Design and Comparative Analysis of Fractional Order Controllers for CUK Converters

The advancement of science is responsible for the implementation of new technologies from time to time. Fractional order controllers are thus, a result of advancement in the field of controllers characterized by fractional orders. This paper takes a DC-DC Cuk converter; identifies the differential equations governing the system.The system is found to be nonlinear in dynamics, hence it is linearized using average modelling and the small signal analysis is done. The study further designs classical Proportional Integral Derivative (PID) controller and its variants: fractional order controllers i.e. Tilt Integral Derivative (TID) and Fractional Order Proportional Integral Derivative (FOPID) controllers through the evolutionary method known as Genetic Algorithm by minimizing the cost function based on the error specifications. The work further simulates and compares the results so obtained when closed loop system is controlled by the pre-said controllers. A detailed analysis of the plant parameters and output response subjected to constant and time varying input; servo response; regulatory response; and relative stability is carried out.