Song, Xiaona; Song, Shuai; Liu, Leipo; Inés, Tejado Balsera Adaptive interval type-2 fuzzy sliding mode control for fractional-order systems based on finite-time scheme. (English) Zbl 1375.93075 J. Intell. Fuzzy Syst. 32, No. 3, 1903-1915 (2017). Summary: In this paper, the adaptive sliding mode control problem of fractional-order nonlinear systems in the presence of model uncertainties and external disturbances is considered. More particularly, an adaptive interval type-2 fuzzy sliding mode controller is designed for achieving finite-time stability of unknown fractional-order nonlinear systems. First, a nonsingular terminal sliding mode surface is designed to reduce chattering and improve the robustness and effectiveness of the controller. Then, the interval type-2 fuzzy logic is used to approximate the unknown parts appearing in the fractional-order nonlinear system model. Following these are augmented by a novel adaptive interval type-2 fuzzy sliding mode controller which can guarantee the stability of the target system in a finite time. In terms of Lyapunov approach, the adaptive laws are designed, meanwhile the proof of the corresponding finite-time property is presented. Finally, three examples are given to illustrate the effectiveness of the proposed strategy. Cited in 2 Documents MSC: 93C42 Fuzzy control/observation systems 93C10 Nonlinear systems in control theory Keywords:sliding mode control; adaptive interval type-2 fuzzy controller; fractional-order systems; finite-time scheme PDFBibTeX XMLCite \textit{X. Song} et al., J. Intell. Fuzzy Syst. 32, No. 3, 1903--1915 (2017; Zbl 1375.93075) Full Text: DOI