Consensus of T-S fuzzy fractional-order, singular perturbation, multi-agent systems

Wang, X., Zhang, X. ORCID: https://orcid.org/0000-0002-2831-5747, Pedrycz, W. ORCID: https://orcid.org/0000-0002-9335-9930, Yang, S.-H. ORCID: https://orcid.org/0000-0003-0717-5009 and Boutat, D. ORCID: https://orcid.org/0000-0001-6026-5674 (2024) Consensus of T-S fuzzy fractional-order, singular perturbation, multi-agent systems. Fractal and Fractional, 8 (9). 523. ISSN 2504-3110 doi: 10.3390/fractalfract8090523

Abstract/Summary

Due to system complexity, research on fuzzy fractional-order, singular perturbation, multi-agent systems (FOSPMASs) remains limited in control theory. This article focuses on the leader-following consensus of fuzzy FOSPMASs with orders in the range of 0, 2. By employing the T-S fuzzy modeling approach, a fuzzy FOSPMAS is constructed. In order to achieve the consensus of a FOSPMAS with multiple time-scale characteristics, a fuzzy observer-based controller is designed, and the error system corresponding to each agent is derived. Through a series of equivalent transformations, the error system is decomposed into fuzzy singular fractional-order systems (SFOSs). The consensus conditions of the fuzzy FOSPMASs are obtained based on linear matrix inequalities (LMIs) without an equality constraint. The theorems provide a way to tackle the uncertainty and nonlinearity in FOSPMASs with orders in the range of 0, 2. Finally, the effectiveness of the theorems is verified through an RLC circuit model and a numerical example.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/118440
Identification Number/DOI	10.3390/fractalfract8090523
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
Publisher	MDPI
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