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© 2020

Road Map for Sliding Mode Control Design

Book

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 1-5
  3. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 7-27
  4. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 29-48
  5. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 49-59
  6. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 61-71
  7. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 73-82
  8. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 83-89
  9. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 91-97
  10. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 99-108
  11. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 109-114
  12. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 115-124
  13. Vadim Utkin, Alex Poznyak, Yury V. Orlov, Andrey Polyakov
    Pages 125-127

About this book

Introduction

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.


Keywords

Sliding Mode Control Uncertain models Finite dimensional systems Infinite Finite dimensional systems Adaptive and Stochastics SMC

Authors and affiliations

  1. 1.Ohio State UniversityColumbusUSA
  2. 2.Control Automatico DptoCinvestav-Inst Politécnico NacionalMexicoMexico
  3. 3.Electronics and TelecommunicationsCICESE Research CenterEnsenadaMexico
  4. 4.NON-A team of Inria in LilleInria Lille-Nord EuropeVilleneuve-d’AscqFrance

About the authors

Vadim Utkin graduated from Moscow Power Institute (Dipl. Eng.) and received PhD and Doctor of Science degrees from the Institute of Control Sciences (Moscow, Russia). He worked at the Institute of Control Sciences from 1960 to 1994, and in 1973 was appointed as Head of the Discontinuous Control Systems Laboratory. Currently he is a professor at Ohio State University. Professor Utkin is one of the originators of the concepts of variable structure systems and sliding mode control. His application interests are control of power converters and electric drives, robotics, and automotive control. He is the author or co-author of five books and 350 papers.

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

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