Explicit Design of Fractional-Order Controller With Less Tuning Complexity for Integrating Time Delay System

This work proposes a straightforward fractional-order control scheme for industrial time-delay systems, where these systems can be approximated as an integrating plus time-delay model. The proposed scheme can improve performance and robustness without requiring the solution of complex equations or the execution of extensive parameter searches. Controller synthesis is conducted analytically, ensuring compliance with performance and robustness criteria in both the time and frequency domains. The presented method is simplified analytically with only two parameters for selection, and other parameters can be calculated using explicit relations. After validating the scheme on nonlinear and higher-order plants, it was further validated on two-area time-delayed cyber-physical and multi-energy standalone microgrid systems. In these studies, the method has effectively responded to cyberattacks and communication time delay issues. After numerical comparisons, the new controller is also validated on a two-tank system to verify its ability towards real-time implementation.