Matrizes em Forma Canônica de Controle

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Problem 7.03PP
Give the state description matrices in control-canonical fonri for the following transfer functions:
(a) G(J) =
"■> « ' ) = wmTTT-
"F+3+2"
(d) C(j) =
(d) C(i) =
Step-by-step solution
step 1 of 8
(a)
Consider the numerator part of the gain.
= ( 1)
Consider the denominator part of the gain.
a{s)=s"+ 0,$'^ +ajS*~ ̂+...+a^ (2)
Consider the general canonical form of the equation.
c M =
a ( j)
(3)
Substitute equations (1) and (2) in equation (3).
S +fljJ +O2S +*** + fl.
s tep 2 of 8
Write the state description matrices in control canonical form.
A ,=
B ,=
-