1 (74)

Prévia do material em texto

Problem 3.38PP
In aircraft control systems, an ideal pitch response {qo) versus a pitch command {qc) is described 
by the transfer function 
Qa(s) _ raig(i + l / r )
The actual aircraft response is more complicated than this ideal transfer function; nevertheless, 
the ideal model is used as a guide for autopilot design.
Assume that fris the desired rise time and that
1.789
l - l l
T ~ t r *
t=0.89.
Show that this ideal response possesses a fast settling time and minimal overshoot by plotting 
the step response for tr = 0.8,1.0,1.2, and 1.5 sec.
Step-by-step solution
step 1 of 5
For tp = 0.8 
= 2.23 
t =0.5 
^ = 0.89
Step 2 of 5
Step 3 of 5
=1.789 
s r = 0.625
Step 4 of 5
r, = 1.2
=1.5. T = 0.75
Step 5 of 5
I, = 1.5
0 , = 1.2. t =0.94
1
0.5
\ ' 1 V \ ; 1 /
1 . 
1.6 •.