Função de Transferência por Regra de Mason

Prévia do material em texto

Problem 7.08PP
Use block-diagram reduction or Mason’s rule to find the transfer function for the system in 
observer canonical form depicted by Fig.
Figure Observer canonical form of a third-order system
Step-by-step solution
Step-by-step solution
step 1 of 3
Step 2 of 3
Mason’s gain formula:
TrMsfer Function = . ^ 4 = V
U {s) t l A
Where K = Number of Forward Paths
C/(s) " A
where J/;^»Gainof Jt* forward path
A = l-(Sum of IndiTidual Loop Gains)+(Sum of Products of two non Touching Loop Gains)
- (Sum of Products of three Non Touching Loop Gains) + -----Aĵ = Nodiing but A , not
touching the ^ forward path.
Step 3 of 3
From the figure.
s s
where , £3 , are the loop gains.
i j + AjS +
+a^s +OiS^