovian Jump Systems.
