P6,17 The goal of vertical cakeoff and landing (VFOL) aircraft is to achieve operation from relatively sunult airports and yet opernte as a nOrmal airomft in level flight [17]. An aircraft taking off in a form similar to a missile (on end) is inherently unstable (see Example 3.4 for a discussion of the inverted pendulum). A con- tro! systeni using adjustable jets can control the vehi- cle, as shown in Figute 16.17. (a) Determine the range of gain for wlhich the system is stable. (b) Determine the gain K tor which the system is marginally stable Bud the roots of the charucteristic equation for this value of K. FIGURE P6.17 Control of a jump jet aircraft. Controller Aircraft dynamics R(s) Y(sx) Desired K(s + 2) Actual vertical s+ 10 s(s – 1) vertical path path

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P6,17 The goal of vertical takeoff and landing (VFOL)
aircraft is to achieve operation froms relatively sal
airports and yet opernte as a neormal airennft in level
flight [17]. An aircraft taking off in a form similar to a
missite (on end) is inherently unstable (see Example
3.4 for a discussion of the inverted pendulum). A con-
tro! systeni using adjustable jets can control the vehi-
cle. as shown in Figute l'6.17. (a) Determine the range
of gain for which the system is slable, (b) Determine
the gain K tor which the system is marginally stable
Bnd the roota of the charucteristic equation for this
value of K.
FIGURE P6.17
Control of a jump-
jet aircraft.
R(s)
Controller
Aircraft dynamics
Y(.s)
Desired
K(s + 2)
Actual
vcrtical
s+ 10
s(s – 1)
vertical
path
path
Transcribed Image Text:P6,17 The goal of vertical takeoff and landing (VFOL) aircraft is to achieve operation froms relatively sal airports and yet opernte as a neormal airennft in level flight [17]. An aircraft taking off in a form similar to a missite (on end) is inherently unstable (see Example 3.4 for a discussion of the inverted pendulum). A con- tro! systeni using adjustable jets can control the vehi- cle. as shown in Figute l'6.17. (a) Determine the range of gain for which the system is slable, (b) Determine the gain K tor which the system is marginally stable Bnd the roota of the charucteristic equation for this value of K. FIGURE P6.17 Control of a jump- jet aircraft. R(s) Controller Aircraft dynamics Y(.s) Desired K(s + 2) Actual vcrtical s+ 10 s(s – 1) vertical path path
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The Controller Transfer Function isGCs=Ks+2s+10The Aircraft Dynamics Transfer Function is:GAs=1ss-1The Feedback Transfer Function is:Hs=1

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