Control and Synchronization Chapter | 19 571
FIGURE 19.1 (Continued).
1
V 1 5 z 2 1
2
The fractional order derivative of V 1 is expressed as
q
D V 1 # z 1 ð2 ðz 2 1 α 1 Þ 2 ax 1 Þ
With the choice of the virtual controller as: α 1 5 0, the above function is
reduced to,
q 2
D V 1 #2 az 2 z 1 z 2
1