The human immunodeficiency virus (HIV), as one of the most hazardous viruses, causes destructive effects on the human bodies’ immune system. Hence, an immense body of research has focused on developing antiretroviral therapies for HIV infection. In the current study, we propose a new control technique for a fractional-order HIV infection model. Firstly, a fractional model of the HIV model is investigated, and the importance of the fractional-order derivative in the modeling of the system is shown. Afterward, a type-2 fuzzy logic controller is proposed for antiretroviral therapy of HIV infection. The developed control scheme consists of two individual controllers and an aggregator. The optimal aggregator modifies the output of each individual controller. Simulations for two different strategies are conducted. In the first strategy, only reverse transcriptase inhibitor (RTI) is used, and the superiority of the proposed controller over a conventional fuzzy controller is demonstrated. Lastly, in the second strategy, both RTI and protease inhibitors (PI) are used simultaneously. In this case, an optimal type-2 fuzzy aggregator is also proposed to modify the output of the individual controllers based on optimal rules. Simulations results demonstrate the appropriate performance of the designed control scheme for the uncertain system.

人类免疫缺陷病毒（HIV）是最危险的病毒之一，会对人体的免疫系统造成破坏性影响。因此，大量的研究集中在开发针对HIV感染的抗逆转录病毒疗法。在当前的研究中，我们提出了一种针对分数阶HIV感染模型的新控制技术。首先，研究了HIV模型的分数模型，并显示了分数阶导数在系统建模中的重要性。随后，提出了一种用于HIV感染的抗逆转录病毒治疗的2型模糊逻辑控制器。开发的控制方案包括两个单独的控制器和一个聚合器。最佳聚合器修改每个单独控制器的输出。进行了两种不同策略的仿真。在第一个策略中 仅使用逆转录酶抑制剂（RTI），并且证明了所提出的控制器优于常规模糊控制器的优越性。最后，在第二种策略中，同时使用RTI和蛋白酶抑制剂（PI）。在这种情况下，还提出了一种最佳的2型模糊聚合器，用于根据最佳规则修改各个控制器的输出。仿真结果证明了不确定系统设计控制方案的适当性能。还提出了一种最佳的2型模糊聚合器，用于根据最佳规则修改各个控制器的输出。仿真结果证明了不确定系统设计控制方案的适当性能。还提出了一种最佳的2型模糊聚合器，用于根据最佳规则修改各个控制器的输出。仿真结果证明了不确定系统设计控制方案的适当性能。