Actuator fault tolerance based on continuous‐time fuzzy singularly perturbed model. Issue 3 (20th July 2022)

• Record Type: Journal Article
• Authors: He, Chunxiao; Li, Xisheng; Chen, Jinxiang
• Is Part Of: Asian journal of control. Volume 25:Issue 3(2023)
• Page Start: 2048
• Page End: 2059
• Publication Date: 2022-07-20
• Subjects: actuator failure -- fault toleration -- fuzzy singular perturbation model -- LMIs -- NSPSs -- H∞$$ {H}_{\infty } $$; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2917
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: Actuator fault tolerance based on fuzzy singularly perturbed model (FSPM) for nonlinear singularly perturbed systems (NSPSs) is investigated. A continuous‐time FSPM with subtractive faults on control input is presented to describe NSPSs with actuator faults, which is less conservative than slow–fast submodel methods. A hybrid fuzzy controller (HFC) consisting of a fuzzy detector and a fault‐tolerant controller can realize real‐time fault tolerance, such that the target system with actuator faults is stabilized. The theorem to solve controller gains is derived by using Lyapunov, singular perturbation, H ∞ $$ {H}_{\infty } $$, and Schur complement theories, which can avoid the problem that the feasible solutions cannot be obtained by solving linear matrix inequalities (LMIs). A nonlinear item was replaced by a linear item, which provides a good idea for solving nonlinear matrix inequalities. The sudden and remittent actuator faults of a motor system are suppressed by using the above approaches.