This study proposes a method of designing quadratic optimal fuzzy parallel-distributed-compensation controllers for a class of time-varying Takagi–Sugeno fuzzy model–based time-delay control systems used to solve the finite-horizon optimal control problem. The proposed method fuses the orthogonal function approach and the improved hybrid Taguchi-genetic algorithm. The Taguchi-genetic algorithm only requires algebraic computation to perform the algorithm used to solve time-varying Takagi–Sugeno fuzzy model–based time-delay feedback dynamic equations. The fuzzy parallel-distributed-compensation controller design problem is simplified by using the Taguchi-genetic algorithm to transform the static parameter optimization problem into an algebraic equation. The static optimization problem can then be solved easily by using the improved hybrid Taguchi-genetic algorithm to find the quadratic optimal parallel-distributed-compensation controllers of the time-varying Takagi–Sugeno fuzzy model–based time-delay control systems. The applicability of the proposed integrative method is demonstrated in a real-world design problem.

这项研究提出了一种用于设计一类基于时变Takagi–Sugeno模糊模型的时滞控制系统的二次最优模糊并行分布补偿控制器的方法，该系统用于解决有限水平最优控制问题。所提出的方法融合了正交函数方法和改进的混合田口遗传算法。Taguchi遗传算法仅需要进行代数计算即可执行用于求解时变Takagi–Sugeno模糊模型为基础的时滞反馈动态方程的算法。通过使用Taguchi遗传算法将静态参数优化问题转换为代数方程，简化了模糊并行分布补偿控制器的设计问题。通过使用改进的混合Taguchi遗传算法找到时变的基于Takagi–Sugeno模糊模型的时滞控制系统的二次最优并行分布补偿控制器，可以轻松解决静态优化问题。在实际的设计问题中证明了所提出的集成方法的适用性。