Page 189 - Mathematical Techniques of Fractional Order Systems
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Fractional Order Error Models With Parameter Constraints Chapter | 6  177


              (A)                         Case with α = 0.5
                 6
               ||φ 1 (t)||  5
                                                          Noncoupled  Coupled
                 4
                 0    100   200  300   400   500  600   700   800  900  1000
                                          Case with α = 0.7
                 8
                                                           Noncoupled  Coupled
               ||φ 1 (t)||  6
                 4
                 0    100   200  300   400   500  600   700   800  900  1000
                                          Case with α = 0.9
                 8
                                                           Noncoupled  Coupled
               ||φ 1 (t)||  6
                 4
                 0    100   200  300   400   500  600   700   800  900  1000
                                          Case with α = 1
                 8
                                                           Noncoupled  Coupled
               ||φ 1 (t)||  6
                 4
                 0    100   200  300   400   500  600   700   800  900  1000
                                            Time (s)
              (B)                         Case with α = 0.5
                6
                                                                   Noncoupled
               ||φ 2 (t)||  2                                      Coupled
                4
                0
                 0    100   200  300   400   500  600   700  800   900  1000
                                          Case with α = 0.7
                6
                                                                   Noncoupled
                4
               ||φ 2 (t)||  2                                      Coupled
                0
                 0    100   200  300   400   500  600   700  800   900  1000
                                          Case with α = 0.9
                6
                                                                   Noncoupled
               ||φ 2 (t)||  2                                      Coupled
                4
                0
                 0    100   200  300   400   500  600   700  800   900  1000
                                          Case with α = 1
                6
                                                                   Noncoupled
               ||φ 2 (t)||  2                                      Coupled
                4
                0
                 0    100   200  300   400   500  600   700  800   900  1000
                                           Time (s)
             FIGURE 6.2 Evolution for different values of α, using NCFOAL and CFOAL of the (A)
             Oφ 1 ðtÞO, and (B)Oφ 2 ðtÞO. Ideal conditions.
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