Analysis and Design of Singular Markovian Jump Systems (PDF)
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This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H8 control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat's Lemma, among other techniques.
Features of the book include:
- study of the stability problem for SMJSs with general transition rate matrices (TRMs);
- stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints;
- mode-dependent and mode-independent H8 control solutions with development of a type of disordered controller;
- observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent;
- consideration of robust H8 filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering
- development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states
Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.
Qingling Zhang received the B.Sc. and M.Sc. degrees from the Mathematics Department and the Ph.D. degree from the Automatic Control Department of Northeastern University, China, in 1982, 1986, and 1995, respectively. Since 1997, he has been a Professor with Northeastern University. He is also a member of the University Teaching Advisory Committee of National Ministry of Education. He has published 16 books and more than 480 papers about control theory and applications. Dr. Zhang received 14 prizes from central and local governments for his research. He has also received the Golden Scholarship from Australia in 2000 and now holds a visiting professor position in the University of Kent awarded by the Royal Academy of Engineering in United Kingdom. His current research interests cover singular systems, networked control systems, stochastic control and robust control.
Xinggang Yan received the B.Sc. and M.Sc. degrees in Shaanxi Normal University and Qufu Normal University respectively, and received the Ph.D degree in Control Engineering from the Automatic Control Department of Northeastern University, China, in 1997. Currently, he is a Lecturer in the School of Engineering and Digitalk Arts in the University of Kent. He is a member of IEEE. He has published more than 100 papers in the area of control theory and applications. His research interest includes nonlinear control, sliding mode control, decentralized control, time delay systems, observer design and fault detection and isolation.
- Autoren: Guoliang Wang , Qingling Zhang , Xinggang Yan
- 2014, 2015, 284 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319087231
- ISBN-13: 9783319087238
- Erscheinungsdatum: 17.07.2014
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- Dateiformat: PDF
- Grösse: 5.92 MB
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“Many practical systems, such as mechanical, electrical, chemical, economic systems can be modeled by singular Markovian Jump systems (SMJSs) having dynamics changing abruptly. … the aim of the monograph is to present the state-of-the-art of SMJSs. … The book can be recommended to readers having good knowledge in analysis, probability theory and stochastic processes.” (Kurt Marti, zbMATH 1317.93002, 2015)
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