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                4                     MICROCOMPUTER INSTRUMENTATION AND CONTROL





                Figure 4.24
                Typical Digital Control
                System













                                                     FPO





















                                          The error signal is sampled, yielding samples e  (where n represents
                                                                                  n
                                      sample number; i.e., n = 1,2, . . .). In a typical digital control system, the
                                      computer generates an output y  for each input sample:
                                                                n

                                                                                     ( e n –  e n 1– )
                                                               (
                                                 y n =  y o +  Pe n +  Ie n +  e n 1– +  e n 2– )∆T +  D-----------------------
                                                                                        ∆T
                                      where
                                          P is the proportional gain
                                          I is the integral gain
                                          D is the differential gain
                                           ∆  T is the time between successive samples
                                      The previous equation represents an example of an algorithm for the particular
                                      control strategy. The example algorithm is a form of a PID (proportional
                                      integral differential) control strategy.



                140                   UNDERSTANDING AUTOMOTIVE ELECTRONICS
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