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Event‐triggered integral sliding mode control for fractional order T‐S fuzzy systems via a fuzzy error function
Author(s) -
Fan Xiaofei,
Wang Zhanshan
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5400
Subject(s) - control theory (sociology) , fuzzy logic , function (biology) , mathematics , stability (learning theory) , power (physics) , mode (computer interface) , error function , power function , fuzzy control system , computer science , control (management) , algorithm , physics , mathematical analysis , artificial intelligence , quantum mechanics , evolutionary biology , machine learning , biology , operating system
Abstract This article considers the event‐triggered integral sliding mode control problem for fractional order T‐S fuzzy systems. A fuzzy error function and a mixed triggering threshold are proposed to design the event‐triggering mechanism, in which the fuzzy error function is used to design the triggering function. The mixed triggering threshold is composed of the time‐varying threshold with power function and the fixed one. Based on the proposed fuzzy error function, the boundedness of sliding variable errors can be guaranteed by using the time‐varying threshold with power function. Meanwhile, the fixed threshold is used to adjust the value of mixed triggering threshold near the initial time. Furthermore, a sufficient condition on the asymptotical stability for sliding motion is established and a positive internal execution time can be ensured. At last, two simulation examples are presented to illustrate the effectiveness of obtained theoretical results.