System modeling using FraCal (Fractional Calculus)

#computer #science #control #engineering #electronics #electrical #chemical #and #bioengineering

Applied fractional calculus (FraCal) theory for identification and control is a recent topic of interest. FraCal allows us to build new mathematical models that classical calculus is not able to. It can offer novel and practical solutions in multidisciplinary areas such as computer science, control engineering, electronics engineering, electrical engineering, chemical engineering, and bioengineering research. In the last few years, this theory has been used to present some remarkable solutions, in areas including identification and modeling methods for linear and nonlinear processes, control structures for unstable and integrating systems such as quadrotor unmanned aerial vehicles, fractional filter designs, modeling Super-capacitors and batteries, and some efficient techniques to handle of fractional-order integrodifferential operators using operational matrices.
In this talk, I will explain why FraCal has tremendous potential to change the way we build system models. Then, one of the new techniques to handle complex fractional operations is highlighted. Finally, we will look at some latest applications, solved using FraCal as an example to demonstrate the merits of this mathematical domain.