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                                         THE SYSTEMS APPROACH TO CONTROL AND INSTRUMENTATION               2




                                              The response that is often optimum for many applications is called critical
                                         damping D :
                                                   c
                                                                     D =    M K
                                                                              u
                                                                       c
                                         Critical damping gives the most uniform response for the greatest range of
                                         frequencies. This situation (which is normally the most desirable) is depicted by
                                         the solid curve in Figure 2.11.
                                         Step Response
                    The step response char-   The performance of a system is also represented by its time response which
                    acterizes the perfor-  is closely related to its frequency response. Perhaps the most meaningful method
                    mance of a system.   of assessing the time response of a system is to examine its response to an input
                                         step.  Figure 2.12 is a graph of a step input to the example system as well as the





                    Figure 2.12
                    Step Response of a
                    System












                                                         FPO

























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