Logo Passei Direto
Buscar
Material
páginas com resultados encontrados.
páginas com resultados encontrados.
left-side-bubbles-backgroundright-side-bubbles-background

Crie sua conta grátis para liberar esse material. 🤩

Já tem uma conta?

Ao continuar, você aceita os Termos de Uso e Política de Privacidade

Prévia do material em texto

Problem 6.58PP
Consider a unity-feedback system with
G (s) =
1
s (i/20 + 1) (i2/1002 + O.Sj /100 + 1) ■
(a) A lead compensator is introduced with a = 1/5 and a zero at 1/T = 20.
How must the gain be changed to obtain crossover at cue = 31.6 rad/sec, and what is the 
resulting value of Kv7
(b) With the lead compensator in place, what is the required value of K for a lag compensator 
that will readjust the gain to a /Cv value of 100?
fcl Place the, Dole of tfie laa comoensator at 3.16 rad/sec. and determine the zero location that
(c) Place the pole of the lag compensator at 3.16 rad/sec, and determine the zero location that 
will maintain the crossover frequency at ojc = 31.6 rad/sec. Plot the compensated frequency 
response on the same graph.
(d) Determine the PM of the compensated design.
Step-by-step solution
step 1 of 5
G(s)=-
f -5— +l l
UOO 100 )
Step 2 of 5
K(0.05s+1)
(O.Ols+l)
At Ĝ —31.6, Gain —29.6dB 
-201og K=-29.6 => |K=30.2|
K y = K = 30 .2
Step 3 of 5
b. K=Ky KforLag = 100 _
30.2'
Step 4 of 5
c. pole=3.16 rad/sec
To maintam

Mais conteúdos dessa disciplina