This work presents the design of state-feedback robust control law for a DC-DC three-port isolated converter, which interfaces a photovoltaic panel, a rechargeable battery, and an isolated output DC bus. First, the converter is represented through a state-space model that considers disturbances in both the photovoltaic and bidirectional (battery) input ports. The system is linearized around an average operational point, such that robust control techniques can be applied. Due to varying solar irradiation, battery charge, and load levels, the converter is subjected to step-like disturbances. The proposed controller is designed to maintain stabilization and voltage tracking performance in the presence of these disturbances. This approach is different from multiport control strategies usually employed in the literature, which are based on decentralized controllers that require the use of decoupling techniques that can lead to control problems. To ensure robustness, stabilization, and voltage tracking, an $H_{\infty }$ approach with pole placement restrictions and based on linear matrix inequality (LMI) constraints is formulated and solved. Finally, the performance of the proposed controller has been verified via hardware-in-the-loop (HIL) experiments and compared with a decentralized control strategy.

这项工作提出了DC-DC三端口隔离转换器的状态反馈鲁棒控制律的设计，该转换器连接光伏电池板，可充电电池和隔离输出DC总线。首先，转换器通过状态空间模型表示，该模型考虑了光伏和双向（电池）输入端口中的干扰。该系统在平均工作点附近线性化，因此可以应用鲁棒的控制技术。由于太阳辐射，电池电量和负载水平的变化，转换器会遭受阶梯状的干扰。提出的控制器旨在在存在这些干扰的情况下保持稳定和电压跟踪性能。这种方法不同于文献中通常采用的多端口控制策略，它们基于需要使用去耦技术的分散控制器，这些技术可能导致控制问题。为了确保鲁棒性，稳定性和电压跟踪能力，$H_{\infty }$提出并解决了具有极点布置约束并基于线性矩阵不等式（LMI）约束的方法。最后，已通过硬件在环（HIL）实验验证了所提出控制器的性能，并与分散控制策略进行了比较。