A Tutorial on a Universal Blockset for Fractional-order Systems

Fractional-Order systems have been studied more universally in recent years and the tools designed to study them have been developing hand in hand. One of the effective tools is the FOTF toolbox in Matlab/Simulink which is used to deal with calculation and simulation of fractional-order calculus and fractional-order transfer functions. FOTF Toolbox proposed by the presenter is now extended and simulation modelling pattern for some more universal blocks are created, such as Universal block diagram pattern for Caputo differential equations; Modelling of fractional-order delayed systems and systems with variable delays; Modelling and simulation of multivariable control systems; Vectorized fractional block for the modelling of fractional-order state space model; the
$(s+a)^{\alpha}$
block for some kinds of irrational transfer function models. In this paper, the catalogues and the FOTF-library of the toolbox are introduced first and then a few examples of usage of the library in simulation are given for further illustration.