On Fractional Model Reference Adaptive Control

Figure 1

Fractional adaptive control of the fractional linear system (6). (a) Tracking performance (red line represents the state of the fractional plant, while the blue line represents the state of the fractional reference model); (b) control parameter 𝑎_𝑟(𝑡); (c) control parameter 𝑎_𝑦(𝑡); (d) control input 𝑢(𝑡); (e) estimation of parameter 𝑎_𝑝(𝑡); (f) estimation of parameter 𝑎_𝑦(𝑡).

(a)

(b)

(c)

(d)

(e)

(f)