The sliding mode control approach is recognized as one of the efficient tools to design robust controllers for complex high-order nonlinear dynamic plant operating under uncertainty conditions. The research in this area were initiated in the former Soviet Union about 40 years ago, and then the sliding mode control methodology has been receiving much more attention from the international control community within the last two decades.
The major advantage of sliding mode is low sensitivity to plant parameter variations and disturbances which eliminates the necessity of exact modeling. Sliding mode control enables the decoupling of the overall system motion into independent partial components of lower dimension and, as a result, reduces the complexity of feedback design. Sliding mode control implies that control actions are discontinuous state functions which may easily be implemented by conventional power converters with “on-off” as the only admissible operation mode. Due to these properties the intensity of the research at many scientific centers of industry and universities is maintained at high level, and sliding mode control has been proved to be applicable to a wide range of problems in robotics, electric drives and generators, process control, vehicle and motion control.
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Books (in English)
V. Utkin, Sliding Modes and their Applications in Variable Structure Systems, Mir Publ., Moscow (Translation of the book published by Nauka, Moscow, 1974 in Russian), 1978 [This book presents the first results on MIMO sliding mode control systems].
U. Itkis, Control Systems of Variable Structure, Wiley, New York, 1976 [This book deals with SISO control systems in canonical form].
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Deterministic Non-Linear Control, A.S. Zinober, Ed., Peter Peregrinus Limited, UK, 1990 [The book is written by the author team and covers different control methods, including sliding mode control for non-linear dynamic plants operating under uncertainty conditions].
Variable Structure Control for Robotics and Aerospace Application, K-K.D. Young, Ed., Elsevier Science Publishers B.V., Amsterdam, 1993 [Applications of sliding mode control for electric drives, pulse-with modulators, manipulator, flexible mechanical structures, magnetic suspension, flight dynamics are studied in the book].
Variable Structure and Lyapunov Control, A.S. Zinober, Ed., Springer Verlag, London, 1993 [The book is prepared based on the results of VSS’ 1992 workshop held in Sheffield, UK].
V. Utkin, Sliding Modes in Control and Optimization, Springer Verlag, Berlin, 1992 [The book includes mathematical, design and application aspects of sliding mode control].
Variable Structure Systems, Sliding Mode and Nonlinear Control, K.D. Young and U. Ozguner (Eds), Springer Verlag, 1999 [The book is prepared based on the results of VSS’1998 workshop held in Longboat Key, Florida, USA].
C. Edwards and S. Spurgeon, Sliding Mode Control: Theory and Applications, Taylor and Francis, London, 1999 [The conventional theory is presented along with new methods of control and observation and new application areas].
V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electro-Mechanical Systems, Taylor and Francis, London, 1999 [Theoretical design methods are presented in the context of applications for control of electric drives, alternators, vehicle motion, manipulators and mobile robots].
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V. Utkin. Sliding Mode Control, Section 6.43.21.14, Chap. 6.43 “Control, Robotics and Automation”, Encyclopedia, EOLSS Publisher Co Ltd, 2003 [Survey of Sliding Mode Control Analysis and Design Methods].
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Utkin, V.I. (2008). Sliding Mode Control: Mathematical Tools, Design and Applications. In: Nistri, P., Stefani, G. (eds) Nonlinear and Optimal Control Theory. Lecture Notes in Mathematics, vol 1932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77653-6_5
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