Adaptive Fuzzy Output-Feedback Decentralized Control for Fractional-Order Nonlinear Large-Scale Systems

• Published in: IEEE transactions on cybernetics Vol. 52; no. 12; pp. 12795 - 12804
• Main Authors: Zhan, Yongliang, Tong, Shaocheng
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.12.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive algorithms; Adaptive backstepping control design; Adaptive control; adaptive fuzzy decentralized control; Adaptive systems; Backstepping; Control theory; Decentralized control; fractional-order nonlinear large-scale systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Large-scale systems; Liapunov functions; Nonlinear control; Nonlinear systems; Observers; Output feedback; stability analysis; State observers; Subsystems
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2021.3088994

This article studies the adaptive fuzzy output-feedback decentralized control problem for the fractional-order nonlinear large-scale systems. Since the considered strict-feedback systems contain unknown nonlinear functions and unmeasurable states, the fuzzy-logic systems (FLSs) are used to model unknown fractional-order subsystems, and a fuzzy decentralized state observer is established to obtain the unavailable states. By introducing the dynamic surface control (DSC) design technique into the adaptive backstepping control algorithm and constructing the fractional-order Lyapunov functions, an adaptive fuzzy output-feedback decentralized control scheme is developed. It is proved that the decentralized controlled system is stable and that the tracking and observer errors are able to converge to a neighborhood of zero. A simulation example is given to confirm the validity of the proposed control scheme.