时滞分数阶直驱风力发电机模糊混沌控制

为研究含有状态时滞的分数阶直驱风电系统（D-PMSG）混沌控制问题,提出模糊记忆状态反馈控制策略。首先,利用T-S模糊理论和分数阶微积分理论建立D-PMSG时滞系统模糊混沌模型;其次,基于并行分布补偿（PDC）控制技术,设计出模糊记忆状态反馈控制器;然后,利用Lyapunov稳定性理论和分数阶微积分性质,基于Schur补引理,以线性矩阵不等式（LMI）形式给出系统渐近稳定的充分条件;最后,利用Oustaloup滤波器逼近分数阶微积分算子,搭建仿真模型,验证该系统模型的正确性及控制方案的有效性,与无记忆状态反馈控制器相比,模糊记忆状态反馈控制器具有更好的控制性能和鲁棒性能。

FUZZY CHAOS CONTROL FOR FRACTIONAL-ORDER D-PMSG WITH STATE TIME-DELAY

Aiming to the chaotic motion protlem of fractional order direct-driven permanent magnet synchronous generator（D-PMSG） with state time-delay, a fuzzy memory state feedback control strategy is proposed. Firstly, the fuzzy chaotic model of fractional order D-PMSG with state time-delay is established by using T-S fuzzy theory and fractional calculus theory. Secondly, based on parallel distributed compensation（PDC） control technology, a fuzzy memory state feedback controller is designed. Then, by combining Lyapunov stability theory and the properties of fractional calculus, based on Schur complement lemma, the sufficient conditions for the asymptotic stability of time-delay system are given in the form of linear matrix inequality（LMI）. Finally, by using Oustaloup filter, the simulation model of fractional order time-delay system is built to verify the correctness of the model and the effectiveness of the control scheme. The simulation experiments show that compared with the memoryless state feedback controller, the fuzzy memory state feedback controller has better control performance and robustness.