Event‐triggered integral sliding mode control for fractional order T‐S fuzzy systems via a fuzzy error function. (22nd January 2021)

• Record Type: Journal Article
• Authors: Fan, Xiaofei; Wang, Zhanshan
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 7(2021)
• Page Start: 2491
• Page End: 2508
• Publication Date: 2021-01-22
• Subjects: event‐triggered control -- fractional order T‐S fuzzy systems -- fuzzy error function -- integral sliding mode control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5400
• Languages: English
• ISSNs: 1049-8923

Abstract

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.