Authors:
- Offers a wide range of control problems successfully solved within the framework of the SMC theory
- Includes a selection of reduced-order differential equations with desired solutions
- Shows the potential and advantages of the developed control methods and outlines areas of efficient application
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (12 chapters)
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Front Matter
About this book
This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those motions, and the existence conditions. Subsequent chapters discusses various areas of further research. The book reflects the consensus view of the authors regarding the current status of SMC theory. It is addressed to a broad spectrum of engineers and theoreticians working in diverse areas of control theory and applications. It is well suited for use in graduate and postgraduate courses in such university programs as Electrical Engineering, Control of Nonlinear Systems, and Mechanical Engineering.
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Authors and Affiliations
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Ohio State University, Columbus, USA
Vadim Utkin
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Control Automatico Dpto, Cinvestav-Inst Politécnico Nacional, Mexico, Mexico
Alex Poznyak
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Electronics and Telecommunications, CICESE Research Center, Ensenada, Mexico
Yury V. Orlov
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NON-A team of Inria in Lille, Inria Lille-Nord Europe, Villeneuve-d’Ascq, France
Andrey Polyakov
About the authors
Alexander Poznyak graduated from Moscow Physical Technical Institute (MPhTI) in 1970. He earned PhD and Doctor of Science degrees from the Institute of Control Sciences of the Russian Academy of Sciences in 1978 and 1989, respectively. From 1973 to 1993 he served first as a researcher and then as leading researcher at this institute, before accepting a post as full professor (3-F) at the Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN) in Mexico, where for 8 years he was head of the Automatic Control Department. He has been the supervisor for 43 PhD theses. He has published more than 240 papers in different international journals and 14 books. His areas of interest are robust nonlinear deterministic and stochastic control, identification theory, Markov processes, and game theory with economics applications.
Yury Orlov is a Professor in the Electronics and Telecommunication Department, Scientific Research and Advanced Studies Center of Ensenada, Mexico. His research interests lie in the analysis and synthesis of discontinuous as well as time delay and distributed parameter systems. He has authored or co-authored about 250 journal and conference papers in the above areas as well as five monographs. He is an Associate Editor of IEEE Transactions on Control Systems Technology, of the International Journal of Robust and Nonlinear Control, and of the IMA Journal of Mathematical Control and Information.
Andrey Polyakov received his PhD in Systems Analysis and Control from Voronezh State University in 2005. Until 2010 he was an Associate Professor with this university. In 2007–8, Dr. Polyakov worked at CINVESTAV-PIN in Mexico. From 2010 to 2013 he was a lead researcher of the Institute of Control Sciences of the Russian Academy of Sciences, and he then joined INRIA, Lille, France. His main research interests include robust and nonlinear control. He has authored or co-authored more than 150 papers.
Bibliographic Information
Book Title: Road Map for Sliding Mode Control Design
Authors: Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-41709-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-41708-6Published: 14 April 2020
eBook ISBN: 978-3-030-41709-3Published: 13 April 2020
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIV, 127
Number of Illustrations: 15 b/w illustrations, 20 illustrations in colour
Topics: Systems Theory, Control, Computational Science and Engineering, Computer Engineering, Electronic Circuits and Devices