A fuzzy integral sliding-mode parallel control approach for nonlinear descriptor systems

This paper considers the stabilization problem of nonlinear descriptor systems through Takagi-Sugeno (T-S) fuzzy models of type 1. A novel fuzzy integral sliding mode parallel control strategy is proposed, where the T-S fuzzy model is employed to equivalently approximate any nonlinear descriptor system. A fuzzy sliding-mode parallel controller is constructed to robustly control the T-S fuzzy model and, consequently, to semi-globally stabilize the corresponding nonlinear descriptor system. The developed control scheme can remove a restrictive assumption on the system input channel and is applicable to gen-eral nonlinear descriptor systems. Moreover, universality discussion of the developed con-troller for two kinds of nonlinear descriptor systems is provided, which endows the proposed method with more confidence in real industrial applications. Finally, two exam-ples numerically demonstrate the feasibility and advantages of the developed controller.(c) 2022 Elsevier Inc. All rights reserved.