Develop an approximate state space. model of a rocket vehicle (space Shuttle at launching) moving vertically above the earth. The vehicle thrust is where in is the rate of mass can be controlled. Assume a J = Km expulsion and drag face is give; as a nonlinear function of velocity. £ -h(t) TTY Weight Thrust ↑ Длад. let the instantaneous mass of the vehicle be m(t) and the drag D = fch square. Assuming an inverse. gravity law and Newton's second law, first write... the differential equation that describe the system (ire, the dynamic fonce balance equation) (Note that this is a nonlinear, -time-variable system)
Develop an approximate state space. model of a rocket vehicle (space Shuttle at launching) moving vertically above the earth. The vehicle thrust is where in is the rate of mass can be controlled. Assume a J = Km expulsion and drag face is give; as a nonlinear function of velocity. £ -h(t) TTY Weight Thrust ↑ Длад. let the instantaneous mass of the vehicle be m(t) and the drag D = fch square. Assuming an inverse. gravity law and Newton's second law, first write... the differential equation that describe the system (ire, the dynamic fonce balance equation) (Note that this is a nonlinear, -time-variable system)
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Transcribed Image Text:Develop
approximate state space model
of a rocket vehicle (Space Shuttle at launching) moving
vertically above the earth The vehicle thrust is
where in is the rate of mass expulsion and
can be controlled. Assume a.. drag face is give;
J = K m
a nonlinear function of velocity.
+
-h(t).
1
Weight
Thrust
↑
Drag.
let the instantaneous mass of
the vehicle be m(t)
and the drag D = f(W)
the
Assuming an inverse.
square
gravity law and Newton's.
second law, first write.....
differential equation that
describe the system (ise, the
dynamic force balance equation)
(Note that this is a nonlinear,
time-variable system)
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