This article presents an improved linear-quadratic regulator (LQR) control based on linear matrix inequalities (LMIs) to optimize the key parameters for the closed-loop control of dual-active-bridge (DAB) converters with high system uncertainty. First, the polytopic model of an uncertain DAB converter is introduced according to the simplified DAB equivalent circuit. LMIs are then used in the improved LQR control to derive the optimized control parameters under the given constraints. An improved LMI-LQR hybrid closed-loop control is adopted with the output current introduced in the control loop to enhance the dynamic performance. The performance of the proposed LMI-LQR is compared with the conventional LQR in terms of transient responses under various load and line disturbances. Both the simulation and experimental results are provided to validate the advantages of the proposed control.

中文翻译：

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用于具有高参数不确定性的双有源桥 DC-DC 转换器的稳健 LMI-LQR 控制

本文提出了一种基于线性矩阵不等式 (LMI) 的改进线性二次调节器 (LQR) 控制，以优化具有高系统不确定性的双有源桥 (DAB) 转换器闭环控制的关键参数。首先，根据简化的DAB等效电路，引入不确定DAB转换器的多面体模型。然后在改进的 LQR 控制中使用 LMI，以在给定的约束下导出优化的控制参数。采用改进的LMI-LQR混合闭环控制，将输出电流引入控制回路，提高动态性能。在各种负载和线路干扰下的瞬态响应方面，将所提出的 LMI-LQR 的性能与传统的 LQR 进行了比较。