Design and performance analysis of improved fractional order controller

Abstract

Differential Equation (DE) of fractional-order specifically gives a clear view of fractional-order systems. Since genuine processes are typically or most anticipated to be fractional, employing the fractional-order concept results closer to the actual world. Many recent publications concentrated on employing fractional-order dynamics to describe actual physical processes. In this thesis, fractional calculus is applied in the field of control systems. Fractional-order controller (FOC) has been proposed in numerous studies. The fundamental benefit of an FOC is that it gives the control mechanism greater flexibility in time and frequency responses, enabling better and more reliable functioning of the system. The fractional-order controllers have extra quottuning knobsquot that enable coherent adjustment of the dynamics of the control systems. For example, in some situations, the ability to shape frequency response further results in the creation of control laws that improve control loop performance. The complex control performance requirements may be fulfilled by these fractional-order control principles. The commercial controller is improved by fractional dynamics with amplifier (proportional), fractional-order differentiator, and fractional-order integrator. The selectable fractional-order controller based on fractional-order differentiator/ integrator is presented in this research work. The research work of this thesis is centred on finding an improved fractional design corresponding to real systems. The first step is to select an approximation or realization technique from the literature and then apply a fractional-order differentiator/integrator as a fractional-order element for the next stage. The next step comprises fractional-order element-based designs. Under this, fractional-order semi-differentiator, fractional-order low pass filter, and fractional-order lead/lag controller were realized. Fractional-order element-based controller for the SEDC motor system is analyzed.