Some Applications of Fractional Calculus in Engineering

Figure 23

Parameters $t_s\text{,}$$t_p\text{,}$$t_r\text{,}$$ov(\%)$ for the step responses of the closed-loop system for the ISE indice, with a PI${\text{D}}^{\beta }$ controller, when $\delta =\{20,\dots ,100\}$ and $\delta =\infty \text{,}$$x=3.0$ m.

(a)

(b)

(c)

(d)