The Photovoltaic (PV) systems have arisen as one of the best alternatives to electrical power generation based on renewable sources. However, such systems lack on energy transformation efficiency that gets worse in weather changing conditions. Hence, the application of Maximum Power Point Tracking (MPPT) methods that can extract the maximum power even for varying weather conditions is an essential task in PV systems. This paper proposes the design of a robust MPPT system composed by a regression plane to generate the voltage references that obtain the maximum PV power and a robust feedback controller based on the Attractive Ellipsoid Method (AEM) to track such reference applied to a PV array that supplies a load through a buck-boost converter. AEM is a methodology to design robust controllers for a specific class of systems satisfying a boundedness condition even in the case of incomplete system information. The stability of the system even under uncertainties and external disturbances is guaranteed by solving an optimization problem which generates the optimal controller gains using Linear Matrix Inequalities (LMI).

光伏（PV）系统已成为基于可再生能源的发电的最佳替代方案之一。然而，这样的系统缺乏能量转换效率，该能量转换效率在天气变化的条件下变得更糟。因此，即使在变化的天气条件下，也可以提取最大功率的最大功率点跟踪（MPPT）方法的应用是光伏系统中的一项基本任务。本文提出了一种稳健的MPPT系统的设计，该系统由一个回归平面组成，以生成获得最大PV功率的电压参考，以及一个基于吸引力椭球法（AEM）的鲁棒反馈控制器，用于跟踪应用于PV阵列的参考通过降压-升压转换器提供负载。AEM是一种方法，即使在系统信息不完整的情况下，也可以为满足有界条件的特定类别的系统设计鲁棒的控制器。通过解决优化问题来保证系统即使在不确定性和外部干扰下的稳定性，该优化问题使用线性矩阵不等式（LMI）生成最佳控制器增益。