2.20 The soft landing phase of a lunar module descending on the moon can be modeled as shown in Fig. 2.26. The thrust generated is assumed to be proportional to m, where m is HOUS 1.26 f mg Thrust = km Lunar surface 02 the mass of the module. Then the system can be described by my=-km-mg, where g

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The soft landing phase of a lunar module descending on the moon can be modeled as
sin off shown in Fig. 2.26. The thrust generated is assumed to be proportional to m, where m is
2.20
FIGURE 2.26
mg
Thrust = km
Lunar surface
the mass of the module. Then the system can be described by my = -km - mg, where g
Transcribed Image Text:The soft landing phase of a lunar module descending on the moon can be modeled as sin off shown in Fig. 2.26. The thrust generated is assumed to be proportional to m, where m is 2.20 FIGURE 2.26 mg Thrust = km Lunar surface the mass of the module. Then the system can be described by my = -km - mg, where g
2.21
is the gravity constant on the lunar surface. Define state variables of the system as x₁ = y,
x2 = y, x3 = m, and u = m. Find a state-space equation to describe the system.
Find the transfer functions from u to y₁ and from y₁ to y of the hydraulic tank system
shown in Fig. 2.27. Does the transfer function from u to y equal the product of the two
transfer functions? Is this also true for the system shown in Fig. 2.16? [Answer: No,
Transcribed Image Text:2.21 is the gravity constant on the lunar surface. Define state variables of the system as x₁ = y, x2 = y, x3 = m, and u = m. Find a state-space equation to describe the system. Find the transfer functions from u to y₁ and from y₁ to y of the hydraulic tank system shown in Fig. 2.27. Does the transfer function from u to y equal the product of the two transfer functions? Is this also true for the system shown in Fig. 2.16? [Answer: No,
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