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 x1 = y, x2 = dy/dt, x3 = m and the control as u = dm/dt. Assume that g is the gravity constant on the moon. Find a state variable model for this system. Is this a linear model?

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Modnle amar surtice FIGURE P3.8 Lunar module landing control.