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To achieve good servo and regulatory responses, a generalized fractional-order tilt-integral-derivative (FOTID) control is developed in this study for time-delayed fractional-order processes. To enhance the closed-loop robustness, the controller parameters are calculated based on maximum sensitivity ( Ms   ). To check the performance and robustness of the suggested control law, several case studies on industrial processes like DC servo systems, Level-loop, Bio-reactors, Fuel cells and CSTR are performed and compared with existing designs. The robustness of the proposed controller is analysed by employing 20 percent perturbation in plant parameters. Lastly, a comparison of the closed-loop response on different error indices is included.

IMC-based fractional order TID controller design for different time-delayed chemical processes: case studies on a reactor model