Page 187 - Mathematical Techniques of Fractional Order Systems

Fractional Order Error Models With Parameter Constraints Chapter | 6 175

(A) Case with α = 0.5
6
Noncoupled
||e 1 (t)|| 4 2 Coupled

0
0 5 10 15 20 25 30 35 40 45 50
Case with α = 0.7
6
Noncoupled
||e 1 (t)|| 4 2 Coupled
0
0 5 10 15 20 25 30 35 40 45 50
Case with α = 0.9
6
Noncoupled
4
||e 1 (t)|| 2 Coupled
0
0 5 10 15 20 25 30 35 40 45 50
Case with α = 1
6
Noncoupled
||e 1 (t)|| 4 2 Coupled
0
0 5 10 15 20 25 30 35 40 45 50
Time (s)
(B) Case with α = 0.5
1.5
Noncoupled
||e 2 (t)|| 0.5 Coupled
1
0
0 100 200 300 400 500 600 700 800 900 1000
Case with α = 0.7
1.5
Noncoupled
1
||e 2 (t)|| 0.5 Coupled
0
0 100 200 300 400 500 600 700 800 900 1000
Case with α = 0.9
1.5
Noncoupled
||e 2 (t)|| 0.5 1 Coupled
0
0 100 200 300 400 500 600 700 800 900 1000
Case with α = 1
1.5
Noncoupled
||e 2 (t)|| 0.5 1 Coupled
0
0 100 200 300 400 500 600 700 800 900 1000
Time (s)
FIGURE 6.1 Evolution for different values of α, using NCFOAL and CFOAL of the (A)
Oe 1 ðtÞO, and (B)Oe 2 ðtÞO. Ideal conditions.