This paper deals with the fractional modelling of a DC-DC converter, suitable in solar-powered electrical generation systems, and the design of a fractional controller for the aforementioned switching converter. A new model for PV cells is proposed in order to obtain a linear equation for V-I characteristic via scheduling dependence of temperature and irradiance. Due to the fractional nature of the ultracapacitors this kind of controller gives a suitable and good performance.
Martinez-Gonzalez, R. [et al.]. LPV model for PV cell and fractional control of DC-DC converter for photovoltaic systems. A: IEEE International Symposium on Industrial Electronics. "ISIE 2011: proceedings of the IEEE International Symposium on Industrial Electronics: 27-30 June 2011, Gdansk, Poland". Gdansk: IEEE, 2011, p. 1069-1074.