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Practical stability analysis of sliding‐mode control with explicit computation of sampling time
Author(s) -
Osinenko Pavel,
Devadze Grigory,
Streif Stefan
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2027
Subject(s) - control theory (sociology) , trajectory , generalization , sliding mode control , computation , controller (irrigation) , sampling (signal processing) , stability (learning theory) , mode (computer interface) , computer science , variable structure control , mathematics , control (management) , algorithm , nonlinear system , artificial intelligence , mathematical analysis , physics , filter (signal processing) , astronomy , quantum mechanics , machine learning , agronomy , computer vision , biology , operating system
Sliding‐mode control is a wide‐spread approach to a number of practical problems. The classical stability analyses of sliding‐mode control had to face the difficulty of defining a trajectory of a system whose dynamics are discontinuous in the state variable. Different generalizations of the system trajectory were suggested, such as Filippov solutions. Another generalization is based on the sample‐and‐hold framework, where the system dynamics are in continuous time and the control is changed only at certain discrete times. The current work addresses the sample‐and‐hold stability analysis of sliding‐mode control with special attention to an explicit computation of the required controller sampling time. A computational example is provided.