Page 329 - Modern Control Systems
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Terms and  Concepts                                                 303
                                                     W

                                        Controller             Process
                                          s+l                    1
                        R(s)   • Q    •
       FIGURE  CP4.10                     s+\5     tO         .s +.v+6.5     -+Y(s)
                                                               2
       Closed-loop
       feedback system
       with external
       disturbances.

                                       Controller            Process
                                                               20
                                 ^   fc   K                                 •  YU)
                                                            2
                                 J   *                      s +4.5s+64
                                 i
                                                   Sensor
       FIGURE  CP4.11
       Closed-loop system                            1
       with a sensor in the                         .v+l
       feedback loop.

                ANSWERS TO SKILLS CHECK

        m  True or False: (1) True; (2) True; (3) False; (4) False;   Word Match  (in order, top to bottom): e, h, k, b, c, f,
                    (5) True                                i,g,d,a,j
                Multiple  Choice: (6)  a;  (7)  b; (8)  a;  (9) b; (10)  c;
                    (ll)a;(12)b;(13)b;(14)c;(15)c



        TERMS AND CONCEPTS

       Closed-loop system  A system with a measurement  of the   Loss of gain  A reduction  in the amplitude of the ratio of
           output  signal and  a comparison  with the  desired  out-  the output signal to the input  signal through  a system,
           put  to generate  an  error  signal  that  is applied  to  the  usually measured  in decibels.
           actuator.
                                                     Open-loop system  A system without feedback that directly
       Complexity  A measure  of the structure, intricateness, or   generates the output in response  to an input signal.
           behavior  of  a  system  that  characterizes  the  relation-  Steady-state  error  The  error  when  the  time  period  is
           ships  and  interactions  between  various  components.
                                                        large and  the  transient  response  has decayed, leaving
       Components  The  parts,  subsystems,  or  subassemblies  the continuous response.
           that comprise a total system.
                                                     System sensitivity  The ratio  of the  change in  the  system
       Disturbance signal  An unwanted input signal that  affects  transfer  function  to  the  change  of  a  process  transfer
           the system's output signal.                  function  (or  parameter)  for  a  small  incremental
                                                        change.
       Error signal  The  difference  between  the desired  output
           R(s)  and  the  actual  output  Y(a).  Therefore,  Tracking error  See error signal.
           E(s)  =  R(s)  -  Y(s).
                                                     Transient response  The  response  of  a system  as a  func-
       Instability  An  attribute  of a system that  describes a ten-  tion of time.
           dency  of  the  system  to  depart  from  the  equilibrium
           condition  when initially displaced.
       Loop  gain  The  ratio  of  the  feedback  signal  to  the  con-
           troller  actuating  signal. For  a  unity  feedback  system
           we have L(x)  =  G c(s)G(s).
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