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)
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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].
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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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