受扰分数阶直驱风电机组混沌运动的H&#x0221e;鲁棒控制

杨莉; 丁菊霞; 黄天民; 黄苏丹

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

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太阳能学报 ›› 2023, Vol. 44 ›› Issue (3) : 46-54. DOI: 10.19912/j.0254-0096.tynxb.2021-1024

受扰分数阶直驱风电机组混沌运动的H_∞鲁棒控制

杨莉^1,2, 丁菊霞², 黄天民², 黄苏丹³

作者信息 +

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

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

Author information +

文章历史 +

摘要

针对含有负载扰动的非线性分数阶直驱永磁同步风力发电机组（D-PMSG）存在混沌现象,提出一种抑制混沌运动的新型H_∞鲁棒控制方法。在非线性D-PMSG混沌模型下,验证负载扰动会导致D-PMSG呈现混沌现象。采用Takagi-Sugeno（T-S）模型建立受扰分数阶D-PMSG模糊混沌模型。基于并行分布补偿（PDC）控制理论,提出一种新型模糊状态反馈H_∞鲁棒控制器设计方法。利用分数阶Lyapunov稳定性理论,依据Schur补引理和合同变换,以线性矩阵不等式（LMIs）形式推导出D-PMSG系统Mittag-Leffler稳定的充分条件。Matlab仿真结果表明,该控制器在分数阶阶次变化和外界负载扰动随机变化情况下具有良好的控制性能和较强的鲁棒性。

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.

导出引用

杨莉, 丁菊霞, 黄天民, 黄苏丹. 受扰分数阶直驱风电机组混沌运动的H_∞鲁棒控制[J]. 太阳能学报. 2023, 44(3): 46-54 https://doi.org/10.19912/j.0254-0096.tynxb.2021-1024

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

中图分类号： TP273 TM315

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