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┃  ┣━┻━┫                                                                  ┣━━━━━━━━━━━━━━━━━━━━━━┫
┃  ┃      ┃.~f.....,:......-.... -                                           ┃__--                                        ┃
┣━┫      ┣━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╋━━━━━━━━━━━━━━━━━━━━━━┫
┃  ┃      ┃                                                                  ┃ '........N........"'-                      ┃
┣━┻━━━╋━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┫                                            ┃
┃          ┃ .....:......,.........:                                          ┃~                                           ┃
┃          ┃                      . . . . ... . . . . .. . . . - . . . . . .  ┃~                                           ┃
┃          ┃                                   I                              ┃                                    I       ┃
┗━━━━━┻━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┻━━━━━━━━━━━━━━━━━━━━━━┛
o         5        10
  15        20        25        30
Time, s
Fig. 6.55    Unit-step response of the pitch displacement autopilot for the general avi-
atlion airplane.
AIRPLANE RESPONSE AND CLOSED-LOOP CONTROL         623
6.6 Summarlt  .
      In this chapter, we have studied the longitudinal and lateral-directional responses
of the airplane. The longitudinal response of a statically stable airplane consists
of two distinct modes, the short-period mode and the phugoid mode. The lateral-
direction motion comprises roll~subsidence mode, the Dutch-roll oscillation, and
the spiral modes. Accordingly, we obtained simplified transfer functions and state-
space models to study these modes individually. These simplified transfer functions
 
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PERFORMANCE, STABILITY, DYNAMICS, AND CONTROL4(19)