This paper describes an effective and relatively simple design method for an adaptive multi-input single-output (MISO) fuzzy controller for a linear plant with partially known parameters including transport delay. The model reference adaptive control idea was applied, incorporating a reference model that defines the desired closed-loop performance. The reference model containing the fuzzy controller and the plant provides control system performances that are not inferior to those attainable with linear state feedback. The frequency-domain stability conditions for nonlinear state feedback are formulated. They are crucial for the proposed approach and guarantee stability and convergence of the adaptation process. Unlike in other works, the number of MISO fuzzy controller inputs has no restrictions. In this way, the design procedure generalizes the results reported thus far. The idea of automatic fuzzy controller tuning to obtain quasi-optimal system behavior is proposed. The adaptive fuzzy controller design procedure is exemplified for third- and fourth-order systems with delayed feedback.

本文描述了一种有效和相对简单的设计方法，用于线性植物的自适应多输入单输出（MISO）模糊控制器，该控制器具有部分已知的参数，包括运输延迟。应用了模型参考自适应控制思想，其中包含定义了所需闭环性能的参考模型。包含模糊控制器和工厂的参考模型提供的控制系统性能不劣于线性状态反馈所能达到的性能。制定了非线性状态反馈的频域稳定性条件。它们对于建议的方法至关重要，并确保适应过程的稳定性和收敛性。与其他工作不同，MISO模糊控制器输入的数量没有限制。通过这种方式，设计程序可以概括到目前为止所报告的结果。提出了自动模糊控制器整定以获得准最优系统行为的思想。自适应模糊控制器设计过程以延迟反馈的三阶和四阶系统为例。