Page 359 - Modern Control Systems
P. 359

Section 5.7  Performance  Indices                                   333













       FIGURE 5.27
       Three performance
       criteria for a     0.0  0.2  0.4  0.6  0.8  1.0  1.2  1.4  1.6  1.8  2.0
       second-order
       system.


                        EXAMPLE 5.7    Space telescope control system

                        The  signal-flow  graph  and  block  diagram  of  a space  telescope  pointing  control
                        system  are  shown  in  Figure  5.28  [9]. We  desire  to  select  the  magnitude  of  the
                        gain, K 3,  to minimize the  effect  of the disturbance, T d(s). In  this case, the  distur-
                        bance is equivalent  to an initial  attitude  error. The closed-loop transfer  function


                                                                     Disturbance
                                                                        TJs)

                                                                  X(s)  +
                                                               K 2                    Y(s)
                        * ( . Y )  •                                                Attitude
                                  *-         A"                s      -^
                                           Damping
                                             v.
                                             1V 3
                                                  Position feedback



                                                        (a)









                        /?(*•)  O                                                 O  Attitude

       FIGURE 5.28
       A space telescope
       pointing control
       system, (a) Block                           Position feedback
       diagram, (b) Signal-
       flow graph.                                      (b)
   354   355   356   357   358   359   360   361   362   363   364