1 (167)

Prévia do material em texto

Problem 5.31 PP
Consider the rocket-positioning system shown in Fig.
(a) Show that if the sensor that measures x has a unity transfer function, the lead compensator 
stabilizes the system.
(b) Assume that the sensor transfer function is modeled by a single pole with a 0.1 sec time 
constant and unityDCgain. Using the root-locus procedure, find a value for the gain K that will 
provide the maximum damping ratio.
Figure Block diagram for rocket-positioning control system
Figure Block diagram for rocket-positioning control system
X
Step-by-step solution
step 1 of 2
Root locus shows that the system is a stable system
Step 2 of 2
b. H ,(s )*
O .ls+l
At K=5, Damping ratio i s maximum