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时间:2010-05-31 02:36来源:蓝天飞行翻译 作者:admin
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234
5     6     7     8     9    10
 t, s    .
~g. 6.22  Unit-step response Oateral-directional) of the general a~niation airplane:
yaw rate~
where
Ap.& = Cy8. (Ixllzl - Ix2zl)
(6.237)
      Bp.81  = -bi CyBr.(lxl Cnr + Clp Izl + Clr Ixzl + Cnplxzl)
                + bi C),p(lzl CL& + Cn8o Ixz I) - (Fr?l  - bi Cyr)(Cl8a Ixzl + Cn8a Ixl)
          (6.238)
Cp.8,  = b?jCy8a(Clp C,,r - Ctr Cnp) + Cy4(CI8, Izl + Cn8a IxzJ)
           - bf C).P (CL8,Cnr - Cn8a C,r) + bi (mi  - bi Cyr)(Cn8" C,p - C,Sa Cnp)
          (6.239)
                   Dp.b" = -bi Cy+ (q8,Cnr - Cn8a Clr)                    (6.240)
Expanding the determinant Aiar, we get a fifth-order polynomial in s, which is of
theYform"F '
Alar = A8 S5 + B8 S4 + CBr"S3 + D8iuS2 + E8rus          (6.241)
582          PERFORMANCE, STABILI-f'Y, DYNAMICS, AND CONTROL
_ Dutch RollApproximation
---  Complete Fifl.h-Ordcr System
t18
Fig. 6 23   Urut-step response (lateral-direchonal) of the general aviation airplane:
angle of yaw.
where
ASm = (mi'- btC:.B) (Ixllzl _"I2zl)                   (6.242)
B8ut = (-C}.p) (Ixllzl - Ix2zl) _ (Trll - biC).B)(lx  Cnrbi + IziCipbi
        + Ixz] Ctrbt + Ixzi Cnpbi) - bi C).p(CiBb} Izl + Cn/Jbi Ixzl)
            + (mi  - bi Cyr)(CIBbllxzl  +  IxICnBbl)                                                    (6.243)
C8   = bjz(mi - bi C),B)(Cip Cnr - qr C,,p) + bi Cyp(lxi Cnr + Izl Clp
        + Ixzl Clr + Ixzl Cnp) - Cy*bi(Cip Izl + Cnp I,zl)
         +bi C).p (C,BC"rb~- - Cip Izl  - Ixzl C"p - Cu C"Bb~)
         + (mi - bi Cyr) (Cip Ixzl + CiBCnpb<- - qp C~b2i + Ixl Cnp)
          (6.244)
[Z
T
-o.5
-1-5
-2.5
AIRPLANE RESPONSE AND CLOSED-LOOP CONTROL          583
          Roil Subsidence Approximation
-  Complete Fifth-Order System
      .I.I.I.                    
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