Controlling Complex Fractional Order Systems with the PID Controller

Abstract

This paper focuses on the Fractional Complex Order Plant (FCOP) plant model, which has recently acquired favor in applied physics and control systems. The consideration of the physical phenomena of complex plant models and how they impact the stability and durability of the systems is the main addition of this recommended research to the literature. Because the FCOP plant model is the most generic mathematical form, covering the Integer Order Plant (IOP) and Fractional Order Plant (FOP) models, other plant models may be readily developed with this benefit. The physical changes of the computational equations produced with the proposed approach and the suggested IOPID controller are seen for fractional complex order plants. The effects of the factors on the system are investigated alongside simulation values. For the plant type, the benefits and drawbacks of the chosen controller setup can also be discussed.