Adaptive fuzzy decentralised control for fractional-order interconnected nonlinear systems with input saturation

• Published in: International journal of systems science Vol. 52; no. 13; pp. 2689 - 2703
• Main Authors: Zhan, Yongliang, Sui, Shuai, Tong, Shaocheng
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis 03.10.2021; Taylor & Francis Ltd
• Subjects: Adaptive control; adaptive fuzzy decentralised control; backstepping control technique; Continuity (mathematics); Control stability; Control theory; Decentralized control; Fractional-order interconnected nonlinear systems; Fuzzy control; Fuzzy logic; Fuzzy systems; input saturation; Nonlinear systems; Permanent magnets; Saturation; Synchronous motors; Tracking errors
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2021.1895359

This paper studies the fuzzy decentralised control issue for the fractional-order interconnected nonlinear systems with input saturation. The fuzzy logic systems (FLSs) and piecewise functions are used to approximate unknown nonlinear continuous functions and the input saturation of the considered systems. Under the frameworks of the backstepping control design technique and adaptive fuzzy decentralised control theory, an adaptive fuzzy decentralised control strategy is proposed. In view of fractional-order Lyapunov stability theory, it confirms the stability of the control plants and the convergence of the tracking errors. Finally, two simulation examples are applied to confirm the practicability and validity of the presented control strategy, in which, one is the two-order numerical fractional-order large-scale systems, the other one is the fractional-order permanent magnet synchronous motor (PMSM) model.