Page 18 - Journal Cover.pdf
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14   |                                                                                   Matrood & Nassar

















                                                                                         (a)






          Fig. 7: Simulink Implementation of (2DOF) rotating system
                     with (PD – I) dual loop controller

              For    the    purpose    of    comparing  the  results,  the
          uncontrolled  system  will  be  simulated  with  PID  –  D  and
          I – PD controlled system in order to show the summary of
          response among  the  system  torsional  state  variables.  Fig.
          8    shows    the    Simulink      model  implemented    for  the              (b)
          comparisons while Fig. 9 illustrates the response belonging
          to it which shows that the I – PD controller proposed in this
          work  gave  the  best  response  by  eliminating  most  aliasing
          and oscillations in the original system. Table 2 illustrates the
          parametric results and the effects of such controllers on the
          system response.








                                                                                         (c)














             Fig. 8: Simulink model of 2DOF torsional system for
                          comparison purposes                                            (d)

             The  subsystems  represent  the  torsional  system  as   Fig. 9: Response comparisons of 2DOF torsional system (a)
          implemented in Figure 5, the green, dashed line shows the      angular displacement, (b) angular velocity,
          response of uncontrolled system while the blue and red lines    (c) angular acceleration,(d) shaft torque
          indicate  the  response  of  PID  –  D  and  I  –  PD  controlled
          system respectively.
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