4. P3.8 of Dorf and Bishop (13th edition P3.8) The soft landing of a lunar module descending on the moon can be modeled as shown in Figure P3.8. Define the state variables as x, (1) = y(t), x,(1)= j(t), x,(t)= m(t) and the control as u= m(t), Assume that 9 is the gravity constant on the moon. Find a state variable model for this system. Is this a linear model? Module mg y(1) Thrust =km(1) Lunar surface FIGURE P3.8 Lunar module landing control.

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4. P3.8 of Dorf and Bishop (13th edition P3.8)
The soft landing of a lunar module descending on the moon can be
modeled as shown in Figure P3.8. Define the state variables as
x, (1) = y(t), x,(1)= j(t), x,(1) = m(t) and the control as u = m(t). Assume
that g is the gravity constant on the moon. Find a state variable
model for this system. Is this a linear model?
Module
mg
y(1)
Thrust =km(t)
Lunar surface
FIGURE P3.8 Lunar module landing control.
Transcribed Image Text:4. P3.8 of Dorf and Bishop (13th edition P3.8) The soft landing of a lunar module descending on the moon can be modeled as shown in Figure P3.8. Define the state variables as x, (1) = y(t), x,(1)= j(t), x,(1) = m(t) and the control as u = m(t). Assume that g is the gravity constant on the moon. Find a state variable model for this system. Is this a linear model? Module mg y(1) Thrust =km(t) Lunar surface FIGURE P3.8 Lunar module landing control.
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