The integration of the large-scale photovoltaic systems has experienced significant growth, which is similarly expected to occur with small-scale photovoltaic systems. Since small-scale systems must be simple in cost-effective components, control strategies must be implemented in low complexity circuits. However, current maximum power point tracking (MPPT) algorithms are generally complex and require electronic components to support variable control gains for different irradiance conditions, preventing simple MPPT implementations suitable for small-scale photovoltaic systems. This paper proposes a new control strategy to tackle the power tracking problem of the power systems. First, a dynamic model of the photovoltaic system is described and converted into a Takagi–Sugeno (T-S) model. Then, an MPPT scheme is proposed in series with a fixed integral and a fuzzy gain state delay feedback controller, which avoids the need for a variable control gain, simplifying the electronic implementation of the control strategy. New delay-dependent stabilization conditions based on the Lyapunov-Krasovskii functional are proposed in terms of a convex optimization problem, where the delayed feedback and integral gains are designed simultaneously. Simulation results using Matlab and Simulink are used to validate the proposed method.

中文翻译：

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光伏系统的 Takagi-Sugeno 状态延迟反馈和积分控制：建模、仿真和控制

大型光伏系统的集成经历了显着增长，预计小型光伏系统也将出现这种情况。由于小规模系统必须在具有成本效益的组件中简单，因此必须在低复杂度的电路中实施控制策略。然而，当前的最大功率点跟踪 (MPPT) 算法通常很复杂，并且需要电子组件来支持针对不同辐照度条件的可变控制增益，从而阻碍了适用于小型光伏系统的简单 MPPT 实现。本文提出了一种新的控制策略来解决电力系统的功率跟踪问题。首先，描述了光伏系统的动态模型并将其转换为 Takagi-Sugeno (TS) 模型。然后，提出了与固定积分和模糊增益状态延迟反馈控制器串联的 MPPT 方案，避免了对可变控制增益的需要，简化了控制策略的电子实现。根据凸优化问题提出了基于 Lyapunov-Krasovskii 泛函的新的延迟相关稳定条件，其中延迟反馈和积分增益是同时设计的。使用 Matlab 和 Simulink 的仿真结果用于验证所提出的方法。其中延迟反馈和积分增益是同时设计的。使用 Matlab 和 Simulink 的仿真结果用于验证所提出的方法。其中延迟反馈和积分增益是同时设计的。使用 Matlab 和 Simulink 的仿真结果用于验证所提出的方法。