H&#x0221e; ROBUST CONTROL FOR CHAOTIC MOTION OF FRACTIONAL ORDER D-PMSG WITH LOAD DISTURBANCE

Yang Li; Ding Juxia; Huang Tianmin; Huang Sudan

doi:10.19912/j.0254-0096.tynxb.2021-1024

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Acta Energiae Solaris Sinica ›› 2023, Vol. 44 ›› Issue (3) : 46-54. DOI: 10.19912/j.0254-0096.tynxb.2021-1024

H_∞ ROBUST CONTROL FOR CHAOTIC MOTION OF FRACTIONAL ORDER D-PMSG WITH LOAD DISTURBANCE

Yang Li^1,2, Ding Juxia², Huang Tianmin², Huang Sudan³

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Abstract

Aiming at the chaotic phenomenon of nonlinear fractional order direct-driven permanent magnet synchronous generator (D-PMSG) based wind turbine systems (WTSs) with load disturbance, a new H_∞ robust control method to suppress chaotic motion is proposed. Under the nonlinear chaotic model, it is verified that the load disturbance leads to D-PMSG from stable state to chaotic motion. The fuzzy chaotic model of fractional order D-PMSG with disturbance is established through Takagi-Sugeno (T-S) model. Based on parallel distributed compensation (PDC) control theory, a new design method of fuzzy state feedback H_∞ robust controller is proposed. Applying fractional Lyapunov stability theory, according to Schur complement lemma and contract transformation, a sufficient condition for Mittag-Leffler stability of D-PMSG is given in form of linear matrix inequalities (LMIs). The simulation results in Matlab show that the presented controller has good control performance and strong robustness under fractional order varying and random changing of external load disturbance.

Key words

wind turbines / fuzzy control / chaos control / robust control / load disturbance / fractional order systems

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Yang Li, Ding Juxia, Huang Tianmin, Huang Sudan. H_∞ ROBUST CONTROL FOR CHAOTIC MOTION OF FRACTIONAL ORDER D-PMSG WITH LOAD DISTURBANCE[J]. Acta Energiae Solaris Sinica. 2023, 44(3): 46-54 https://doi.org/10.19912/j.0254-0096.tynxb.2021-1024

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