Q-Learning-based Finite Control Set Model Predictive Control for LCL-Coupled Inverters with Deviated Parameters

Lei Zhang, Yunjian Peng, Weijie Sun, Jinze Li
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Abstract

Finite Control Set (FCS) Model Predictive Control (MPC), as an efficient method used for current tracking of LCL-Coupled three-phase inverters, runs into high computational complexity while finding its optimal version with a long predictive interval. For such a difficult problem we take a value function with discounted factors as an indicator to measure the pros and cons of control and propose a novel alternative method based on Q-learning algorithm. In the control scheme, the value function is approximated by reinforcement learning(RL) algorithm and furthermore, the long horizons prediction is transformed into an iterative multi-step matrix calculation. At the same time, the optimal switching position is directly obtained without a modulation link, which greatly reduces the computational complexity. Accordingly, a data-driven Q-learning algorithm is designed with a proof of convergence. Last, the proposed algorithm's performance in the case of complete deviation from the (unknown) system parameters is verified by simulations.
基于q -学习的lcl耦合参数偏差逆变器有限控制集模型预测控制
有限控制集(FCS)模型预测控制(MPC)作为一种用于lcl耦合三相逆变器电流跟踪的有效方法,在寻找具有较长预测间隔的最优版本时,计算复杂度较高。针对这一难题,我们采用带有折现因子的值函数作为衡量控制优劣的指标,提出了一种基于Q-learning算法的替代方法。在控制方案中,采用强化学习(RL)算法逼近值函数,并将长视界预测转化为迭代的多步矩阵计算。同时,无需调制链路直接获得最优开关位置,大大降低了计算复杂度。据此,设计了一种数据驱动的q -学习算法,并证明了算法的收敛性。最后,通过仿真验证了该算法在完全偏离(未知)系统参数情况下的性能。
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