Let a system of input e (t) and output s (t) be described by the system of equations d's(t), ds(1) dx(1) 2. dr² - s(1) = 2. +20x(1) dt dt dx(t) -+10.x(1) = A.(e(1)– s(t)) dt Where x (t) is an internal variable in the system, we suppose that s (0) = s' (0) = Q and x (0) = 0.

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answer the question 3.4 and 3.5 as seen on the picture.

Let a system of input e (t) and output s (t) be described by the system of equations
d's(t) ¸ ds(t)
2.-
dx(1)
s(1) =2.-
dt
-+ 20x(1)
dr
dt
dx(1)
+10.x(1) = A.(e(1)– s(t)
dt
Where x (t) is an internal variable in the system, we suppose that s (0) = s' (0) = Q, and x (0) = 0.
3.1 Draw the functional diagram of this system.
3.2 Determine the open loop transfer function of the Ho (P) system.
3.3 Determine the closed loop transfer function of the HF (P) system. 3.4 Deduce the nature of the system
as well as its parameters.
3.5 For A-20 and e (t) = 2.u (t):
Determine the expression of S (p).
Calculate the initial and final values of s (t).
Transcribed Image Text:Let a system of input e (t) and output s (t) be described by the system of equations d's(t) ¸ ds(t) 2.- dx(1) s(1) =2.- dt -+ 20x(1) dr dt dx(1) +10.x(1) = A.(e(1)– s(t) dt Where x (t) is an internal variable in the system, we suppose that s (0) = s' (0) = Q, and x (0) = 0. 3.1 Draw the functional diagram of this system. 3.2 Determine the open loop transfer function of the Ho (P) system. 3.3 Determine the closed loop transfer function of the HF (P) system. 3.4 Deduce the nature of the system as well as its parameters. 3.5 For A-20 and e (t) = 2.u (t): Determine the expression of S (p). Calculate the initial and final values of s (t).
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