Stability of Fractional Order Systems

Table 1

Stability indices of 𝐾/(𝑠(𝑠+1)^𝛼(𝑠+2)) for 𝛼∈{0,1/2,1,3/2,2,5/2,3}.

𝛼	𝐾𝑢	PM	𝜔1	GM	𝜔𝜋
0		1.332478866	0.4858682677
0.5	17.0542240216776	1.125696835	0.4639038816	16.97056274	2.828427124
1	6	0.9321940595	0.4457479715	6	1.414213562
1.5	3.3537212820799	0.7492952635	0.4303313791	3.338364465	0.9397638161
2	2.25	0.5751435644	0.4169759154	2.25	0.7071067811
2.5	1.69381413351661	0.4083841882	0.4052247852	1.680695653	0.5691429584
3	1.347	0.2479905647	0.3947560116	1.33607116	0.4774914945