Page 260 - Modern Control Systems
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CHAPTER             Feedback Control System
              4                Characteristics







                               4.1   Introduction  235
                               4.2   Error Signal Analysis  237
                               4.3   Sensitivity of Control Systems to Parameter Variations  239
                               4.4   Disturbance Signals in a Feedback Control System  242
                               4.5   Control of the Transient Response  247
                               4.6   Steady-State Error  250
                               4.7   The Cost of Feedback  253
                               4.8   Design Examples  254
                               4.9   Control System Characteristics Using Control Design Software  268
                               4.10  Sequential Design Example: Disk Drive Read System  273
                               4.11  Summary  277



                          PREVIEW
                          In this chapter, we explore the role  of error signals to characterize feedback  control
                          system  performance.  The  areas  of  interest  include  the  reduction  of  sensitivity  to
                          model  uncertainties, disturbance  rejection, measurement  noise attenuation,  steady-
                          state errors and transient response characteristics. The error signal is used to control
                          the  process  by  negative  feedback.  Generally  speaking, the  goal  is to  minimize  the
                          error  signal. We  discuss the  sensitivity  of  a system  to parameter  changes, since  it  is
                          desirable  to minimize the  effects  of parameter  variations  and uncertainties. We  also
                          wish to diminish the effect  of unwanted  disturbances and measurement  noise on the
                          ability  of  the  system  to  track  a  desired  input.  We  then  describe  the  transient  and
                          steady-state performance  of a feedback  system and show how this performance  can
                          be readily improved  with feedback.  Of course, the benefits  of a control system  come
                          with an attendant  cost. The chapter concludes with a system performance  analysis of
                          the Sequential Design Example: Disk Drive Read  System.


                          DESIRED OUTCOMES

                          Upon completion  of Chapter 4, students  should:
                           Q  Be aware of the central  role of error signals in analysis of control systems.
                           Q  Recognize the improvements afforded  by feedback  control in reducing system
                              sensitivity to parameter changes, disturbance  rejection, and measurement  noise
                              attenuation.
                           G  Understand  the differences  between controlling the transient response  and  the steady-
                              state response  of a system.
                           G  Have a sense  of the benefits  and costs of feedback  in the control design process.

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